### Probability Distribution of Adults with Psychiatric DisordersThe National Institute of Mental Health reports that there is a 20% chance of an adult American suffering from a psychiatric disorder. Four randomly selected adult Americans are examined for psychiatric disorders. Let the number of adults who suffer from psychiatric disorders be represented by the random variable, $ X $.1. **Number of trials ($ n $)**: $ n = 4 $2. **Probability of success ($ p $)**: $ p = 0.20 $ (Round to 4 decimal places)3. **Probability of failure ($ 1 - p $)**: $ 1 - p = 0.64 $ (Round to 4 decimal places)4. **Probability Distribution Table**: Prepare the probability distribution for the random variable $ X $. Complete the following table. Round your answers to 4 decimal places, e.g. 0.XXXX or .XXXX.| $ X = x $ | $ P(X = x) $ ||-------------|----------------|| 0 | 0.4096 || 1 | 0.4096 || 2 | 0.1536 || 3 | || 4 | |Please fill in the remaining probabilities to complete the table.

Name: ### Probability Distribution of Adults with Psychiatric DisordersThe
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: ### Probability Distribution of Adults with Psychiatric DisordersThe National Institute of Mental Health reports that there is a 20% chance of an adult American suffering from a psychiatric disorder. Four randomly selected adult Americans are examin

Math

Statistics

The National Institute of Mental Health reports that there is a 20% chance of an adult American suffering from a psychiatric disorder. Foum randomly selected adult Americans are examined for psychiatric disorders. Let the number of adults who suffers from psychiatric disast be represented by the random variable, X

The National Institute of Mental Health reports that there is a 20% chance of an adult American suffering from a psychiatric disorder. Foum randomly selected adult Americans are examined for psychiatric disorders. Let the number of adults who suffers from psychiatric disast be represented by the random variable, X

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Postpartum depression and anxiety (PPD). is a common medical condition affecting mothers and their…

Q: Postpartum depression and anxiety (PPD), is a common medical condition affecting mothers and their…

A: From the provided information,Simple random sample of 74 women who had given birth in the last year…

Q: An environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in the city…

A: Sample size (n) = 173Population proportion (p) = 0.08Thus,

Q: A simple random sample of size n 200 drivers with a valid driver's license is asked if they drive an…

A: Solution: Given information: n= 200 Sample size of drivers x = 122 drivers drive an American made…

Q: Please see below. Thank you!

A: This question is abut hypothesis testing independet sample t test. In this we have to test whether…

Q: Postpartum depression and anxiety (PPD), is a common medical condition affecting mothers and their…

A: Givenclaim is The true percentage of women who have PPD is greater than…

Q: An environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in the city…

A: Sample size(n)=143 Population proportion(P)=0.04 q=1-p q=1-0.04=0.96

Q: Postpartum depression and anxiety (PPD), is a common medical condition affecting mothers and their…

Q: According to the Federal Trade Commission report on consumer fraud and identity theft, 23% of all…

A: The objective of this question is to identify the random variable, population parameter, and…

Q: A simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive…

A: The answer to the question : "Do you drive an American-made automobile?" is either "Yes" or "No"…

Q: Postpartum depression and anxiety (PPD), is a common medical condition affecting mothers and their…

A: sample size(n)=116 x=18 significance level(α)=0.10 sample proportion(p^)=xn=18116≅0.1552

Q: Postpartum depression and anxiety (PPD), is a common medical condition affecting mothers and their…

A: Given that, The CDC estimated that 17% of women who have recently given birth suffer from PPD.

Q: The article "Euthanasia Still Acceptable to Solid Majority in U.S."t summarized data from a survey…

A: Given,n=1025x=707sample proportion(p^)=xnp^=7071025=0.6898

Q: Researchers wish to test whether marijuana use among full-time college students aged 19-22 at a…

A: 1) The appropriate Null and Alternative Hypotheses are given below: From the given information, the…

Q: From public records, individuals were identified as having been charged with drunken driving not…

A: Her it is given that , two random samples from this group were studied. In the first sample of 25…

Q: The Food and Drug Administration (FDA) regulates the amount of mercury in consumable fish, where…

A: The objective of this question is to identify the random variable, population parameter, and…

Q: Annie is concerned over a report that a woman over the age of 40 has a better chance of being killed…

A: The hypothesis test is used to test whether the population parameter is equal to claimed value or…

Q: The Food and Drug Administration (FDA) regulates the amount of mercury in consumable fish, where…

A: Given information- We have given that according to FDA the amount of mercury in consumable fish,…

Q: USA Today article claims that the proportion of people who believe global warming is a serious issue…

A: Given that Sample size n =20 Favorable cases x =12 Sample proportion p^=x/n =12/20 =0.60

Q: A union of restaurant and foodservice workers would like to estimate this year's mean hourly wage,…

A: Given Data:Meanμ =$8.16Sample mean x =$8.46Sample standard deviation s =$1.15Type -I error:Rejecting…

Q: A researcher believes that children who attend elementary school in a rural setting have lower…

A: Given: n1=95x1=14n2=100x2=26α=0.05

Q: According to the Federal Trade Commission report on consumer fraud and identity theft, 23% of all…

A: 1. The symbol for the random variable involved in this problem is p^ (p-hat). Thus, the symbol for…

Q: Postpartum depression and anxiety (PPD), is a common medical condition affecting mothers and their…

A: Given X=20 n=101

Q: An industrial psychologist feels that a big factor in job turnover among assembly-line workers is…

A: The sample sizes are 10 and 17.

Q: A college professor hypothesizes that readers will comprehend more when reading a graphic novel than…

A: The process through which experimental subjects are assigned to any of the groups (i.e., treatment…

Q: Postpartum depression and anxiety (PPD), is a common medical condition affecting mothers and their…

A: Claim: the true percentage of women who have PPD is greater than 18%

Q: Researchers investigate how the presence of cell phones influence the quality of human interaction.…

A: Given information: Researchers are interested to study the effect of the cell phones quality of…

Q: When neither the subject nor those having contact with the subject know the treatment assignment,…

A: Given a statement and we have to choose the correct option.

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

### Probability Distribution of Adults with Psychiatric Disorders

The National Institute of Mental Health reports that there is a 20% chance of an adult American suffering from a psychiatric disorder. Four randomly selected adult Americans are examined for psychiatric disorders. Let the number of adults who suffer from psychiatric disorders be represented by the random variable, $ X $.

1. **Number of trials ($ n $)**:
$ n = 4 $

2. **Probability of success ($ p $)**:
$ p = 0.20 $
(Round to 4 decimal places)

3. **Probability of failure ($ 1 - p $)**:
$ 1 - p = 0.64 $
(Round to 4 decimal places)

4. **Probability Distribution Table**:
Prepare the probability distribution for the random variable $ X $. Complete the following table. Round your answers to 4 decimal places, e.g. 0.XXXX or .XXXX.

| $ X = x $ | $ P(X = x) $ |
|-------------|----------------|
| 0 | 0.4096 |
| 1 | 0.4096 |
| 2 | 0.1536 |
| 3 | |
| 4 | |

Please fill in the remaining probabilities to complete the table.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Postpartum depression and anxiety (PPD), is a common medical condition affecting mothers and their families after the birth of a baby. The CDC estimated that 18% of women who have recently given birth suffer from PPD. However, this research only reflected self-reported cases. Therefore, one group dedicated to helping women and their families with PPD believes that the true percentage of women who suffer from PPD is much higher. The group conducts a simple random sample of 112 women who had given birth in the last year and discovers that 26 of them report having PPD. Based on this evidence, can the group claim that the true percentage of women who have PPD is greater than 18%? Use a 0.05 level of significance. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
Postpartum depression and anxiety (PPD), is a common medical condition affecting mothers and their families after the birth of a baby. The CDC estimated that 18 % of women who have recently given birth suffer from PPD. However, this research only reflected self-reported cases. Therefore, one group dedicated to helping women and their families with PPD believes that the true percentage of women who suffer from PPD is much higher. The group conducts a simple random sample of 119 women who had given birth in the last year and discovers that 28 of them report having PPD. Based on this evidence, can the group claim that the true percentage of women who have PPD is greater than 18 % ? Use a 0.10 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho :p = 0.18 Ha:P 0.18 Answer E Tables E Keypad Keyboard Shortcuts O > Prev Nex © 2021 Hawkes Learning JIS A
Teenagers who do not sleep well or long enough may have a higher risk of raised blood pressure, which could lead to cardiovascular disease later in life. The odds of raised blood pressure increase 3.5 times for those who have trouble falling asleep at night or who wake up too early and 2.5 times for those with sleeping periods of fewer than 6.5 hours. A health psychologist is interested in studying teenagers who have diastolic blood pressure scores in the top 20%. Diastolic blood pressure scores for teenagers follow a normal distribution with μ = 72 and σ = 10. Use the Distributions tool to help answer the questions that follow. The minimum z-score necessary to be in the top 20% of the diastolic blood pressure distribution is z =0.842 . Use this z-score to determine X, the corresponding diastolic blood pressure score. X = 80.42 This score, X, is the 80th percentile of diastolic blood pressure scores among teenagers. The percentile rank of this score is 80%…
An environmentalist wishes to conduct a hypothesis test on the percentage of cars driven in the city that are hybrids. Is it sufficient for him to use a simple random sample of 173 cars if hybrids currently account for 8%of the car sales in the country and he claims that the percentage of hybrids in the city is higher than that?
Postpartum depression and anxiety (PPD), is a common medical condition affecting mothers and their families after the birth of a baby. The CDC estimated that 18% of women who have recently given birth suffer from PPD. However, this research only reflected self-reported cases. Therefore, one group dedicated to helping women and their families with PPD believes that the true percentage of women who suffer from PPD is much higher. The group conducts a simple random sample of 112 women who had given birth in the last year and discovers that 26 of them report having PPD. Based on this evidence, can the group claim that the true percentage of women who have PPD is greater than 18%? Use a 0.05 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision. 1. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the true percentage of women who have PPD is greater than 18%. 2. We fail to reject the…
Public Agenda conducted a survey of 1379 parents and 1342 students in grades 6-12 regarding the importance of science and mathematics for success in life after school. 50% of the students thought these skills were essential and 62% of the parents thought these subjects were crucial for success. The two random samples were selected independently of each other. Is there enough evidence to conclude that the proportion of parents who feel science and math are important for success is higher than the proportion of students who feel the same way? Conduct your test with a level of significance of 0.05.
A researcher takes a sample of 50 individuals and administers a background check to identify the number of prior arrests for each person. For whatever reason, one person is removed from the analysis and another random person is selected to replace that person. Having no additional information, what is your best guess of the number of prior arrests experienced by the replacement person? Why?
Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
A simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 118 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drive an American-made automobile at the a = 0.05 level of significance. ..... What type of variable is "drive an American-made automobile, or not"? A. Qualitative with two possible outcomes B. Discrete C. Continuous…
In a study of red/green color blindness, 800 men and 2050 women are randomly selected and tested. Among the men, 68 have red/green color blindness. Among the women, 5 have red/green color blindness. We wish to test the claim that men have a higher rate of red/green color blindness. The test statistic is?The p-value is?
An experiment was conducted to test if 2 new anti-anxiety medications will have an effect on number of anxiety symptoms. The researcher randomly assigned participants to one of the three experimental groups. Groups 1 and 2 took the 2 new medications while Group 3 took a placebo pill. The researcher was interested in determining whether there would be a difference in the number of anxiety symptoms among the three groups. Assume an alpha level of 0.05 and a two-tailed test. What statistical test should you use to evaluate the hypothesis above? one-way independent ANOVA Pearson Product-Moment Correlation simple linear regression multiple linear regression three-way independent ANOVA
Please answer the following question and show work! Answer all parts. Thank you