1. Response insurance collects data on seat-belt usage among U.S. drivers. Of 2000 drivers 25-34 years old, 25% said that they buckled up, whereas 1658 of 2400 drivers 45-64 years oldsaid that they did.(a) At the 5% significance level, do the data suggest that the population proportion of 45-64years old drivers who buckle up is greater than the population proportion of 25-34 yearsold drivers who buckle up?Step 1: Definition of variableP =P2 =Step 2: Find sample size, number of successes, and sample proportion from data.sample size: nsample size: n, =number of successes: x,number of successes: x,X,sample proportion: , :sample proportion: p,X, +X2 =sample pooled proportion: p,n +n,Step 3:Write the hypothesis statement.H, : P = P2H, : P P2 Step 4: Check the assumptions for two-proportion z-test. Use two-proportion z-test for thisproblem.(1) Are the two samples simple random samples?(2) Are the two samples indepedent samples?(3) Is x, > 5 ?Is x, > 5 ?Is (п, - х,)>5?Is (п, — х,) >5?Step 5: Find the rejection area, critical value(s), test statistic, and p-value. Draw thedistribution curve and label the rejection area, critical value(s), test statistic, and p-value on the curve. Use the z table for finding the critical value and p-value for z-test. You can also use the Excel function "norms.dist" for finding p-value for z-test.(P, – P.)Test statistic: TS = z =VP,(1- P,),11-+n,п,Critical value(s): CV =Rejection area: RA= a =p-value: pv =Step 6: Make a decision to reject Ho or not reject Ho based on both critical value and p-value.Do you reject Ho? (Answer: yes or no)Step 7: Draw a conclusion based on the decision in Step 6, i.e.Do the data suggest that the population proportion of 45-64 years old drivers whobuckleupisgreater than the population proportion of 25-34 years old drivers whobuckle up? (Answer: yes or no)

Name: 1. Response insurance collects data on seat-belt usage among U.S. dri
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: 1. Response insurance collects data on seat-belt usage among U.S. drivers. Of 2000 drivers 25-34 years old, 25% said that they buckled up, whereas 1658 of 2400 drivers 45-64 years oldsaid that they did.(a) At the 5% significance level, do the data s

When comparing two population proportions the proportion test is used. The test statistic formula…

Math

Statistics

1. Response insurance collects data on seat-belt usage among U.S. drivers. Of 2 34 years old, 25% said that they buckled up, whereas 1658 of 2400 drivers said that they did. (a) At the 5% significance level, do the data suggest that the population prop years old drivers who buckle up is greater than the population proportion old drivers who buckle up? Step 1: Definition of variable Pi = P2 = Step 2: Find sample size, number of successes, and sample proportion from sample size: n = %3D sample size: n, = %3D number of successes: x, = %3D number of successes: x, = %3D sample proportion: p, == %3D !! X2 sample proportion: ê2 !! X, +x2 sample pooled proportion: ê, %3D п +п, ||

1. Response insurance collects data on seat-belt usage among U.S. drivers. Of 2 34 years old, 25% said that they buckled up, whereas 1658 of 2400 drivers said that they did. (a) At the 5% significance level, do the data suggest that the population prop years old drivers who buckle up is greater than the population proportion old drivers who buckle up? Step 1: Definition of variable Pi = P2 = Step 2: Find sample size, number of successes, and sample proportion from sample size: n = %3D sample size: n, = %3D number of successes: x, = %3D number of successes: x, = %3D sample proportion: p, == %3D !! X2 sample proportion: ê2 !! X, +x2 sample pooled proportion: ê, %3D п +п, ||

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: In what research situation do you use an independent samples t-test?

Q: . A developmental psychologist is interested in studying how long babies gaze at a photograph of a…

A: Data given n=6, 10, 13, 16, 16, 20, 24

Q: Suppose 4 percent of the children in the US are thought to be near the juvenile diabetes threshold.…

Q: Past studies have indicated that the percentage of smokers is estimated to be about 33%. Given the…

Q: Because of safety considerations, in May 2003, the Federal Aviation Administration (FAA) changed its…

A: Given information: x¯summer=183x¯winter=190nsummer=100=nwinterssummer=21swinter=24 a)…

Q: Let µi =the true mean score for all students like these receiving the intervention and u2 = the true…

A: Box plot also known as box and whisker diagram is a standardized way of representing the data…

Q: You want to test whether the proportion of men who smoke is…

A: Given that Male Female Sample size (n1) = 200 Sample size (n2) = 200 Smoke (x1) = 62 Smoke…

Q: Could two samples have the same range but different means? Explain.

A: Yes, Two samples have the same range but different means.

Q: Does this statement make sense or not? our study measured the birth weights and incidents of…

A: Here we want to Know that the given statement make sense or not.

Q: The owner of Maumee Motors wants to study the relationship between the age of a car and its selling…

A: Given that

Q: researcher wants to study whether there is a relationship between type of music (pop or country) and…

A: Given that A researcher wants to study whether there is a relationship between type of music (pop…

Q: The digital marketing specialist would like to test the claim that the percent of customers who use…

A: Formula : Test statistic

Q: What statistical test should she use to analyze the data? a. Paired t-test b. One Way ANOVA c.…

A: Answer: Given that, The Superintendent of Schools wants to examine whether there are differences in…

Q: According to a Yankelovich poll, women spend an average of 19.1 hours shopping during the month of…

Q: Health insurance benefits vary by the size of the company (the Henry J. Kaiser Family Foundation…

A: a:For the given data, the chi-square test for association is appropriate.Null Hypothesis:H0: The…

Q: Is the mean level in the sample significantly different from the population mean? b. What…

A: Hypotheses can be constructed as: H0: µ=4.5 H1: µ≠4.5 Data collected from 5 college students is: 7,…

Q: For the study described below, identify the population parameter and the sample statistic. "As…

A: Given that As relationships, living arrangements and family life continue to evolve for American…

Q: If the sample size is n=16 what is likely true about the shape of the population?

A: Solution: Central limit theorem: The central limit theorem state that as the sample size increases…

Q: Which problem represents a T-Test on Differences? A: Comparing the mean scores on final exams from…

Q: In a study of three nationally representative large- scale data sets from Ireland, the United…

A: There are following types of variable. Explanatory variable: The independent variable is called…

Q: A marketing manager for a cell phone company claims that more than 35% of children aged 10-11 have…

A: Assume that p is the true proportion of all children aged 10-11 that have cell phones.

Q: The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest…

A: Define:Sample 1: The SAT math test scores for students whose parents are college graduates with a…

Q: What would be the effect of changing the value of SS2 to 200 if an ANOVA were used for the following…

A: Given data M1=12,M2=18,SS1=50,SS2=100.

Q: Why a sample size of n=100 is more likely to have a percentage of pop songs closer to the population…

A: Sample of size 32 or greater is consider as large sample .

Q: 2. Half of Oxnard College students are younger than 21 years old, and half of students are older…

A: Half of Oxnard College students are younger than 21 years old, and half of students are older than…

Q: 2. Paired Sample: A health educator wants to evaluate the effects of a dental film on the frequency…

Q: (a) State the null and alternate hypotheses. H: The proportions of crimes in the various categories…

A: To state the null and alternate hypothesis for the proportion of crimes in the various categories in…

Q: What is the likely media when the mean is 9 the sample variance is 7.31 and the skew is 1.04

A: Given data: mean =9 sample variance = 7.31 skew =1.04

Q: Identify the statistical test that should be used to analyze the data for the following study: Does…

A: From the given information GRE practice test scores were compared before and after 40 students had…

Q: What is the relationship between the mean of a population and the mean of its sampling distribution?

Q: The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest…

A: Introduction: Denote μ1, μ2 are the population mean SAT math scores of students whose parents are…

Q: The Bureau of Labor Statistics reports that the official unemployment rate for Black people was…

A: Variables are of different types. The correct classification of variables and the identification of…

Q: Twenty years ago, 56% of parents of children in high school felt it was a serious problem that high…

A: The hypothesized proportion is 0.56.

Q: Is there a significant difference in political ideology? (On this scale, 10 means "very…

A: Given data: Let X denotes the data regarding freshman. Number of freshman included in the sample,…

Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

100%

1. Response insurance collects data on seat-belt usage among U.S. drivers. Of 2000 drivers 25-
34 years old, 25% said that they buckled up, whereas 1658 of 2400 drivers 45-64 years old
said that they did.
(a) At the 5% significance level, do the data suggest that the population proportion of 45-64
years old drivers who buckle up is greater than the population proportion of 25-34 years
old drivers who buckle up?
Step 1: Definition of variable
P =
P2 =
Step 2: Find sample size, number of successes, and sample proportion from data.
sample size: n
sample size: n, =
number of successes: x,
number of successes: x,
X,
sample proportion: , :
sample proportion: p,
X, +X2 =
sample pooled proportion: p,
n +n,
Step 3:
Write the hypothesis statement.
H, : P = P2
H, : P P2

Step 4: Check the assumptions for two-proportion z-test. Use two-proportion z-test for this
problem.
(1) Are the two samples simple random samples?
(2) Are the two samples indepedent samples?
(3) Is x, > 5 ?
Is x, > 5 ?
Is (п, - х,)>5?
Is (п, — х,) >5?
Step 5: Find the rejection area, critical value(s), test statistic, and p-value. Draw the
distribution curve and label the rejection area, critical value(s), test statistic, and p-
value on the curve. Use the z table for finding the critical value and p-value for z-
test. You can also use the Excel function "norms.dist" for finding p-value for z-test.
(P, – P.)
Test statistic: TS = z =
VP,(1- P,),
1
1
-+
n,
п,
Critical value(s): CV =
Rejection area: RA= a =
p-value: pv =
Step 6: Make a decision to reject Ho or not reject Ho based on both critical value and p-
value.
Do you reject Ho? (Answer: yes or no)
Step 7: Draw a conclusion based on the decision in Step 6, i.e.
Do the data suggest that the population proportion of 45-64 years old drivers who
buckle
up
is
greater than the population proportion of 25-34 years old drivers who
buckle up? (Answer: yes or no)

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

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Centre, Spread, and Shape of a Distribution$

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

The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 52 records of automobile driver fatalities in a certain county showed that 35 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use ? = 0.10. What is the value of the sample test statistic? (Round your answer to two decimal places.)=__ (c)Find the P-value of the test statistic. (Round your answer to four decimal places.)=__
Cite a statistical experiment and its sample space.
Which of these experimental designs has the most statistical power (is more likely to show a true difference between 2 treatment conditions)? A. Between-Subjects B. Descriptive Study C. Correlational Study D. Within-Subjects
Past studies have indicated that the percentage of smokers was estimated to be about 34%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1783 people and found that 553 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced.
The sample mean and sample variance of Fire Jata valves are X = 104 and 5² = 16. If three of the data values are 102, 100, and 105, What are the other two Jaté Values?
As a Stock Analyst you compare the performance (measured as average increase in price from 20 may 2020 to 27 may 2020) of two sectors in the American stock exchange. You randomly choose 29 stocks from the finance sector and 29 stocks from the infrastructure and utility sector. This is an example of two dependent samples. INSTRUCTIONS TRUE or FALSE ?
According to the NIMH website the average number of adult Americans diagnosed with a “serious mental illness” across all 50 states in 2019 was μ = 5.2 out of 100 residents (or 5.2%). Please test to see if the sample of states listed below (n=8) has a significantly higher level of mental illness than the population mean of 5.2. Sample data: Arkansas= 5.45%, Montana=5.34%, Vermont=5.32%, Oregon=5.19%, Utah=5.2%, Ohio=5.13, Kentucky=5.25% West Virginia=5.18%. Hint - drop the % signs and use 5.45, 5.32, etc as the X scores. If you want you can use JASP for help with the calculations. Use 3 decimal places for the M, s, SEM. The alpha level for the study was set to α=.05. a. State the hypotheses of the study. b. Find the critical t value for this studyc. Compute the one-sample t test. d. Compute the Cohen's d for the data (even if not significant) e. State the results - is the sample significantly higher? Do you reject the null hypothesis? Report the t test results in APA format…
Suppose you computed r=-0.524 with 20 data points. Is r significant? Explain. 0.05 significance level. Your Answer:
1. What is the mean of a dataset?