PERFORMANCE TASKCite three (3) situations in your community where you can apply hypothesis testing. Then,just choose one situation and:1. create a problem statement;2. formulate the null and alternative hypothesis;3. select the level of significance and sketch the rejection region; and4. state the possible Type I and Type ll errors.

Hypothesis testing is a theory of great importance. It can be applied in the following scenarios:…

Answered: Cite three (3) situations in your…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Find the P -value for the indicated hypothesis test. A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 120 of the school's students, 30% of them plan to go into general practice. Find the P -value for a test of the school's claim.
In a(n) ________ test, the null hypothesis should be rejected when the test value is in either of the two critical regions. Explain.
A researchers claims 45% of couples have children. They conduct a hypothesis test and reject the null hypothesis. What type of error could have been committed here? Type 1, type 2, or power if the test?
A health foods shop owner is wondering if his customers' daily vitamin supplement habits are in the same proportion as the general population of adults. The shop owner heard in a news report that 60% of all adults reported that they took a daily vitamin. The shop owner believes that his customers have a greater proportion of adults who take a daily vitamin, so he decides to conduct a hypothesis test using the following null and alternative hypotheses: Ho: p selected customers and recorded that 45 of them use daily vitamin supplements. = 0.6 and Ha: p > 0.6. The shop owner collected data from 50 randomly (a) Compute the appropriate test statistic and find the p-value of the test and based on a 5% significance level. Write a conclusion about the null hypothesis by interpreting the p-value. Be sure to clearly state the decision regarding the null hypothesis.
2. Use the following scenario to conduct a hypothesis test. Then use that to answer questions a- g. You would like to determine if the use of a new teaching intervention helps to improve attention in 5- year-old boys. To test this hypothesis, you have separated 35 5-year-old boys into two groups, one with the intervention (treatment group) and the other given normal class time (the control group). You would like to test if the treatment group had longer attention times (in minutes) than the control group. (The significance level of the test is .05) The following are the data for the two groups: Control Group (Group 1) 7 11 6 6 8. 11 14 7 8. 2 Treatment Group (Group 2) 11 12 14 16 18 14 11 8 7 10 11 Answer the following questions to run the hypothesis test. You should use the notation and methods described in the course: a. What test should you run? b. What is the null hypothesis in sentences and symbols? c. What is the alternative hypothesis in sentences and symbols? d. What is the…
When conducting a hypothesis test, what would it mean if the researcher obtains a negative test statistic? The sample is too small. It’s very unlikely the results would have occurred just by chance alone. The sample statistic is smaller than the claimed population parameter. A mistake was made in terms of calculating the test statistic. The sample statistic is larger than the claimed population parameter.
According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? Test at the 5% level. (i) Which of the following statements correctly defines the null hypothesis HO? A. μ = 321 B. p < 0.23 C. p = 0.23 D. μ < 321 Enter letter corresponding to correct answer (ii) Which of the following statements correctly defines the alternative hypothesis HA? A. μ = 321 B. p < 0.23 C. p = 0.23 D. μ < 321 Enter letter corresponding to correct answer (iii) Enter the level of significance α used for this test: Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10 (iv) Determine pˆiv Determine p^ Enter…
Members of the Town of Colonie Golfers’ Loop frequently raise concerns to Mr. Lange, as its leader, about how the league is run. The most frequent concern raised is that the teams competing each week are not statistically even. In other words, members raise concerns that one or more teams have a statistical advantage over other teams. To evaluate the validity of these claims, Mr. Lange has decided to use a mix of statistical hypothesis tests discussed in this course to evaluate the teams from Outing #14 in calendar-year 2016 (2016, #14). One is the Equal Vari- ances F Test, one is Welch’s T Test, and the other is the 2-Sample T Test for Equal Means. In this particular outing, seven teams were competing for the win. A random sample of eight prior scores from each team member was collected, and the summary statistics are shown below (correct to three decimal places). team sample size sample mean sample variance 1 24 76.500 14.522 2 32 79.656 18.233…
Can you help me determine the test statistic, the P-value, and the conclusion for this hypothesis test?
High School Band - In most US high schools, students can play an instrument in three types of bands. A random sample of high school band students was taken and the results are summarized in the table below. Instrument type Band Woodwind Brass Percussion type Concert 31 25 8. Jazz 10 16 10 Marching 65 65 27 To assess whether there is a relationship between band type and instrument type, we want to conduct an appropriate hypothesis test. Choose the null and alternative hypothesis? 1. The categorical variables band type and instrument type are independent. Alternative hypothesis 2. The categorical variables band type and instrument type are not independent. Null hypothesis
Is the following a null or an alternative hypothesis? Iced coffee tastes better than hot coffee.

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