**Hypothesis Test for a Population Proportion**You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.64. You use a significance level of \(\alpha = 0.002\).**Null Hypothesis ( \(H_0\) ):** \( p = 0.64 \)**Alternative Hypothesis ( \(H_1\) ):** \( p > 0.64 \)You obtain a sample of size \( n = 543 \) in which there are 368 successes.**Questions:**1. **What is the test statistic for this sample? (Report answer accurate to three decimal places.)** Test statistic = [ ]2. **What is the p-value for this sample? (Report answer accurate to four decimal places.)** p-value = [ ]**Determine the p-value:**- \( \bigcirc \) less than (or equal to) \(\alpha\) - \( \bigcirc \) greater than \(\alpha\)**Decision based on the test statistic:**- \( \bigcirc \) reject the null- \( \bigcirc \) accept the null- \( \bigcirc \) fail to reject the null**Final Conclusion:**- \( \bigcirc \) There is sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is more than 0.64.- \( \bigcirc \) There is not sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is more than 0.64.- \( \bigcirc \) The sample data support the claim that the proportion of voters who prefer Candidate A is more than 0.64.- \( \bigcirc \) There is not sufficient sample evidence to support the claim that the proportion of voters who prefer Candidate A is more than 0.64.

Answered: Image /qna-images/answer/d0933efb-7343-488d-b652-8bfc94533dae.jpg

Answered: You are conducting a study to see if…

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

Similar questions

What happens to measures of effect size such as r2 and Cohen's d as sample size increases? a. Doesn't influence the effect size. b. They tend to increase. c. They tend to decrease.
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.
The table below lists body temperatures obtained randomly selected subjects. The temperatures are categorized according to gender and whether the subject uses drug. Using a 0.05 significance level, test for an interaction between gender and usage of drug, test for an effect from gender, and test for an effect from usage of drug. What do you conclude? Use Drug Does Not Use Drug Male 98.4 97.4 96.8 98.2 98.4 97.4 97.4 98.0 Female 98.6 99.3 98.2 98.6 97.0 98.4 97.2 98.7
5. Use the data set 1. This is the result of a randomized trial in Uganda where 10 students in the same village were selected and given a solar-powered reading lamp. The second group was not given any lamp. The number of students out of 10 who improved their school grades for both groups were recorded. The experiment was repeated in 50 villages. Test the hypothesis that solar-powered reading lamps are effective in improving school grades in Uganda.
A Gallup poll to survey the top concerns of Americans was conducted. Suppose that 566 women and 465 men were independently and randomly selected and that 322 women and 172 men chose the state of the economy as their biggest concern. Can we conclude that the proportion of women ( p1 ), choosing the state of the economy as their biggest concern, exceeds the proportion of men ( p2 )? Use a significance level of α=0.1 for the test. Step 1 of 6 : State the null and alternative hypotheses for the test. Step 2 of 6 : Find the values of the two sample proportions, pˆ1p^1 and pˆ2p^2. Round your answers to three decimal places. Step 3 of 6 : Compute the weighted estimate of p, p‾p‾. Round your answer to three decimal places. Step 4 of 6 : Compute the value of the test statistic. Round your answer to two decimal places. Step 5 of 6 : Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of…
Answer j and k
A movie streaming company only holds on to a movie in its offerings if the movie has earned a 4.5 rating or above. Currently, there are seven movies being evaluated and the ratings for three of these seven are in the sample. We are interested in determining which ones will be kept in the company’s selection and which ones will be removed from the selection (testing at a 5% level of significance). Movie 1 Movie 2 Movie 3 4.6 5 4.6 4.9 4.5 4.8 4.6 5 4.9 4.1 5 4.6 5 3.8 4.3 5 3.6 4 5 2.6 4 3.5 1 4.9 4.1 5 4.6 5 3.2 4.9 5 5 4.7 5 5 3 3.2 5 4.6 3.9 3.8 4.6 5 2.6 4.6 4.3 3.4 4.9 4.1 4 4 5 1.4 4.6 4.2 2.7 4.9 5 3.4 4.5 4.9 3.9 4.5 5 5 4.6 5 3.3 4.6 2.9 4.6 5 5 3.4 4.4 4 1 3.7 3.9 4.5 4.9 4.7 3.7 4.5 4.7 4.6 4.5 3.8 3 4.9 4.4 4.8 4.6 4 3.7 4.9 5 3.1 3.7 5 5 4.7 4.5 2.4 3.4 4.7 4.7 3.7 4.4 5 4.8 4.5 5 4.6 2.8 5 4.3 5 4.2 4.6 2.3 5 4.5 5 4 4.6 4.9 2.5 4.6 3.2 1.9 4.6 4.8 5 5 3.7 3.9 3.4 5 5 4.9 4.9…
give an example of a study for which the independent sample t-test is appropiate
6. A clinical trial is conducted comparing a new pain reliever for arthritis to a placebo. Participants are randomly assigned to receive the new treatment or a placebo and the outcome is pain relief within 30 minutes. The data are shown in Table 7–54. Is there a significant difference in the proportions of patients reporting pain relief? Run the test at a 5% level of significance.
Primary seat belt laws allow police to stop a motorist for not wearing a seat belt. According to the National Highway Traffic Safety Administration, the percentage of drivers wearing seat belts in the Limpopo province was 68.5% in 2017 and 72% in 2018. Assume that these percentages are based on random samples of 1000 drivers in 2017 and 1050 in 2018. Suppose you must test at 5% level of significance whether the proportion of all drivers in Limpopo province who used seat belts in 2017 is lower than that for 2018. 1 Questions I) Determine the alternative hypothesis to be tested: II) Determine the value of test statistic: III) Determine the p-value for this problem: IV) the conclusion Since Z=-1.734 is greater than Z subscript 0.05 end subscript equals negative 1.645, we then reject the null hypothesis at 5% level of significance and conclude that the proportion of all drivers in Limpopo province who used seat belts in 2017 is lower than that for 2018. b) Since Z=-1.734 is less…
To test whether there is a difference in the quality of some ballpoint pens produced by Scribulus, Writine, and Fantapen, random samples from each brand were purchased and the following data were collected: Scribulus Writinc Fantapen number purchased failed to write 41 29 16 300 250 200 Use a 5% level of significance to test whether there is any difference in quality measured by the proportion of pens that failed to write.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.64. You use a significance level of a = 0.002. Ho:p = 0.64 H1:p > 0.64 You obtain a sample of size n = 543 in which there are 368 successes,