A dean at a local college believes that a last name goes a long way and decides to conduct a study. They believe that job applicants with easy to pronounce last names are just as likely to get called for an interview as applicants with difficult to pronounce last names. 599 job applications were sent out with last names that are easy to pronounce and 815 identical job applications were sent out with names that were difficult to pronounce. 469 of the "applicants" with easy to pronounce names were called for an interview while 650 of the "applicants" with difficult to pronounce names were called for an interview. What can be concluded at the 0.01 level of significance?For this study, we should use [Select an answer]a. The null and alternative hypotheses would be:\[H_0: \quad \text{[Select an answer]} \quad \text{[Select an answer]} \quad \text{[Select an answer]}\]\[H_1: \quad \text{[Select an answer]} \quad \text{[Select an answer]} \quad \text{[Select an answer]}\]b. The test statistic = [ ] (please round your answer to 3 decimal places.)c. The p-value = [ ] (Please round your answer to 4 decimal places.)d. The p-value is [Select ">" or "<"] αe. Based on this, we should [Select an answer] the null hypothesis.f. Thus, the final conclusion is that ...- ( ) The results are statistically insignificant at α = 0.01, so there is insufficient evidence to conclude that among all possible applicants, there is a difference in the population proportion of callbacks for applicants with easy to pronounce last names and applicants with difficult to pronounce names.- ( ) The results are statistically insignificant at α = 0.01, so we can conclude that the population proportion of people with easy to pronounce names who get called for an interview is equal to the population proportion of people with difficult to pronounce names who get called for an interview.- ( ) The results are statistically significant at α = 0.01, so there is sufficient evidence to conclude that the proportion of the 599 applicants with easy to pronounce names who got called for an interview is not the same as the proportion of the 815 applicants with difficult to pronounce names who got called for an interview.- ( ) The results are

Name: A dean at a local college believes that a last name goes a long way a
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Description: A dean at a local college believes that a last name goes a long way and decides to conduct a study. They believe that job applicants with easy to pronounce last names are just as likely to get called for an interview as applicants with difficult to

Note : As per the guidelines, only first three sub-parts have been solved here. Given data: Number of sent out job applications with last name easy to pronounce, n1=599 Number of sent out job applications with last name difficult to pronounce, n2=815 Number of applications called for an interview with last name easy to pronounce, x1=469 Number of applications called for an interview with last name difficult to pronounce, x2=650 Level of significance, α=0.01 For this study, two sample proportion test is to be used. a. The researcher believed that the job applicants with easy to pronounce last names are just as likely to get called for an interview than applicants with difficult to pronounce last names. It helps to formulate the alternative hypothesis. The null and the alternative hypothesis would be: H0 : p1=p2H1 : p1>p2 b. The appropriate test statistic is: z=p^1-p^2p^1-p^1n1+1n2 Computing the required values: Estimate proportion for the sample of job applicants with easy to pronounce last names, p^1=x1n1=469599=0.783 Estimate proportion for the sample of job applicants with difficult to pronounce last names, p^2=x2n2=650815=0.7975 Overall proportion, p=x1+x2n1+n2=469+650599+815=11191414=0.7914 Substituting all the values: z=0.783-0.79750.79141-0.79141599+1815=-0.01450.0219=-0.6621 Therefore, the test statistic is z=-0.662. c. The p-value for the z-score of -0.662 for the right tailed test is 0.7460.

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A dean at a local college believes that a last name goes a long way and decides to conduct a study. They believe that job applicants with easy to pronounce last names are just as likely to get called for an interview than applicants with difficult to pronounce last names. 599 job applications were sent out with last names that are easy to pronounce and 815 identical job applications were sent out with names that were difficult to pronounce. 469 of the "applicants" with easy to pronounce names were called for an interview while 650 of the "applicants" with difficult to pronounce names were called for an interview. What can be concluded at the 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer Select an answer H1: Select an answer v Select an answer v Select an answer b. The test statistic ? v (please round your answer to 3 decimal places.) c. The p-value (Please round your answer to 4 decimal places.)

A dean at a local college believes that a last name goes a long way and decides to conduct a study. They believe that job applicants with easy to pronounce last names are just as likely to get called for an interview than applicants with difficult to pronounce last names. 599 job applications were sent out with last names that are easy to pronounce and 815 identical job applications were sent out with names that were difficult to pronounce. 469 of the "applicants" with easy to pronounce names were called for an interview while 650 of the "applicants" with difficult to pronounce names were called for an interview. What can be concluded at the 0.01 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v Select an answer Select an answer H1: Select an answer v Select an answer v Select an answer b. The test statistic ? v (please round your answer to 3 decimal places.) c. The p-value (Please round your answer to 4 decimal places.)

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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