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.)

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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 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 "<"] α

e. 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
Transcribed Image Text: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 "<"] α e. 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
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