Are job applicants with easy to pronounce last names less likely to get called for an interview than applicants with difficult to pronounce last names. 633 job applications were sent out with last names that are easy to pronounce and 868 identical job applications were sent out with names that were difficult to pronounce. 400 of the "applicants" with easy to pronounce names were called for an interview while 598 of the "applicants" with difficult to pronounce names were called for an interview. What can be concluded at the 0.05 level of significance?  For this study, we should use        The null and alternative hypotheses would be:        H0:H0:                (please enter a decimal)     H1:H1:                (Please enter a decimal) The test statistic     =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is     αα

Are job applicants with easy to pronounce last names less likely to get called for an interview than applicants with difficult to pronounce last names. 633 job applications were sent out with last names that are easy to pronounce and 868 identical job applications were sent out with names that were difficult to pronounce. 400 of the "applicants" with easy to pronounce names were called for an interview while 598 of the "applicants" with difficult to pronounce names were called for an interview. What can be concluded at the 0.05 level of significance?

 For this study, we should use       

1. The null and alternative hypotheses would be:   
  

 H0:H0:                (please enter a decimal)   

 H1:H1:                (Please enter a decimal)

1. The test statistic     =  (please show your answer to 3 decimal places.)
2. The p-value =  (Please show your answer to 4 decimal places.)
3. The p-value is     αα
4. Based on this, we should      the null hypothesis.
5. Thus, the final conclusion is that ...
   • The results are statistically insignificant at αα = 0.05, so there is insufficient evidence to conclude that applicants with easy to pronounce last names are less likely to get called for an interview compared to applicants with difficult to pronounce last names.
   • The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that the proportion of the 633 applicants with easy to pronounce names who got called for an interview is less than the proportion of the 868 applicants with difficult to pronounce names who got called for an interview.
   • The results are statistically significant at αα = 0.05, so there is sufficient evidence to conclude that among all possible applicants, people with easy to pronounce last names are less likely to get called for an interview compared to people with difficult to pronounce last names.
   • The results are statistically insignificant at αα = 0.05, so we can conclude that the population proportion of applicants with easy to pronounce names who get called for an interview is equal to the population proportion of applicants with difficult to pronounce names who get called for an interview.
6. Interpret the p-value in the context of the study.
   • If the sample proportion of applicants with easy to pronounce names who receive a callback is the same as the sample proportion of applicants with difficult to pronounce names who receive a callback and if another another 633 applications with easy to pronounce names and 868 applications with difficult to pronounce names are submitted then there would be a 1.04% chance of concluding that applicants with easy to pronounce names are at least 5.7% less likely to receive a callback than applicants with difficult to pronounce names
   • There is a 1.04% chance that applicants with easy to pronounce names are 5.7% less likely to receive a callback than applicants with difficult to pronounce names.
   • If the population proportion of callbacks for applicants with easy to pronounce last names is the same as the population proportion of callbacks for applicants with difficult to pronounce last names and if another 633 applications with easy to pronounce names and 868 applications with difficult to pronounce names are submitted then there would be a 1.04% chance that the percent of callbacks for the sample of applicants with easy to pronounce names would be at least 5.7% less than the percent of callbacks for the sample of applicants with difficult to pronounce names.
   • There is a 1.04% chance of a Type I error.
7. Interpret the level of significance in the context of the study.
   • If the population proportion of callbacks for applicants with easy to pronounce last names is the same as the population proportion of callbacks for applicants with difficult to pronounce last names and if another 633 applications with easy to pronounce names and 868 applications with difficult to pronounce names are submitted then there would be a 5% chance that we would end up falsely concuding that the population proportion of callbacks for applicants with easy to pronounce last names is less than the population proportion of callbacks for applicants with difficult to pronounce last names.
   • If the population proportion of callbacks for applicants with easy to pronounce last names is the same as the population proportion of callbacks for applicants with difficult to pronounce last names and if another 633 applications with easy to pronounce names and 868 applications with difficult to pronounce names are submitted then there would be a 5% chance that we would end up falsely concuding that the proportion of callbacks for the submitted applications with easy to pronounce last names is less than the proportion of callbacks for the submitted applications with difficult to pronounce last names.
   • There is a 5% chance that the manager's son will get the job, so it is pointless to apply no matter what your last name is.