Question

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. 500 job applications were sent out with last names that are easy to pronounce and 500 identical job applications were sent out with names that were difficult to pronounce. 152 of the "applicants" with easy to pronounce names were called for an interview while 167 of the "applicants" with difficult to pronounce names were called for an interview. What can be concluded at the 0.01 level of significance?

H₀: P_{EasyToPronounce} = P_{DifficultToPronounce}

H₀: P_{EasyToPronounce} <, >, or not equal to P_{DifficultToPronounce?}

Test statistic: -0.91, 0.15, 0.03, or -1.02?

Which of these is the critical value(s)?: -1.96,1.96

-2.33

-2.33, 2.33

-1.645

p-Value (Round to three decimal places): 0.006, 0.532, 0.154, or 0.204?

Reject the null hypothesis or Fail to reject the null hypothesis?

Insufficient or sufficient data?

Answer 1

1)

H₀: P_{EasyToPronounce} = P_{DifficultToPronounce}

H_a: P_{EasyToPronounce} < P_{DifficultToPronounce}

test statistic z=-1.02

critical value -2.33

p value = 0.154

Fail to reject the null hypothesis

Insufficient t data