A survey of students in a large undergraduate business statistic course was taken. One question on the survey asked whether students were users of a particular online social service. Responses were received by 568 students. Of the 293 males responding, 67 reported being users of the service compared with 70 of 275 females responding. Assume that the responding students are a random sample of Canadian undergraduate business students. Complete parts a through c below.

a) Is there evidence of a difference between males and females with respect to the proportion who are users of the online social service? Use the difference pFemale pMale and note that = 0.05. Write the appropriate null and alternative hypotheses. Choose the correct answer below.

a)H0 : pFemale pMale 0 vs. HA : pFemale pMale < 0

b)H0 : pFemale pMale = 0.03 vs. HA : pFemale pMale 0.03

c)H0 : pFemale pMale = 0 vs. HA : pFemale pMale 0

d)H0 : pFemale pMale = 0 vs. HA : pFemale pMale 0

Compute the test statistic.Rounded to two decimal places.

Find the P-value. Round to three decimal places

*Can you please explain how to find the p value using the t stat from the table and also from excel?

State your conclusion. Choose the correct answer below.

a)Do not reject the null hypothesis. There is strong evidence that the proportion who are users of the online social service was different for the two groups.

b)Do not reject the null hypothesis. There is not strong evidence that the proportion who are users of the online social service was different for the two groups.

c)Reject the null hypothesis. There is strong evidence that the proportion who are users of the online social service was different for the two groups.

d)Reject the null hypothesis. Both groups are statistically equally likely to have used the online social service.

Qb) Find a 95 % confidence interval for the difference in proportions. Use the difference pFemale pMale. The 95 % confidence interval is (,). (Type integers or decimals rounded to two decimal places as needed. Use ascending order.)

Qc) Is the assumption of randomness a sensible one here? If not, how might that change your conclusions, if at all?

a)No, because responding to the survey is voluntary and all the respondents were in the same course. One should be skeptical of the conclusion, but it would likely not be affected much by the departure from the randomness assumption.

b)Yes, because with 95 % confidence, there is no reason to believe that this sample would result in a different conclusion than any other sampling of Canadian undergraduate business students.

c)No, because responding to the survey is voluntary and all the respondents were in the same course. Since the sample is very large, there is no reason to question the conclusion even with the departure from the randomness assumption.

d)No, because responding to the survey is voluntary and all the respondents were in the same course. The conclusion should be discarded and a new sample taken.