Author Question: The college daily reported: 450 students living in university housing were polled. 270 said that ... (Read 54 times)

bobypop · **on:** Jul 25, 2018

The college daily reported: 450 students living in university housing were polled. 270 said that they were satisfied with their living conditions. Based on this survey we conclude that 60 of students living in dormitories are satisfied.

The margin of error of the study is 5 percentage points (with a 95 degree of confidence). Which statement is correct?
A) The margin of error is consistent with the sample size.
B) A larger sample should be used to achieve the stated margin of error.
C) There is not enough information to determine whether the margin of error is consistent with the sample size.
D) The stated margin of error could have been achieved with a smaller sample size.

Question 2

A researcher finds that of 1000 people who regularly attend a religious service, 31 would stop to help a person with car trouble.

Of 1200 people interviewed who do not regularly attend a religious service, 22 would stop to help a person with car trouble. At the 0.05 significance level, do the data provide sufficient evidence to conclude that those who regularly attend a religious service are more likely to stop and help a person with car trouble?

ynlevi · **Reply #1 on:** Jul 25, 2018

Answer to Question 1

D

Answer to Question 2

H0: p1 = p2, Ha: p1 p2.
= 0.05
Test statistic: z = 1.93. P-value = 0.0536
Do not reject the null hypothesis. At the 5 significance level, the data do not provide sufficient evidence to conclude that those who regularly attend a religious service are more likely to stop and help a person with car trouble.