Question

A poll of a random sample of 2530 people found that 70​% said that religion is at least​ "somewhat important" in their lives. The screen shot to the right shows how a calculator reports the results of a significance test for which the alternative hypothesis is that a majority of people believe religion is at least​ "somewhat important" in their lives. State and interpret the five steps of a significance test in this​ context, using information shown in the screenshot to provide the particular values for the​ hypothesis, test​ statistic, and​ P-value.

Given data-

1-PropZTest prop > 0.50

z=20.12 , p=2.68e-90 , p^=0.70 , n=2530

a) is the response a categorical​ variable, with a defined population​ proportion?

b) Is n large enough to expect at least 15 successes and 15​ failures?

c) State the null hypothesis.

d) State the alternative hypothesis.

e) The sample proporiton p^ for n=2530 is 0.70, find the test statistic z= ____.

f) what is the P-value?

Answer 1