Politicians are interested in knowing the opinions of their constituents on important issues. One administrative assistant to a senator claims that more than 63% of adult women favor stricter gun laws. A recent telephone survey of 1026 adults by IBR Polls found that 65.9% of adult women favored stricter gun laws. Test the claim that significantly more than 63% of adult women favor stricter gun laws.

Question

What is the p-value? Enter the answer rounded to three (3) decimal places.

Answer 1

You can try a proportional one-sample z-test for this one since this problem is using proportions.

Null hypothesis:
Ho: p = .63 -->meaning: population proportion is equal to .63

Alternative hypothesis:
Ha: p > .63 -->meaning: population proportion is greater than .63 (this is a one-tailed test)

Using a formula for a proportional one-sample z-test with your data included, we have:
z = (.659 - .63)/√[(.63)(.37)/1026] --> .37 represents 1-.63 and 1026 is sample size.

Finish the calculation. To find the p-value for the test statistic, check a z-table. The p-value is the actual level of the test statistic.

Answer 2

Is it 3.165?