Question

Use this hypothesis test scenario for the next five problems.

According to 2017 US Census data, 23% of Kentucky adults have a bachelor's degree or higher. You suspect that percentage has decreased in recent years. You select a random sample of 900 Kentuckians, and 198 (22%) of them have a bachelor's degree. Conduct a hypothesis test at the =0.05 significance level to determine if the percent of Kentuckians with a college degree has decreased since 2017.

Identify the null and alternative hypotheses for this hypothesis test.

12-Calculate the z test statistic.

0.7242

-0.3344

-50.8187

-0.7129

13-Calculate the p-value.

0.82156

0.76115

0.23885

-0.21977

14-What is the decision for this hypothesis test?

We fail to reject the null hypothesis because the p-value is greater than 0.05

We fail to reject the null hypothesis because the p-value is less than 0.05

We reject the null hypothesis because the p-value is less than 0.05

We reject the null hypothesis because the p-value is greater than 0.05

15-State the conclusion of the hypothesis test in the context of the problem.

We do not have sufficient evidence to say that the percentage of adult Kentuckians with a college degree has decreased since 2017.

We can conclude that the percentage of adult Kentuckians with a college degree has increased since 2017.

We can conclude that the percentage of adult Kentuckians with a college degree has decreased since 2017.

We cannot tell whether the percentage of adult Kentuckians with a college degree has increased or decreased since 2017.