Question

A group of psychologists was interested in knowing whether living environment had any effect on a student's grade point average (GPA). They took a set of twins and randomly assigned one sibling of the twins to live in an urban area and the other to live in a rural area After one year, they computed the GPAs for the twins and looked at the differences. Then they calculated the test statistic, and the P-value was found to be between 0.20 and 0.25. With a 0.05 level of significance, we should ________ H0, and conclude that there is insufficient evidence to suggest that a difference exists between the mean GPAs of the two living environments.

Answer 1

Answer:

Accept H0

Explanation:

A group of psychologists was interested in knowing whether living environment had any effect on a student's grade point average (GPA). They took a set of twins and randomly assigned one sibling of the twins to live in an urban area and the other to live in a rural area After one year, they computed the GPAs for the twins and looked at the differences. Then they calculated the test statistic, and the P-value was found to be between 0.20 and 0.25. With a 0.05 level of significance, we should accept H0, and conclude that there is insufficient evidence to suggest that a difference exists between the mean GPAs of the two living environments.

A p value that is less than or equal to 0.05 suggest strong evidence against the null hypothesis, so you reject the null hypothesis. A p-value greater than 0.05 indicates weak evidence against the null hypothesis, so you accept the null hypothesis. In this study, the null hypothesis will be "living environment has no effect on a student's grade point average (GPA)", and since the p value obtained from the study is greater than 0.05, we accept the null hypothesis.