Question

To test versus a simple random sample of size n=35 is obtained. Complete parts a through e below.

a. Define the null hypothesis.
b. Choose the significance level.
c. Perform the hypothesis test.
d. Interpret the p-value.
e. State the conclusion.

Answer 1

The null hypothesis states there is no significant difference between the two groups. The significance level is chosen to determine the threshold for rejecting the null hypothesis. The p-value is interpreted to determine the strength of evidence against the null hypothesis.

Step-by-step explanation:

A. The null hypothesis in this case can be that there is no significant difference between the two groups being tested.

B. The significance level, or alpha, needs to be chosen. A common choice is 0.05 (5%).

C. To perform the hypothesis test, the appropriate statistical test needs to be chosen based on the data and assumptions. Common tests include t-tests and chi-square tests.

D. The p-value is a measure of the strength of evidence against the null hypothesis. A small p-value indicates strong evidence against the null hypothesis.

E. The conclusion is based on the p-value and the significance level. If the p-value is less than the significance level, the null hypothesis is rejected, otherwise it is not rejected.