Question

Hypotheses were tested about the mean number of alcoholic drinks consumed by students at a liberal arts college. In a random sample of 75 students, the mean was 3.93 alcoholic drinks consumed in a week. StatCrunch output:H0:μ=4.73,Ha:μ=4.73. What is the conclusion?

a) Reject the null hypothesis.
b) Fail to reject the null hypothesis.
c) Accept the alternative hypothesis.
d) Insufficient information for a conclusion.

Answer 1

The correct conclusion is to reject the null hypothesis.

Step-by-step explanation:

To determine the correct conclusion, we need to compare the p-value to the significance level (alpha), which is 0.05 in this case. If the p-value is less than alpha, we reject the null hypothesis. If the p-value is greater than or equal to alpha, we fail to reject the null hypothesis. The provided output states that the null hypothesis is rejected, indicating that there is enough evidence to suggest that the mean number of alcoholic drinks consumed by students is not equal to 4.73. Therefore, the correct conclusion is option a) Reject the null hypothesis.