Question

Researchers in education are performing a study to see if listening to soothing music while taking a standardized math test increases the mean test score. The hypotheses are H 0 : mu=79 versus H a : mu>79 , and the p-value for the hypothesis test was 0.035.

At the 5 % significance level , what should the researchers conclude?


1. There is sufficient evidence to conclude that listening to soothing sounds increases the mean test score.


2. There is sufficient evidence to conclude that listening to soothing sounds decreases the mean test score.


3. There is insufficient evidence to conclude that listening to soothing sounds decreases the mean test score.

4. none of the above

Answer 1

1. There is sufficient evidence to conclude that listening to soothing sounds increases the mean test score.

Explanation:

A p - value less than 0.05 means that the test hypothesis is false or rejected.

In this question the test hypothesis is H 0 : mu=79 which is false as p-value is 0.035.

Whenever the p- value is less than the significance level H0 is rejected.

Hence the null hypothesis is rejected.

Therefore only choice 1 is correct.

There is sufficient evidence to conclude that listening to soothing sounds increases the mean test score.

There is sufficient evidence to support the claim.