Question

There was a certain class in which students had completed the work load assigned was very heavy. The instructor knew that the amount learned was directly related to that work load. The instructor surveyed 40 former students and asked if they would have been willing to actually learn less if that had meant less work. The instructor hoped that the ultimate goal of a student was to learn and so that less than 25 % of students would agree to learn less. The results of the survey showed 7 students would have been willing to actually learn less if that had meant less wor.

Is there sufficient evidence at the alpha = .05 level of significance to support the instructors hope and what do you conclude? What is the p-value of your test statistic.

Answer 1

The hypotheses are:

Ho: p=0.25

Ha: p<0.25

Rejection region:

at 0.05 level of significance the rejection region would be:

Reject Ho of Z < -Z _0.05 =1.65

Test Statistic :

P-value:

P-value at Z -=1.10 is calculated using Z table shown below as:

P-value=0.1357

Conclusion:

Since the P-value is greater than that of the significance level and Z>-Z _0.05 hence we fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim.

Z table: