The University is considering changing the email system that

The University is considering changing the email system that they currently use. Since there are substantial learning costs associated with any new software, the University only wants to change to the new system if it is very confident that there is at least a 20% difference in the proportion of faculty and staff who say they like the new system. In a sample of 120 users of the current system, the University finds that 65 say they like the current system. In another sample of 90 experimental users of the “new” system, the University finds that 70 of them like the new system. When testing the hypothesis (using a 5% level of significance) that there is at least a 20% difference in the proportion of users who like the two systems, the p-value is .2943; what is your conclusion concerning the null hypothesis?

Solution

We reject the null hypothesis is P < significance level, and we do not reject it otherwise.

As here, P = 0.2943 > 0.05, then WE DO NOT REJECT THE NULL HYPOTHESIS. [ANSWER]