15% of all college students volunteer their time. Is the percentage of college students who are volunteers larger for students receiving financial aid? Of the 332 randomly selected students who receive financial aid, 53 of them volunteered their time. What can be concluded at the α= 0.05 level of significance?
The null and alternate hypothesis are:
The test statistic is given by:
Since this is a right-tailed test, so the p-value is given by:
Since p-value is greater than 0.05, so we do not have sufficient evidence to reject the null hypothesis H0.
Thus we cannot conclude that the percentage of college students who are volunteers is larger for students receiving financial aid.
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