Question

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 366 randomly selected students who receive financial aid, 62 of them volunteered their time. What can be concluded at the α = 0.05 level of significance? For this study, we should use z-test for a population proportion The null and alternative hypotheses would be: H 0 : p = (please enter a decimal) H 1 : p > (Please enter a decimal) The test statistic z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is > α Based on this, we should Select an answer the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly higher than 15% at α = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 15%. The data suggest the population proportion is not significantly higher than 15% at α = 0.05, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is higher than 15%. The data suggest the population proportion is not significantly higher than 15% at α = 0.05, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 15%.

Answer 1