Question

20% of all college students volunteer their time. Is the percentage of college students who are volunteers different for students receiving financial aid? Of the 363 randomly selected students who receive financial aid, 58 of them volunteered their time. What can be concluded at the α = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: H 0 : (please enter a decimal) H 1 : (Please enter a decimal) The test statistic = (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 the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 20% at α = 0.10, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is different from 20%. The data suggest the populaton proportion is significantly different from 20% at α = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is different from 20%. The data suggest the population proportion is not significantly different from 20% at α = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 20%.

Answer 1

Concluion:

The data suggest the populaton proportion is significantly different from 20% at α = 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is different from 20%.