Reference no: EM132340599

Question

14% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 311 randomly selected students who receive financial aid, 34 of them volunteered their time. What can be concluded at the α= 0.10 level of significance?

a.) For this study should we use the z-test or t-test?

b.)The null and alternative hypotheses would be: 

H₀:____ ____ ____

H₁:____ ____ ____

c.)The test statistic____=_____show to three decimal places

d.) the p-value=_____show to 4 decimal places

e.)The p-value is ____ α

f.) Based on this, we should either reject, fail to reject or accept the null hypothesis

g.)Thus, the final conclusion is that ...

1.)The data suggest the population proportion is not significantly lower than 14% at α = 0.10, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 14%.

2.)The data suggest the populaton proportion is significantly lower than 14% at α= 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 14%.

3.)The data suggest the population proportion is not significantly lower than 14% at α= 0.10, so there is sufficient evidence to conclude that the percentage of financial aid recipients who volunteer is equal to 14%.