Every year Green Community College contacts its alumni asking for donations. In the past, alumni have always been contacted by phone. Last year, 60% of the alumni contacted contributed with a donation. This year, under the administration of the newly elected president Leonard, the university has decided to try a new method and plans to contact its alumni by e-mail. The university has decided to randomly contact half of its 7500 alumni by phone and the other half by e-mail. In a random sample of 200 alumni who were contacted by phone, 68% agreed to contribute with a donation. 1. To test if the donation rate has increased since last year for alumni contacted by phone, what will be the null hypothesis?
A. The proportion of 300 alumni who were contacted by phone and subsequently contributed a donation this year equals 0.6.
B. The proportion of 3500 alumni who were contacted by phone and subsequently contributed a donation this year is higher than 0.53.
C. The proportion of 3500 alumni who were contacted by phone and subsequently contributed a donation this year equals 0.53.
D. The proportion of 3500 alumni who were contacted by phone and subsequently contributed a donation this year equals 0.6.
E. The proportion of 300 alumni who were contacted by phone and subsequently contributed a donation this year is higher than 0.53.
F. The proportion of 300 alumni who were contacted by phone and subsequently contributed a donation this year equals 0.53.
2. For the test mentioned in the previous part, what is the alternative hypothesis?
A. The proportion of 3500 alumni who were contacted by phone and subsequently contributed a donation this year equals 0.53.
B. The proportion of 300 alumni who were contacted by phone and subsequently contributed a donation this year equals 0.53.
C. The proportion of 300 alumni who were contacted by phone and subsequently contributed a donation this year is higher than 0.53.
D. The proportion of 3500 alumni who were contacted by phone and subsequently contributed a donation this year is higher than 0.53.
E. The proportion of 300 alumni who were contacted by phone and subsequently contributed a donation this year equals 0.6.
F. The proportion of 3500 alumni who were contacted by phone and subsequently contributed a donation this year equals 0.6.
3. What is the approximate null model for the sample proportion of the alumni who were contacted by phone and contributed a donation?
A. N(0.53,0.6(1−0.6)300−−−−−−−√).
B. N(0.6,0.53(1−0.53)300−−−−−−−−√).
C. N(0.53,0.53(1−0.53)300−−−−−−−−√). D. N(0.6,0.6(1−0.6)300−−−−−−−√).
E. N(0.53,0.53(1−0.53)3500−−−−−−−−√).< br /> F. N(0.6,0.6(1−0.6)3500−−−−−−−√).
4. Compute the P-value.
5. What is an appropriate conclusion to the hypothesis test?
A. The donation rate for alumni contacted by phone this year is significantly higher than last year's at the 5% significance level.
B. The donation rate for alumni contacted by phone this year is not significantly higher than last year's at the 5% significance level.
C. The donation rate for alumni contacted by phone this year is the same as last year's.
D. Both (B) and (C).