A philanthropic organization sent free mailing labels and greeting cards to a random sample of 100,000 potential donors on their mailing list and received 5196 donations. They have had a contribution rate of 5% in past campaigns, but a staff member hopes that the rate will be higher if they run this campaign as currently designed. Complete parts a through c below. Assume the independence assumption is met. a) What are the hypotheses? Which hypotheses below will test the staff member's hopes? OA. Ho: p*0.05 OB. Ho:p>0.05 06. Ho:p=0.05 HA: P=0.05 HA: P = 0.05 HA: P*0.05 OD. Ho: p<0.05 O E. Ho: p=0.05 OF. HA: P=0.05 Hop=0.05 HA: P<0.05 HA: P>0.05

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A philanthropic organization sent free mailing labels and greeting cards to a random sample of 100,000 potential donors on their mailing list and received 5196 donations. They have had a
contribution rate of 5% in past campaigns, but a staff member hopes that the rate will be higher if they run this campaign as currently designed. Complete parts a through c below. Assume
the independence assumption is met.
a) What are the hypotheses?
Which hypotheses below will test the staff member's hopes?
OA. Ho: p*0.05
HA: P=0.05
Ọ C. Ho:p=0.05
B. Ho:p>0.05
HA: P=0.05
HA: P 0.05
OD. Ho: p<0.05
HA: P = 0.05
E. Ho: p=0.05
HA: P >0.05
OF Hoip=0.05
HA: P<0.05
b) Are the assumptions and conditions for inference met?
Which assumptions and conditions below are met? Select all that apply.
A. The success/failure condition is met.
B. The 10% condition is met.
C. The randomization condition is met.
D. The independence assumption is met.
c) Do you think the donation rate would rise?
OA. The P-value is too high to conclude that the rate would be above the previous campaign contribution rate of 5%.
B. The P-value is high enough to conclude that the rate would be above the previous campaign contribution rate of 5%.
C. The P-value is low enough to conclude that the rate would be above the previous campaign contribution rate of 5%.
D. The P-value is too low to conclude that the rate would be above the previous campaign contribution rate of 5%.
E. Inference is not possible since the assumptions and conditions are not met.
Transcribed Image Text:A philanthropic organization sent free mailing labels and greeting cards to a random sample of 100,000 potential donors on their mailing list and received 5196 donations. They have had a contribution rate of 5% in past campaigns, but a staff member hopes that the rate will be higher if they run this campaign as currently designed. Complete parts a through c below. Assume the independence assumption is met. a) What are the hypotheses? Which hypotheses below will test the staff member's hopes? OA. Ho: p*0.05 HA: P=0.05 Ọ C. Ho:p=0.05 B. Ho:p>0.05 HA: P=0.05 HA: P 0.05 OD. Ho: p<0.05 HA: P = 0.05 E. Ho: p=0.05 HA: P >0.05 OF Hoip=0.05 HA: P<0.05 b) Are the assumptions and conditions for inference met? Which assumptions and conditions below are met? Select all that apply. A. The success/failure condition is met. B. The 10% condition is met. C. The randomization condition is met. D. The independence assumption is met. c) Do you think the donation rate would rise? OA. The P-value is too high to conclude that the rate would be above the previous campaign contribution rate of 5%. B. The P-value is high enough to conclude that the rate would be above the previous campaign contribution rate of 5%. C. The P-value is low enough to conclude that the rate would be above the previous campaign contribution rate of 5%. D. The P-value is too low to conclude that the rate would be above the previous campaign contribution rate of 5%. E. Inference is not possible since the assumptions and conditions are not met.
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