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Do you think the donation rate would drop​?

Do you think the donation rate would drop​?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 4821 donations. They have had a contribution rate of 5​% in past​ campaigns, but a staff member worries that the rate will be lower if they run this campaign as currently designed. Complete parts 1 through 3 below. Assume the independence assumption is met.

​1) What are the​ hypotheses?
 
Which hypotheses below will test the staff​ member's
worries​?
 
 
A. H0​: p=0.05 HA​: p≠0.05
 
B. H0​: p=0.05 HA​: p>0.05
 
C. H0​: p=0.05 HA​: p<0.05
 
D. H0​: p≠0.05 HA​: p=0.05
 
E. H0​: p>0.05 HA​: p=0.05
 
F. H0​: p<0.05 HA​: p=0.05
 
​2) 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.
 
​3) Do you think the donation rate would
drop​?
 
 
A. The​ P-value is low enough to conclude that the rate would be below the previous campaign contribution rate of
5​%.
 
B. The​ P-value is too low to conclude that the rate would be below the previous campaign contribution rate of 5​%.
 
C.
The​ P-value is too highto conclude that the rate would be below the previous campaign contribution rate of 5​%.
 
D.
The​ P-value is high enough to conclude that the rate would be belowthe previous campaign contribution rate of 5​%.
 
E.
Inference is not possible since the assumptions and conditions are not met.

 
 
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