It is thought that the front cover and the nature of the first question on mail surveys influence the response rate. This theory was tested by experimenting with different cover designs. One cover was plain; the other used a picture of a skydiver. The researchers speculated that the return rate would be lower for the plain cover.
Cover Number Sent Number Returned
Plain 208 97
Skydiver 212 112
Does this data support the researchers' hypothesis? Test the relevant hypotheses using α = .10 by first calculating a P-value. (Give z to 2 decimal places and the p-value to 4 decimal places.)
z = ???
P-value = ???
Conclusion
a) Reject the null hypothesis, there is significant evidence that the return rate is lower for the plain cover.
b) Reject the null hypothesis, there is not significant evidence that the return rate is lower for the plain cover.
c) Fail to reject the null hypothesis, there is not significant evidence that the return rate is lower for the plain cover.
d) Fail to reject the null hypothesis, there is significant evidence that the return rate is lower for the plain cover.