Hypothesis Testing for the Proportion Parameter
1.) It is thought that the front cover and the nature of the first question on mail surveys influence the response rate. The article "The Impact of cover Design and First Question on Response Rates for a Mail Survey of Skydivers" (Leisure Science, 1991) tested this theory 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 207 104
Skydiver 213 109
Does thus data support the researchers' hypothesis? Test the relevant hypothesis using a = .1 by first calculating a p-value.
This solution provides a null and alternative hypothesis and conducts a z-test to decide whether or not to accept or reject the null hypothesis. All steps are shown with clear explanations.