It is thought that the front cover and the nature of the first question on mail surveys influence the response rate. An article 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 209 103 Skydiver 212 107 Does this data support the researchers' hypothesis? Test the relevant hypotheses using ? = 0.10 by first calculating a P-value. State the relevant hypotheses. (Use p1 for the plain cover and p2 for the skydiver cover.) H0: p1 − p2 = 0 Ha: p1 − p2 ≤ 0H0: p1 − p2 = 0 Ha: p1 − p2 ≠ 0 H0: p1 − p2 = 0 Ha: p1 − p2 > 0H0: p1 − p2 = 0 Ha: p1 − p2 < 0 Compute the test statistic value and find the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Reject H0. The data suggests that the front cover and nature of the first question on mail surveys does influence the response rate.Fail to reject H0. The data does not suggest that the front cover and nature of the first question on mail surveys influence the response rate. Fail to reject H0. The data suggests that the front cover and nature of the first question on mail surveys does influence the response rate.Reject H0. The data does not suggest that the front cover and nature of the first question on mail surveys influence the response rate.
It is thought that the front cover and the nature of the first question on mail surveys influence the response rate. An article 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 209 103 Skydiver 212 107 Does this data support the researchers' hypothesis? Test the relevant hypotheses using ? = 0.10 by first calculating a P-value. State the relevant hypotheses. (Use p1 for the plain cover and p2 for the skydiver cover.) H0: p1 − p2 = 0 Ha: p1 − p2 ≤ 0H0: p1 − p2 = 0 Ha: p1 − p2 ≠ 0 H0: p1 − p2 = 0 Ha: p1 − p2 > 0H0: p1 − p2 = 0 Ha: p1 − p2 < 0 Compute the test statistic value and find the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Reject H0. The data suggests that the front cover and nature of the first question on mail surveys does influence the response rate.Fail to reject H0. The data does not suggest that the front cover and nature of the first question on mail surveys influence the response rate. Fail to reject H0. The data suggests that the front cover and nature of the first question on mail surveys does influence the response rate.Reject H0. The data does not suggest that the front cover and nature of the first question on mail surveys influence the response rate.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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It is thought that the front cover and the nature of the first question on mail surveys influence the response rate. An article 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 | 209 | 103 |
| Skydiver | 212 | 107 |
Does this data support the researchers' hypothesis? Test the relevant hypotheses using ? = 0.10 by first calculating a P-value.
State the relevant hypotheses. (Use p1 for the plain cover and p2 for the skydiver cover.)
H0: p1 − p2 = 0
Ha: p1 − p2 ≤ 0H0: p1 − p2 = 0
Ha: p1 − p2 ≠ 0 H0: p1 − p2 = 0
Ha: p1 − p2 > 0H0: p1 − p2 = 0
Ha: p1 − p2 < 0
Ha: p1 − p2 ≤ 0H0: p1 − p2 = 0
Ha: p1 − p2 ≠ 0 H0: p1 − p2 = 0
Ha: p1 − p2 > 0H0: p1 − p2 = 0
Ha: p1 − p2 < 0
Compute the test statistic value and find the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
| z = | |
| P-value = |
State the conclusion in the problem context.
Reject H0. The data suggests that the front cover and nature of the first question on mail surveys does influence the response rate.Fail to reject H0. The data does not suggest that the front cover and nature of the first question on mail surveys influence the response rate. Fail to reject H0. The data suggests that the front cover and nature of the first question on mail surveys does influence the response rate.Reject H0. The data does not suggest that the front cover and nature of the first question on mail surveys influence the response rate.
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