It is thought that the front cover and the nature of the first question on mail surveys influence the response rate. An article tes 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. Number Sent Number Returned 207 216 Cover Plain Skydiver 104 109 Does this data support the researchers' hypothesis? Test the relevant hypotheses using a = 0.10 by first calculating a P-value. USE SALT State the relevant hypotheses. (Use P₁ for the plain cover and p₂ for the skydiver cover.) Ho: P₁-P₂ = 0 Ha: P₁ P₂ ≤0
It is thought that the front cover and the nature of the first question on mail surveys influence the response rate. An article tes 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. Number Sent Number Returned 207 216 Cover Plain Skydiver 104 109 Does this data support the researchers' hypothesis? Test the relevant hypotheses using a = 0.10 by first calculating a P-value. USE SALT State the relevant hypotheses. (Use P₁ for the plain cover and p₂ for the skydiver cover.) Ho: P₁-P₂ = 0 Ha: P₁ P₂ ≤0
A First Course in Probability (10th Edition)
10th Edition
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Chapter1: Combinatorial Analysis
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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.
Number Sent Number Returned
207
216
Does this data support the researchers' hypothesis? Test the relevant hypotheses using a = 0.10 by first calculating a P-value.
O Ho: P₁
Ha: P₁
O Ho: P₁
Ha: P₁
State the relevant hypotheses. (Use P₁ for the plain cover and p₂ for the skydiver cover.)
O Ho: P₁
Ha: P₁
Ho: P₁
Ha: P₁
Cover
Plain
Skydiver
Z =
P-value =
USE SALT
-
P₂ = 0
P₂ ≤ 0
P₂ = 0
P₂ #0
104
109
P₂ = 0
P₂ > 0
P₂ = 0
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.)
State the conclusion in the problem context.
O Fail to reject Ho. The data suggests that the front cover and nature of the first question on mail surveys does influence the
response rate.
Reject Ho. The data suggests that the front cover and nature of the first question on mail surveys does influence the
response rate.
Reject Ho. The data does not suggest that the front cover and nature of the first question on mail surveys influence the
response rate.
O Fail to reject Ho. The data does not suggest that the front cover and nature of the first question on mail surveys influence
the response rate.
You may need to use the appropriate table in the Appendix of Tables to answer this question.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05306099-d17b-4786-a552-6aca0323abbc%2F4e9472c7-0d59-4984-8930-845a62cc68b9%2Fia0nf38_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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.
Number Sent Number Returned
207
216
Does this data support the researchers' hypothesis? Test the relevant hypotheses using a = 0.10 by first calculating a P-value.
O Ho: P₁
Ha: P₁
O Ho: P₁
Ha: P₁
State the relevant hypotheses. (Use P₁ for the plain cover and p₂ for the skydiver cover.)
O Ho: P₁
Ha: P₁
Ho: P₁
Ha: P₁
Cover
Plain
Skydiver
Z =
P-value =
USE SALT
-
P₂ = 0
P₂ ≤ 0
P₂ = 0
P₂ #0
104
109
P₂ = 0
P₂ > 0
P₂ = 0
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.)
State the conclusion in the problem context.
O Fail to reject Ho. The data suggests that the front cover and nature of the first question on mail surveys does influence the
response rate.
Reject Ho. The data suggests that the front cover and nature of the first question on mail surveys does influence the
response rate.
Reject Ho. The data does not suggest that the front cover and nature of the first question on mail surveys influence the
response rate.
O Fail to reject Ho. The data does not suggest that the front cover and nature of the first question on mail surveys influence
the response rate.
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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