A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial improved the mean purchase potential rating. Use a = 0.05 and the following data to test the hypothesis and comment on the value of the commercial. What are the hypotheses? Ho: Md is-Select your answer - H₂: Hd is - Select your answer - Compute à (to 3 decimals). Compute 8 (to 1 decimal). What is the p-value? The p-value is - Select your answer - What is your decision? Select your answer - Individual 1 2 3 4 Purchase Rating Before 5 4 After 7 6 8 5 8 3 Individual 5 6 7 8 Purchase Rating Before 4 After 3 9 6 6 00 8 6 7

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial
about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that
the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial improved the mean
purchase potential rating. Use α = 0.05 and the following data to test the hypothesis and comment on the value of the commercial.
What are the hypotheses?
Ho: dis - Select your answer -
H₂: Hd is-Select your answer -
Compute a (to 3 decimals).
Compute & (to 1 decimal).
What is the p-value?
The p-value is - Select your answer -
What is your decision?
- Select your answer -
Individual
1
2
3
4
Purchase Rating
Before
5
4
After
7
6
8
5
8
3
Individual
5
6
7
8
Purchase Rating
Before
4
After
3
9
6
6
8
6
7
Transcribed Image Text:A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial improved the mean purchase potential rating. Use α = 0.05 and the following data to test the hypothesis and comment on the value of the commercial. What are the hypotheses? Ho: dis - Select your answer - H₂: Hd is-Select your answer - Compute a (to 3 decimals). Compute & (to 1 decimal). What is the p-value? The p-value is - Select your answer - What is your decision? - Select your answer - Individual 1 2 3 4 Purchase Rating Before 5 4 After 7 6 8 5 8 3 Individual 5 6 7 8 Purchase Rating Before 4 After 3 9 6 6 8 6 7
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