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. Purchase Rating Individual After Before 6 3 4 4 3 6. 5 6 State the null and alternative hypotheses. (Use - mean rating after - mean rating before.) O Hi s0 O Hgi H0 O Hg: H -0 O Moi Hg > 0 Calculate the value of the test statistic. (Round your answer to three decimal places.) 1.982 Calculate the p-value. (Round your answer to four decimal places.) p-value - 0.357 State your conclusion. • Do not reject Hg- There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. O Reject Hg. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. O Do not Reject Hg. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. O Reject Hg. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase.
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. Purchase Rating Individual After Before 6 3 4 4 3 6. 5 6 State the null and alternative hypotheses. (Use - mean rating after - mean rating before.) O Hi s0 O Hgi H0 O Hg: H -0 O Moi Hg > 0 Calculate the value of the test statistic. (Round your answer to three decimal places.) 1.982 Calculate the p-value. (Round your answer to four decimal places.) p-value - 0.357 State your conclusion. • Do not reject Hg- There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. O Reject Hg. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. O Do not Reject Hg. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. O Reject Hg. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 8SGR
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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 a = 0.05 and the following data to test the hypothesis and comment on the value of the commercial.
Purchase Rating
Individual
After
Before
1
6
5
6
4
7
8
4
3
5
7
6
9.
8
7
7
5
8
6
State the null and alternative hypotheses. (Use u, = mean rating after - mean rating before.)
H: H = 0
H: = 0
O Ho: H = 0
H: Hg > 0
Calculate the value of the test statistic. (Round your answer to three decimal places.)
1.982
Calculate the p-value. (Round your answer to four decimal places.)
p-value = 0.357
State your conclusion.
O Do not reject Ho. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase.
O Reject Hn. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase.
O Do not Reject Hn. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase.
O Reject H,. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase.
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