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 ? = 0.05 and the following data to test the hypothesis and comment on the value of the commercial. Individual Purchase Rating After Before 1 6 5 2 6 5 3 7 8 4 4 3 5 3 6 6 9 8 7 7 5 8 6 6 State the null and alternative hypotheses. (Use ?d = mean rating after − mean rating before.) a) H0:?d ≤ 0 Ha:?d = 0 b) H0:?d ≤ 0 Ha:?d > 0 c) H0:?d ≠ 0 Ha:?d = 0 d) H0:?d = 0 Ha:?d ≠ 0 e) H0:?d > 0 Ha:?d ≤ 0 Calculate the value of the test statistic. (Round your answer to three decimal places.) answer: ______ Calculate the p-value. (Round your answer to four decimal places.) p-value = _______ State your conclusion. a) Do not reject H0. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. b) Reject H0. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. c) Do not Reject H0. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. d) Reject H0. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase.
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 ? = 0.05 and the following data to test the hypothesis and comment on the value of the commercial. Individual Purchase Rating After Before 1 6 5 2 6 5 3 7 8 4 4 3 5 3 6 6 9 8 7 7 5 8 6 6 State the null and alternative hypotheses. (Use ?d = mean rating after − mean rating before.) a) H0:?d ≤ 0 Ha:?d = 0 b) H0:?d ≤ 0 Ha:?d > 0 c) H0:?d ≠ 0 Ha:?d = 0 d) H0:?d = 0 Ha:?d ≠ 0 e) H0:?d > 0 Ha:?d ≤ 0 Calculate the value of the test statistic. (Round your answer to three decimal places.) answer: ______ Calculate the p-value. (Round your answer to four decimal places.) p-value = _______ State your conclusion. a) Do not reject H0. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. b) Reject H0. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. c) Do not Reject H0. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase. d) Reject H0. 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
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
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
? = 0.05
and the following data to test the hypothesis and comment on the value of the commercial.| Individual | Purchase Rating | |
|---|---|---|
| After | Before | |
| 1 | 6 | 5 |
| 2 | 6 | 5 |
| 3 | 7 | 8 |
| 4 | 4 | 3 |
| 5 | 3 | 6 |
| 6 | 9 | 8 |
| 7 | 7 | 5 |
| 8 | 6 | 6 |
State the null and alternative hypotheses. (Use ?d = mean rating after − mean rating before.)
a) H0:?d ≤ 0
Ha:?d = 0
b) H0:?d ≤ 0
Ha:?d > 0
c) H0:?d ≠ 0Ha:?d = 0
d) H0:?d = 0
Ha:?d ≠ 0
e) H0:?d > 0
Ha:?d ≤ 0
Calculate the value of the test statistic. (Round your answer to three decimal places.)
answer: ______
Calculate the p-value. (Round your answer to four decimal places.)
p-value = _______
State your conclusion.
a) Do not reject H0. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase.
b) Reject H0. There is insufficient evidence to conclude that seeing the commercial improves the mean potential to purchase.
c) Do not Reject H0. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase.
d) Reject H0. There is sufficient evidence to conclude that seeing the commercial improves the mean potential to purchase.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill