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.IndividualPurchase RatingAfterBefore165264378443535698775867 a. State the null and alternative hypotheses. (Use ?d = mean rating after − mean rating before.)b. Calculate the value of the test statistic. (Round your answer to three decimal places.)c. Calculate the p-value. (Round your answer to four decimal places.) You may need to use the appropriate technology to answer this 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. Thepurchase 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 orequal 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 thehypothesis and comment on the value of the commercial.Individual12345678Purchase RatingAfter66743976Before54835857 State the null and alternative hypotheses. (Use μd = mean rating after mean rating before.)= 0Ho: Md=Ha: Md #0Ho: Md OHa: Md ≤ 0Ho: Md # 0Ha: MdHo: Md ≤0Ha Md= 0Ho: Md≤0Ha: Md 0XCalculate the value of the test statistic. (Round your answer to three decimal places.)0.704Calculate the p-value. (Round your answer to four decimal places.)p-value = 0.5042X

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 &#34;after&#34; would be less than or equal to the mean rating &#34;before.&#34; 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.IndividualPurchase RatingAfterBefore165264378443535698775867 a. State the null and alternative hypotheses. (Use ?d = mean rating after − mean rating before.)b. Calculate the value of the test statistic. (Round your answer to three decimal places.)c. Calculate the p-value. (Round your answer to four decimal places.) You may need to use the appropriate technology to answer this 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. Thepurchase 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 &#34;after&#34; would be less than orequal to the mean rating &#34;before.&#34; 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 thehypothesis and comment on the value of the commercial.Individual12345678Purchase RatingAfter66743976Before54835857 State the null and alternative hypotheses. (Use μd = mean rating after mean rating before.)= 0Ho: Md=Ha: Md #0Ho: Md > OHa: Md ≤ 0Ho: Md # 0Ha: MdHo: Md ≤0Ha Md= 0Ho: Md≤0Ha: Md > 0XCalculate the value of the test statistic. (Round your answer to three decimal places.)0.704Calculate the p-value. (Round your answer to four decimal places.)p-value = 0.5042X

Accepted Answer

Answered: Image /qna-images/answer/0a4a4a5b-3446-424c-accc-23816519a771.jpg

Individual	Purchase Rating
After	Before
1	6	5
2	6	4
3	7	8
4	4	3
5	3	5
6	9	8
7	7	5
8	6	7