help ### Hypothesis Testing for Mean Purchase Potential RatingA 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, expensive television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating more potential to purchase the product. You want to know if the commercial increased the mean purchase potential rating. You will test the claim at a significance level of \( \alpha = 0.02 \).To do so, you find a sample of 35 people, you find the mean "after-before" rating to be \( \bar{d} = 0.5 \) with a standard deviation of the differences of \( s_d = 1.1 \).#### Questions:a. **What is the test statistic for this sample?**- **Answer format:** \( \text{test statistic} = \boxed{} \)- **Instructions:** Round to 4 decimal places.b. **What is the p-value for this sample?**- **Answer format:** \( \text{p-value} = \boxed{} \)- **Instructions:** Round to 4 decimal places.c. **The p-value is:** - **Checkbox options:** - \( \circ \) less than (or equal to) \( \alpha \) - \( \circ \) greater than \( \alpha \)d. **This test statistic leads to a decision to:**- **Checkbox options:** - \( \circ \) reject the null - \( \circ \) accept the null - \( \circ \) fail to reject the nulle. **As such, the final conclusion is that...**- **Open field for conclusion**

Name: help ### Hypothesis Testing for Mean Purchase Potential RatingA market
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: help ### Hypothesis Testing for Mean Purchase Potential RatingA 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, expensive television commercial about