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.

Read through this scenario and look at the data that was collected.  State the null and all possible research hypotheses.  Review the results below (I used SPSS) and answer the questions that follow. Scenario:  A researcher wants to see if gender and / or income affects the total amount of help given to a stranger who is sitting on the side of a busy road with a sign asking for help.  The independent variables are gender, income, and the interaction of gender and income.  The dependent variable is total help. He wants to know if one or both factors – or the interaction of the two - affects the total amount of help offered.  Because he is analyzing two independent variables (gender and income), he used a factorial ANOVA.  His results show the main effect of each of the independent variables on the dependent variable (total help) and the interaction effect.  The researcher is using a 95% confidence interval which means that he wants to be at least 95% sure that his independent variables…

The Economist collects data each year on the price of a Big Mac in various countries around the world. A sample of McDonald's restaurants in Europe in July 2016 resulted in the following Big Mac prices (after conversion to U.S. dollars). 4.47 3.14 2.44 3.95 4.37 4.52 4.20 3.69 4.65 3.80 3.38 3.83 The mean price of a Big Mac in the U.S. in July 2016 was $5.04. For purposes of this exercise, you can assume it is reasonable to regard the sample as representative of European McDonald's restaurants. Does the sample provide convincing evidence that the mean July 2016 price of a Big Mac in Europe is less than the reported U.S. price? Test the relevant hypotheses using α = 0.05. (Hint: See Example 12.12.) State the appropriate null and alternative hypotheses. H0: μ < 5.04 Ha: μ > 5.04 H0: μ = 5.04 Ha: μ < 5.04      H0: μ = 5.04 Ha: μ > 5.04 H0: μ > 5.04 Ha: μ < 5.04 H0: μ = 5.04 Ha: μ ≠ 5.04 Find the test statistic and P-value. (Use a table or technology.…

What is the summary of the overall model of the data shown in question 1? Is it one that you would trust from a statistical standpoint? specifically why ?