To explore the relationship between the runtime and profit made by movies, data were collected on a random sample of 15 movies released in the last four years. The p-value corresponding to the two-sided test for the slope turned out to be 0.06.

a. Based on the p-value, is it okay to conclude that “there is evidence that there is no association between runtime and profit made by movies”? How are you deciding?
b. Suppose that you were to create a 90% confidence interval for the population slope using the data from this study. Would this confidence interval contain 0? How are you deciding?
c. How, if at all, would the p-value change if you wanted to test whether there is a positive association between runtime and profit made by movies? Explain.