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A health policy economist interested in investigating the relationship between the cost of prescription drugs in Canada and the cost of prescription drugs in the

A health policy economist interested in investigating the relationship between the cost of prescription drugs in Canada and the cost of prescription drugs in the United States has information from a random sample of45 prescription drugs sold in both countries. For each of these drugs, the economist is examining two pieces of information: the average cost x (in Canadian dollars) of a one-month supply of the drug in Canada, and the average cost y (in U.S. dollars) of a one-month supply of the drug in the United States. Using computer software, the economist finds that, for the sample of drugs examined, the least-squares regression equation relating x and y is y=?0.61+ 0.72x. The economist also notices from the software that the standard error of the slope of the least-squares regression line is approximately 0.25.Test for a significant linear relationship between x and y by doing a hypothesis test regarding the population slope ?1. (Assume that the variable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the0.10 level of significance, and perform a two-tailed test. Then complete the parts below.

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(a) State the null hypothesis Ho and the alternative hypothesis H. p H Ho : H, : O=0 OSO (b) Determine the type of test statistic to use. (Choose one) 020 0*0 030 (c) Find the value of the test statistic. (Round to three or more decimal places.) X 3 ? (d) Find the p-value. (Round to three or more decimal places.) (e) Based on the data, can the economist conclude (using the 0.10 level) that there is a significant linear relationship between the average prescription drug cost in Canada and the average prescription drug cost in the United States? Yes ONo

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