Assignment 1: Problem 2 (1 point) Is the number of American-born hockey players playing in the NHL on the rise? In the 2010-2011 season, 24% of all NHL players were born in the United States. A random sample of n = 115 NHL hockey players found that 31 were born in the United States. Does this sample suggest that the percentage of NHL hockey players that are American-born is increasing? (a) Choose the correct statistical hypotheses. O A. Ho p>0.24, OB. Ho p=0.24, O c. Ho p 0.24 HA: p>0.24 (b) Determine the value of the test statistic for this test, to at least two decimal places. Test Statistic = (c) Determine the P-value for this test. Use at least three decimal places. P=0 (d) Based on the above calculations, we should ? the null hypothesis. Use alpha = 0.05 Assignment 1: Problem 1 (1 point) The manufacturer of an over-the-counter pain reliever claims that its product brings pain relief to headache suffers in less than 3.5 minutes, on average. In order to be able to make this claim in its television advertisements, the manufacturer was required by a particular television network to present statistical evidence in support of the claim. The manufacturer reported that for a sample of 50 headache sufferers, the mean time to relief was 3.31 minutes and the standard deviation was 69.82 seconds. Does this data support the manufacturer's claim of less than 3.5 minutes? Set up the appropriate hypotheses test procedure. Test using alpha = 0.05. (a) Choose the correct statistical hypotheses. O A. Ho > 3.5minutes, B. Ho X=3.5minutes, Oc. HA < 3.5minutes HA: X 3.5minutes 3.5minutes c. Ho= 3.5minutes, HA OD. Ho = 3.5minutes HA < 3.5minutes O E. Ho: X= 3.5minutes, HA: X < 3.5minutes O X> F. Ho X 3.5minutes, HA X < 3.5minutes (b) Determine the value of the test statistic for this test, use at least two decimals in your answer. Test Statistic = (c) Determine the P-value for this test, to at least three decimal places. P (d) Based on the above calculations, we should ? the null hypothesis. Use alpha = 0.05