Problem 5. Health care(23 marks)

In a random survey of 500 doctors that practice specialized medicine, 20% felt that health care should be privatized in Canada. In a random sample of 800 family physicians, 30% felt that the health care should be privatized in Canada. Is there any difference in the two proportions?Use = 0.10.

Are the conditions met for using a z test to test this claim? [3 marks]

Use the four-step P-value approach and test the claim described here. [10 marks]

Using the critical value approach, test the hypothesis for the claim described here. Include all key steps of the test of hypothesis. [10 marks]