= 7. In a city, a radio programme hosted by Tao has long been very popular. Tao has just retired and gone to London, and

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7 In A City A Radio Programme Hosted By Tao Has Long Been Very Popular Tao Has Just Retired And Gone To London And 1 (178.29 KiB) Viewed 24 times

= 7. In a city, a radio programme hosted by Tao has long been very popular. Tao has just retired and gone to London, and Wing will be the new host of the programme. Let p be the proportion of residents in the city who are regular listeners. It is known that p=0.5 before Tao retired. A market analyst is planning to conduct a test to examine if p will be changed one month after Wing has become the new host. The analyst will conduct the test by interviewing a random sample of 100 residents. Let X be the number of regular listeners of the programme. The analyst will reject the null hypothesis if X is smaller than 41 or greater than 59. (a) Calculate the size of the test. (b) Suppose that the true value of p is 0.38. Calculate the probability of committing a Type II error. (c) Using Excel, plot a graph of the power function.