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 а Туре II error. (c) Using Excel, plot a graph of the power function.

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 а Туре II error. (c) Using Excel, plot a graph of the power function.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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