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# Answer: Refer to the indicated data set in Appendix B and ISBN: 9780321836960 18

## Solution for problem 20BSC Chapter 13.2

Elementary Statistics | 12th Edition

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Problem 20BSC

Refer to the indicated data set in Appendix B and use the sign test for the claim about the median of a population. Ages of Best Actresses Refer to Data Set 11in Appendix B for the ages of actresses at the time that they won Oscars in the category of Best Actress. Use a 0.05 significance level to test the claim that the median age of Oscar-winning actresses is equal to 30 years.

Step-by-Step Solution:

Solution 20BSC Step 1 Given, Ages of Best Actresses Refer to Data Set 11in Appendix B for the ages of actresses at the time that they won Oscars in the category of Best Actress. By using = 0.05 level of significance to test the claim that the median age of Oscar-winning actresses is equal to 30 years. The Hypotheses can be expressed as H0 Median is equal to 30 years H1 Median is not equal to 30 years. Step 2 Let us denote negative sign (-) for ages of actresses less than 30 years and positive sign (+) for ages of actresses more than 30 years, we have 27 negative signs and 52 positive signs and 3 equal values from the dataset-11 in Appendix B. Now, Positive signs = 52 Negative signs = 27 Number of ties = 3 Now, the Test Statistic is the less frequent sign i.e., negative sign = 27 Therefore, x = 27 is the required value of test statistic. Hence for sign test the required sample size used is 79 i.e., n = 52 + 27 = 79 which is greater than 25 (n 25).

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##### ISBN: 9780321836960

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