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Textbooks / Statistics / Statistics: Informed Decisions Using Data 5 / Chapter 15.3 / Problem 6

?In Problems 1–6, use the sign test to test the given alternative hypothesis at the = 0.05 level of significance. 6. The median is less than

Statistics: Informed Decisions Using Data | 5th Edition | ISBN: 9780134133539 | Authors: Michael Sullivan III ISBN: 9780134133539 240

Solution for problem 6 Chapter 15.3

Statistics: Informed Decisions Using Data | 5th Edition

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Statistics: Informed Decisions Using Data | 5th Edition | ISBN: 9780134133539 | Authors: Michael Sullivan III

Statistics: Informed Decisions Using Data | 5th Edition

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Problem 6

In Problems 1–6, use the sign test to test the given alternative hypothesis at the  = 0.05 level of significance.

6. The median is less than 15. The following data were obtained from a random sample:

Step-by-Step Solution:

Step 1 of 5) In Problems 1–6, use the sign test to test the given alternative hypothesis at the = 0.05 level of significance. Figure 13(a) shows the histogram of the 2000 sample proportions from column p-hat. Notice that the shape of the distribution is skewed left. The mean of the 2000 sample proportions is 0.76 and the standard deviation is 0.136. Notice that the mean of the sample proportions equals the population proportion. Figure 13(b) shows the histogram for 2000 sample proportions from samples of size n = 25. Notice that the histogram is slightly skewed left (although not as skewed as the histogram with n = 10). The mean of the 2000 sample proportions for a sample of size n = 25 is 0.76 and the standard deviation is 0.086. Figure 13(c) shows the histogram for 2000 sample proportions from samples of size n = 60. Notice that the histogram is approximately normal. The mean of the 2000 sample proportions is 0.76 and the standard deviation is 0.054. Notice the following points regarding the sampling distribution of the sample proportion: Shape:

Step 2 of 2

Chapter 15.3, Problem 6 is Solved
Textbook: Statistics: Informed Decisions Using Data
Edition: 5
Author: Michael Sullivan III
ISBN: 9780134133539

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