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Let Y be b(100, p). To test H0: p = 0.08 against H1: p <

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 1E Chapter 8.3

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 1E

PROBLEM 1E

Let Y be b(100, p). To test H0: p = 0.08 against H1: p < 0.08, we rejectH0 and acceptH1 if and only if Y ≤ 6.

(a) Determine the significance level α of the test.

(b) Find the probability of the Type II error if, in fact, p = 0.04.

Step-by-Step Solution:
Step 1 of 3

POWERPOINT 7 ● distribution of sample means = the total number of sample means that are obtained for all of the possible random samples of a particular size (n) from a population ● we are examining the spread of our sample means ● statistics (values associated with a sample) have sampling variability associated with them ● sampling distribution = distribution of statistics obtained by selecting all the possible samples of a specific size from a population ● sample means pile up around the population mean ● sample means tend to form a normal distribution ● the larger the sample size, the closer the sample means will be to the population means ● it is virtually impossible to

Step 2 of 3

Chapter 8.3, Problem 1E is Solved
Step 3 of 3

Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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Let Y be b(100, p). To test H0: p = 0.08 against H1: p <