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Statistics / Probability and Statistical Inference 9 / Chapter 8.3 / Problem 8.3-13

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

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Let pm and pf be the respective proportions of male and female white-crowned sparrows

Chapter 8, Problem 8.3-13

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QUESTION:

Let pm and pf be the respective proportions of male and female white-crowned sparrows that return to their hatching site. Give the endpoints for a 95% confidence interval for pm pf if 124 out of 894 males and 70 out of 700 females returned (The Condor, 1992, pp. 117133). Does your result agree with the conclusion of a test of H0: p1 = p2 against H1: p1 = p2 with = 0.05?

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QUESTION:

Let pm and pf be the respective proportions of male and female white-crowned sparrows that return to their hatching site. Give the endpoints for a 95% confidence interval for pm pf if 124 out of 894 males and 70 out of 700 females returned (The Condor, 1992, pp. 117133). Does your result agree with the conclusion of a test of H0: p1 = p2 against H1: p1 = p2 with = 0.05?

ANSWER:

Step 1 of 3

Given:

and are the respective proportions of male and female white-crowned sparrows that return to their hatching site.

The level of significance is 0.05.

124 out of 894 males and 70 out of 700 females white-crowned sparrows return to their hatching site.

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