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2. (Textbook problem 9, page 21) Forsman and Lindell (1993) studied swallowing performance of adders (snakes). Captive snakes were fed with dead field voles (rodents) of differing body masses and the number of successful swallowing attempts was recorded. Out of 67 runs resulting in swallowing attempts, 58 were successful and 9 failed. (A failure was easy to detect because the fur of a partly swallowed and regurgitated vole is slick and sticks to the anterior part of the body.) (a) Test the hypothesis that p = 0.6 against the alternative p > 0.6 using the large-sample approximation, at the a = 0.05 level of significance. Give your decision rule, test statistic value, and conclusion. (b) Find an approximate p-value. (c) Find an approximate 95% (Wald) confidence interval for p, and interpret your interval in the context of the problem.

2. (Textbook problem 9, page 21) Forsman and Lindell (1993) studied swallowing performance of adders (snakes). Captive snakes were fed with dead field voles (rodents) of differing body masses and the number of successful swallowing attempts was recorded. Out of 67 runs resulting in swallowing attempts, 58 were successful and 9 failed. (A failure was easy to detect because the fur of a partly swallowed and regurgitated vole is slick and sticks to the anterior part of the body.) (a) Test the hypothesis that p = 0.6 against the alternative p > 0.6 using the large-sample approximation, at the a = 0.05 level of significance. Give your decision rule, test statistic value, and conclusion. (b) Find an approximate p-value. (c) Find an approximate 95% (Wald) confidence interval for p, and interpret your interval in the context of the problem.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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2. (Textbook problem 9, page 21) Forsman and Lindell (1993) studied swallowing performance of adders (snakes). Captive snakes were fed with dead field voles (rodents) of differing body masses and the number of successful swallowing attempts was recorded. Out of 67 runs resulting in swallowing attempts, 58 were successful and 9 failed. (A failure was easy to detect because the fur of a partly swallowed and regurgitated vole is slick and sticks to the anterior part of the body.) (a) Test the hypothesis that p = 0.6 against the alternative p > 0.6 using the large-sample approximation, at the a = = 0.05 level of significance. Give your decision rule, test statistic value, and conclusion. (b) Find an approximate p-value. (c) Find an approximate 95% (Wald) confidence interval for p, and interpret your interval in the context of the problem.
Transcribed Image Text:2. (Textbook problem 9, page 21) Forsman and Lindell (1993) studied swallowing performance of adders (snakes). Captive snakes were fed with dead field voles (rodents) of differing body masses and the number of successful swallowing attempts was recorded. Out of 67 runs resulting in swallowing attempts, 58 were successful and 9 failed. (A failure was easy to detect because the fur of a partly swallowed and regurgitated vole is slick and sticks to the anterior part of the body.) (a) Test the hypothesis that p = 0.6 against the alternative p > 0.6 using the large-sample approximation, at the a = = 0.05 level of significance. Give your decision rule, test statistic value, and conclusion. (b) Find an approximate p-value. (c) Find an approximate 95% (Wald) confidence interval for p, and interpret your interval in the context of the problem.
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