An avid birdwatcher wants to know if the number of goslings per goose in his lake differs from the regional average of 2.58. He takes a random sample of geese, conducts a hypothesis test of H0: μ = 2.58 vs.Ha: μ ≠ 2.58, and obtains a p-value of 0.013. (a) What should you expect of a 95% confidence interval constructed from his data? ---- The interval should contain 2.58 The interval should not contain 2.58 The interval should contain 0 The interval should not contain 0 We cannot say anything about the interval because ---- the p-value is not less than the corresponding alpha. the p-value is less than the corresponding alpha. we cannot make a conclusion about a confidence interval just from a hypothesis test. . (b) Given his sample size what 74, what critical value would the birdwatcher use to make the 95% confidence interval? (3 decimal places)(c) The birdwatcher's friend says his geese have an average of 3.88 goslings, and the birdwatcher wants to know if that would be a reasonable conclusion for his geese, as well. What could you predict about whether or not a 98% confidence interval built from this data would contain 3.88? The interval should contain 3.88 since the p-value is less than the corresponding alpha.The interval should not contain 3.88 since the p-value is less than the corresponding alpha. Without constructing the interval, we could not tell.The interval should contain 3.88 since the p-value is more than the corresponding alpha.The interval should not contain 3.88 since the p-value is more than the corresponding alpha.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An avid birdwatcher wants to know if the number of goslings per goose in his lake differs from the regional average of 2.58. He takes a random sample of geese, conducts a hypothesis test of

H₀: μ = 2.58 vs.
H_a: μ ≠ 2.58,

and obtains a p-value of 0.013.

(a) What should you expect of a 95% confidence interval constructed from his data?

---- The interval should contain 2.58 The interval should not contain 2.58 The interval should contain 0 The interval should not contain 0 We cannot say anything about the interval because ---- the p-value is not less than the corresponding alpha. the p-value is less than the corresponding alpha. we cannot make a conclusion about a confidence interval just from a hypothesis test. .

(b) Given his sample size what 74, what critical value would the birdwatcher use to make the 95% confidence interval? (3 decimal places)

(c) The birdwatcher's friend says his geese have an average of 3.88 goslings, and the birdwatcher wants to know if that would be a reasonable conclusion for his geese, as well. What could you predict about whether or not a 98% confidence interval built from this data would contain 3.88?

The interval should contain 3.88 since the p-value is less than the corresponding alpha.The interval should not contain 3.88 since the p-value is less than the corresponding alpha. Without constructing the interval, we could not tell.The interval should contain 3.88 since the p-value is more than the corresponding alpha.The interval should not contain 3.88 since the p-value is more than the corresponding alpha.

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