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.
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.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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.
Ha: μ ≠ 2.58,
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?
(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 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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