>>> Use 5 decimal places for intermediate calculations, and round your final answers to 3 decimal places. <<< Two random samples are taken, one from among first-year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifying the student Honor Code. A summary of the sample sizes and number of each group answering yes" are given below: First-Years (Pop. 1): n1 = 120, x₁ = 80 Fourth-Years (Pop. 2): n₂ = 100, x₂ = 70 Is there evidence, at an a = 0.01 level of significance, to conclude that there is a difference in proportions between first-years and fourth-years? Carry out an appropriate hypothesis test, filling in the information requested. (a) The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (-∞o, a) is expressed (-infty, a), an answer of the form (b, ∞o) is expressed (b, infty), and an answer of the form (-∞o, a) U (b, co) is expressed (-infty, a)U(b, infty). (b) The rejection region for the standardized test statistic: (c) The p-value is (d) Your decision for the hypothesis test: O A. Reject Ho. OB. Do Not Reject H₁. OC. Do Not Reject Ho. OD. Reject H₁.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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>>> Use 5 decimal places for intermediate calculations, and round your final answers to 3 decimal places. <<<
Two random samples are taken, one from among first-year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifying the student Honor Code. A summary of the sample sizes and number of each group answering yes"
are given below:
First-Years (Pop. 1): n₁ = 120, x₁ = 80
Fourth-Years (Pop. 2): ₂ = 100, x₂ = 70
Is there evidence, at an a = 0.01 level of significance, to conclude that there is a difference in proportions between first-years and fourth-years? Carry out an appropriate hypothesis test, filling in the information requested.
(a) The value of the standardized test statistic:
Note: For the next part, your answer should use interval notation. An answer of the form (-∞o, a) is expressed (-infty, a), an answer of the form (b, ∞o) is expressed (b, infty), and an answer of the form (-∞, a) U (b, ∞) is expressed (-infty, a)U(b, infty).
(b) The rejection region for the standardized test statistic:
(c) The p-value is
(d) Your decision for the hypothesis test:
O A. Reject Ho.
OB. Do Not Reject H₁.
OC. Do Not Reject Ho.
OD. Reject H₁.
Transcribed Image Text:>>> Use 5 decimal places for intermediate calculations, and round your final answers to 3 decimal places. <<< Two random samples are taken, one from among first-year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifying the student Honor Code. A summary of the sample sizes and number of each group answering yes" are given below: First-Years (Pop. 1): n₁ = 120, x₁ = 80 Fourth-Years (Pop. 2): ₂ = 100, x₂ = 70 Is there evidence, at an a = 0.01 level of significance, to conclude that there is a difference in proportions between first-years and fourth-years? Carry out an appropriate hypothesis test, filling in the information requested. (a) The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (-∞o, a) is expressed (-infty, a), an answer of the form (b, ∞o) is expressed (b, infty), and an answer of the form (-∞, a) U (b, ∞) is expressed (-infty, a)U(b, infty). (b) The rejection region for the standardized test statistic: (c) The p-value is (d) Your decision for the hypothesis test: O A. Reject Ho. OB. Do Not Reject H₁. OC. Do Not Reject Ho. OD. Reject H₁.
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