2.The following passage is from a paper.Also significant was the proportion of males and their water consumption (8 oz. servings) compared to females (X2 = 8.136, P-value = 0.087). Males came closer to meeting recommended daily water intake (64 oz. or more) than females (29.8% vs. 20.9%).This statement was based on carrying out a chi-square test of homogeneity using data in a two-way table where rows corresponded to sex (male, female) and columns corresponded to number of servings of water consumed per day, with categories none, one, two to three, four to five, and six or more. A) What hypotheses did the researchers test? H0: Sex and number of servings of water consumed per day are not independent.Ha: Sex and number of servings of water consumed per day are independent. H0: The proportions falling into each of the water categories are the same for both sexes.Ha: The proportions falling into each of the water categories are not the same for both sexes. H0: The proportions falling into each of the water categories are not the same for both sexes.Ha: The proportions falling into each of the water categories are the same for both sexes. H0: Sex and number of servings of water consumed per day are independent.Ha: Sex and number of servings of water consumed per day are not independent. What is the number of degrees of freedom associated with the reported value of the X2 statistic? ____________.B) The researchers based their statement on a test with a significance level of 0.10. Would they have reached the same conclusion if a significance level of 0.05 had been used? Explain. A) The P-value for the test was 8.136, which is greater than the new significance level of 0.05. So, they would not have reached the same conclusion if a significance level of 0.05 had been used. B) The P-value for the test was 0.087, which is greater than the new significance level of 0.05. So, they would have reached the same conclusion if a significance level of 0.05 had been used. C) The P-value for the test was 0.087, which is greater than the new significance level of 0.05. So, they would not have reached the same conclusion if a significance level of 0.05 had been used. D) The P-value for the test was 8.136, which is greater than the new significance level of 0.05. So, they would have reached the same conclusion if a significance level of 0.05 had been used.

Answered: The following passage is from a paper.…

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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The following passage is from a paper.

Also significant was the proportion of males and their water consumption (8 oz. servings) compared to females

(X² = 8.136, P-value = 0.087).

Males came closer to meeting recommended daily water intake (64 oz. or more) than females (29.8% vs. 20.9%).

This statement was based on carrying out a chi-square test of homogeneity using data in a two-way table where rows corresponded to sex (male, female) and columns corresponded to number of servings of water consumed per day, with categories none, one, two to three, four to five, and six or more.

A) What hypotheses did the researchers test?

H₀: Sex and number of servings of water consumed per day are not independent.

H_a: Sex and number of servings of water consumed per day are independent.

H₀: The proportions falling into each of the water categories are the same for both sexes.
H_a: The proportions falling into each of the water categories are not the same for both sexes.

H₀: The proportions falling into each of the water categories are not the same for both sexes.
H_a: The proportions falling into each of the water categories are the same for both sexes.

H₀: Sex and number of servings of water consumed per day are independent.
H_a: Sex and number of servings of water consumed per day are not independent.

What is the number of degrees of freedom associated with the reported value of the

X² statistic? ____________.

B) The researchers based their statement on a test with a significance level of 0.10. Would they have reached the same conclusion if a significance level of 0.05 had been used? Explain.

A) The P-value for the test was 8.136, which is greater than the new significance level of 0.05. So, they would not have reached the same conclusion if a significance level of 0.05 had been used.

B) The P-value for the test was 0.087, which is greater than the new significance level of 0.05. So, they would have reached the same conclusion if a significance level of 0.05 had been used.

C) The P-value for the test was 0.087, which is greater than the new significance level of 0.05. So, they would not have reached the same conclusion if a significance level of 0.05 had been used.

D) The P-value for the test was 8.136, which is greater than the new significance level of 0.05. So, they would have reached the same conclusion if a significance level of 0.05 had been used.

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