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Based on a random sample, for males only, is there a difference between the first and the second systolic reading? To answer this statistical question, which statistical procedure should be/should not be used and why? 1) Respond and explain why. (The typical format for each answer is "yes/no, [reason why each works or does not work]") a) The hypothesis test to compare two proportions? Explain b) Chi-Square Test of Independence? Explain. c) Hypothesis test to compare two independent means? Explain. d) Hypothesis test for Paired Comparisons? Explain. e) ANOVA? Explain. 2) State the hypothesis for the test you have chosen

Question

Based on a random sample, for males only, is there a difference between the first and the second systolic reading?

To answer this statistical question, which statistical procedure should be/should not be used and why?

  1. Respond and explain why. (The typical format for each answer is "yes/no, [reason why each works or does not work]")

a) The hypothesis test to compare two proportions? Explain

b) Chi-Square Test of Independence? Explain.

c) Hypothesis test to compare two independent means? Explain.

d) Hypothesis test for Paired Comparisons? Explain.

e) ANOVA? Explain.

  1. State the hypothesis for the test you have chosen
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Solution

a) The hypothesis test to compare two proportions? No, this test is not appropriate because we are not comparing proportions or categorical data. We are comparing two continuous variables (first and second systolic readings).

b) Chi-Square Test of Independence? No, this test is not appropriate because it is used to determine if there is a significant association between two categorical variables. In this case, we are dealing with continuous data (systolic readings), not categorical.

c) Hypothesis test to compare two independent means? No, this test is not appropriate because the two systolic readings are not independent. They are taken from the same individual, so they are dependent.

d) Hypothesis test for Paired Comparisons? Yes, this test is appropriate because the two systolic readings are dependent (paired) as they are taken from the same individual. This test is designed to compare the means of two dependent groups.

e) ANOVA? No, this test is not appropriate because ANOVA is used to compare the means of three or more groups. In this case, we only have two groups (first and second systolic readings).

  1. The hypothesis for the test chosen (Hypothesis test for Paired Comparisons) would be:

Null Hypothesis (H0): There is no significant difference between the first and second systolic readings for males. Alternative Hypothesis (H1): There is a significant difference between the first and second systolic readings for males.

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