Based on a random sample, does the systolic measurement differ between those whose marital status is single and those are not? To answer this statistical question, which statistical procedure should be/should not be used and why? Respond and explain why. (The typical format for each answer is "yes/no, [reason why each works or does not work]") The hypothesis test to compare two proportions? Explain Chi-Square Test of Independence? Explain. Hypothesis test to compare two independent means? Explain. Hypothesis test for Paired Comparisons? Explain. ANOVA? Explain.
Question
Based on a random sample, does the systolic measurement differ between those whose marital status is single and those are not?
To answer this statistical question, which statistical procedure should be/should not be used and why?
Respond and explain why. (The typical format for each answer is "yes/no, [reason why each works or does not work]")
The hypothesis test to compare two proportions? Explain Chi-Square Test of Independence? Explain. Hypothesis test to compare two independent means? Explain. Hypothesis test for Paired Comparisons? Explain. ANOVA? Explain.
Solution
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The hypothesis test to compare two proportions? No, this test is not appropriate because we are not comparing proportions or percentages, but rather a continuous variable (systolic measurement) between two groups (single and not single).
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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 have one categorical variable (marital status) and one continuous variable (systolic measurement).
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Hypothesis test to compare two independent means? Yes, this test is appropriate because we are comparing the means of a continuous variable (systolic measurement) between two independent groups (single and not single). This test will allow us to determine if there is a significant difference in the systolic measurements between the two groups.
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Hypothesis test for Paired Comparisons? No, this test is not appropriate because our two groups (single and not single) are independent, not paired or matched in any way.
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ANOVA? No, this test is not appropriate because ANOVA is used when comparing the means of a continuous variable across three or more independent groups. In this case, we only have two groups (single and not single).
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