What kind of hypothesis test is appropriate to determine if the proportion of senior male students' height is significantly higher than that of senior female students?*1 pointTwo-tailed testPaired testIndependent testOne-tailed test
Question
What kind of hypothesis test is appropriate to determine if the proportion of senior male students' height is significantly higher than that of senior female students?*1 pointTwo-tailed testPaired testIndependent testOne-tailed test
Solution 1
The appropriate hypothesis test to determine if the proportion of senior male students' height is significantly higher than that of senior female students is an Independent test.
Here's why:
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The two groups (senior male students and senior female students) are independent of each other. The height of a male student does not affect the height of a female student and vice versa.
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We are comparing the means of two independent groups, which is the purpose of an independent (or unpaired) t-test.
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The direction of the test is not specified (we are not testing if the males are taller or shorter, just if they are different), so a two-tailed test would not be appropriate.
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A paired test would not be appropriate because the data sets (male and female students) are not paired. They are two distinct groups.
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A one-tailed test would be used if we were testing a specific direction (e.g., males are taller than females). However, the question is asking if the male students' height is significantly different (could be higher or lower), not specifically higher. Therefore, an independent test is the most appropriate.
Solution 2
The appropriate hypothesis test to determine if the proportion of senior male students' height is significantly higher than that of senior female students is an Independent test. This is because the two groups (male and female students) are independent of each other and you are comparing their means.
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