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Marriage and status Would you marry a person from a lower social class than your own?
Chapter 10, Problem 20(choose chapter or problem)
Marriage and status “Would you marry a person from a lower social class than your own?” Researchers asked this question of a random sample of 385 black, never-married college students. Of the 149 men in the sample, 91 said “Yes.” Among the 236 women, 117 said “Yes.” Did a significantly higher proportion of the men than the women who were surveyed say “Yes”? Give appropriate evidence to justify your answer.
Questions & Answers
QUESTION:
Marriage and status “Would you marry a person from a lower social class than your own?” Researchers asked this question of a random sample of 385 black, never-married college students. Of the 149 men in the sample, 91 said “Yes.” Among the 236 women, 117 said “Yes.” Did a significantly higher proportion of the men than the women who were surveyed say “Yes”? Give appropriate evidence to justify your answer.
ANSWER:Step 1 of 3
Given:
There are 3 conditions to be able to determine a two-sample z-interval for the difference in proportions: Random, and Large counts.
Random: Satisfied, since the two samples are separate (independent) randomly selected samples.
10%: Satisfied, since the sample of 149 never-married male college students is less than of all never-married male college students and the sample of 53 never-married female college students is less than of all nevermarried female college students.
Large counts: Satisfied, because , and .
We then note that all three conditions are satisfied.