Marriage and status Would you marry a person from a lower social class than your own?

Chapter 10, Problem 20

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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.

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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.

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