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The National Longitudinal Study of Adolescent Health interviewed a random sample of 4877teens (grades 7to 12). One question asked, 鈥淲hat do you think are the chances you will be married in the next 10years?鈥 Here is a two-way table of the responses by gender:

Which of the following is the appropriate null hypothesis for performing a chi-square test?

a. Equal proportions of female and male teenagers are almost certain they will be married in 10years.

b. There is no difference between the distributions of female and male teenagers鈥 opinions about marriage in this sample.

c. There is no difference between the distributions of female and male teenagers鈥 opinions about marriage in the population.

d. There is no association between gender and opinion about marriage in the sample.

e. There is no association between gender and opinion about marriage in the population.

Short Answer

Expert verified
Option (e)Ho: There is no correlation between gender and population opinion on marriage.
Ha: In the population, there is a link between gender and attitudes toward marriage.

Step by step solution

01

Given information

We have to determine the state the null and alternative hypotheses.

02

Simplification

The null and alternative hypotheses:

鈥冣赌H0: There is no correlation between gender and population opinion on marriage.

鈥冣赌Ha: In the population, there is a link between gender and attitudes toward marriage.

Hence, option e is correct.

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