8. A surprising number of young adults (ages 19 to 25) still live in their parents home. A random sample by the National Institutes of Health included 2253 men and 2629 women in this age group. The survey found that 986 of the men and 923 of the women lived with their parents. Is this good evidence that different proportions of young men and young women live with their parents? How large is the difference between the proportions of young men and young women who live with their parents? Construct a 99% confidence interval for p1 – p2, the difference between the proportions of young men and young women who live with their parents. You do not need to verify conditions. Show all work. (10 points)
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For men: 986/2253 = 0.4376 (43.76%) For women: 923/2629 = 0.3511 (35.11%) Show more…
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Young adults living at home A surprising number of young adults (ages 19 to 25) still live in their parents’ homes. A random sample by the National Institutes of Health included 2253 men and 2629 women in this age group.$^{11}$ The survey found that 986 of the men and 923 of the women lived with their parents. (a) Construct and interpret a 99% confidence interval for the difference in population proportions (men minus women). (b) Does your interval from part (a) give convincing evidence of a difference between the population proportions? Explain.
Comparing Two Populations or Groups
Comparing Two Proportions
In a random sample of 870 men aged 25 to 35 years, 22% said they live with one or both parents. In another sample of 770 women of the same age group, 19% said that they live with one or both parents. Construct a 96% confidence interval for the difference between the proportions of all men and all women aged 25 to 35 years who live with one or both parents. Let p1 be the proportion of men that said they live with one or both parents and p2 be the proportion of women who said that they live with one or both parents. Round your answers to two decimal places. <p1-p2<.
Ajiboye T.
The permanent residence of adults aged 18-25 in the U.S. was examined in a survey from the year 2000. The survey revealed that 27% of these adults lived alone, 32% lived with a roommate(s), and 41% lived with their parents/guardians. In 2008, during an economic recession in the country, another such survey of 1500 people revealed that 378 lived alone, 452 lived with a roommate(s), and 670 lived with their parents. Is there a significant difference in where young adults lived in 2000 versus 2008? Test with a Goodness of Fit test at α=0.05. Enter the observed and expected counts for each category in the table below. Alone Roommates Parents/Guardians Observed Counts Expected Counts After running a Goodness of Fit test, can it be concluded that there is a significant difference in where young adults lived in 2000 versus 2008?
Jon S.
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