A recent Pew research study asked a large, random sample of teenagers questions about their lives and goals. This type of data allows comparing findings among different demographic groups. In this survey, out of 461 male U.S. teenagers who answered the question, 189 said that an important goal in life for them was having a lot of money. In the sample (n = 454) of female U.S. teenagers, 276 agreed that having a lot of money was an important goal for them as well. Provide a 95% confidence interval for the true proportion of U.S. teenagers, male and female, who hold having a lot of money as an important goal. Identify the correct confidence interval. Be sure you can calculate this on paper. 0.3871 < p < 0.4329 0.4079 < p < 0.4121 0.3651 < p < 0.4549

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ISBN:9781119256830
Author:Amos Gilat
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A recent Pew research study asked a large, random sample of teenagers questions about their lives
and goals. This type of data allows comparing findings among different demographic groups. In this
survey, out of 461 male U.S. teenagers who answered the question, 189 said that an important goal
in life for them was having a lot of money. In the sample (n = 454) of female U.S. teenagers, 276
agreed that having a lot of money was an important goal for them as well. Provide a 95% confidence
interval for the true proportion of U.S. teenagers, male and female, who hold having a lot of money
as an important goal.
Identify the correct confidence interval. Be sure you can calculate this on paper.
0.3871 < p < 0.4329
0.4079 p < 0.4121
0.3651 < p < 0.4549
Transcribed Image Text:A recent Pew research study asked a large, random sample of teenagers questions about their lives and goals. This type of data allows comparing findings among different demographic groups. In this survey, out of 461 male U.S. teenagers who answered the question, 189 said that an important goal in life for them was having a lot of money. In the sample (n = 454) of female U.S. teenagers, 276 agreed that having a lot of money was an important goal for them as well. Provide a 95% confidence interval for the true proportion of U.S. teenagers, male and female, who hold having a lot of money as an important goal. Identify the correct confidence interval. Be sure you can calculate this on paper. 0.3871 < p < 0.4329 0.4079 p < 0.4121 0.3651 < p < 0.4549
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