Question
(1) With data from the 2009 National Health Interview Survey, the Centers for Disease Control estimated that 9.4% of U.S. children had asthma. Suppose that
(1) With data from the 2009 National Health Interview Survey, the Centers for Disease Control estimated that 9.4% of U.S. children had asthma. Suppose that 12% of a random sample of 500 U.S. poor children have asthma.
We used the estimate from the 2009 National Health Interview Survey to calculate a standard error of 0.013. The data allows the use of a normal model. So we can find an approximate 95% confidence interval for the percentage of all U.S. poor children who have asthma.
Which interval is the approximate 95% confidence interval?
Group of answer choices
0.094 to 0.146
0.107 to 0.133
0.026 to 0.214
(2) TheNational Sleep Foundationsponsors an annual poll. In a 2011 press release they stated "... 63% of Americans say their sleep needs are not being met during the week." Is the percentage higher for women? Suppose that we select a random sample of 50 women.
Suppose that 66% of our sample of 50 say their sleep needs are not being met during the week.
Note: The conditions are met for use of a normal model, since we expect about 32 of the sample (63% of 50) are not getting enough sleep and about 18 are. Both expected counts are greater than 10.
Find the Z-score and use the applet below to assess the evidence provided by the data. (The standard error is about 0.068.)
True or false:We can conclude that the percentage of American women whose sleep needs are not being met is greater than 63%.
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