(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%.

Normal Distribution Calculator Drag the orange flag left or right to change the Zscore. Alternatively, enter a Z-score into the textbox and click enter. Z-score: -l .000 In 4 2 1 U Z-score The area to the left of the 2 value is: 0.158? The area to the right of the 2 value is: 0.8413 0 True 0 False 512 out of 2,000 random samples have a sample proportion of 0.08 or lower. This is 25.6%. 0.00 005 410 015 020 025 0.30 Sample proportions 4/50 =0.08 Do the data suggest that the percentage of preterm births in the U.S. is lower than 12% this year? Yes, because only 8% are preterm this year which is lower than 12%. O Yes, because sample proportions of 0.08 or less are unusual given the population proportion is 0.12. O No, because sample proportions of 0.08 or less are not unusual if the proportion of preterm births in the population is 0.12. O No, because a 25.6% of the babies are preterm this year which is much higher than 12%.\f\f