In a 2005 telephone survey conducted by CBS News, a sample of n =936 adults were surveyed to determine the nightly eating habits of Americans. The data is summarized below.

Firstly, the number of evening meals cooked at home per week was recorded and separated by gender and by whether or not they personally cooked 3 or fewer meals at home, or 4 or more meals at home, and the percentages for each category are given below:

3 or Fewer Evening Meals Cooked per Week

4 or More Evening Meals Cooked per Week

Men

76%

24%

Women

33%

67%

Next, the data was separated by income level. The study showed that while most households earning over $50,000 per year ate out at least once in the last week, 75% of those earning under $15,000 did not do so at all:

Annual

Income

Number of meals eaten out per week

None

1-3 Nights

4+ Nights

ALL

47%

49%

4%

Under $15,000

75%

19%

6%

$15,000- $29,999

58%

39%

3%

$30,000- $49,999

59%

38%

3%

$50,000 or more

31%

64%

5%

Lastly, the proportion of fast-food nights were separated between men and women, as well as between individuals with and without children:

Fast-Food Nights per Week

0

1

2-3

4+

Men

46%

28%

20%

6%

Women

63%

20%

15%

2%

Fast-Food Nights per Week

0

1

2-3

4+

With Children

47%

30%

19%

4%

Without Children

59%

20%

16%

5%

Construct a 99% confidence interval for the proportion of men who cook 4 or more evening meals at home per week. Assume that half of the individuals in the sample (468) are men.

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5. Interpret your confidence interval from #4 in the context of this survey.

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6. Construct a 90% confidence interval for the proportion of households that eat out 1-3 times per week.

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7. Interpret your confidence interval from #6 in the context of this survey.

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8. Construct a 95% confidence interval for the proportion of adults with children who ate fast food at least once per week. Assume that half of the individuals in the sample (468) have children.

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9. Interpret your confidence interval from #8 in the context of this survey.

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