Question

In: Statistics and Probability

In a survey of 1,000 adults in a country, 722 said that they had eaten fast...

In a survey of 1,000 adults in a country, 722 said that they had eaten fast food at least once in the past month. Create a 95% confidence interval for the population proportion of adults who ate fast food at least once in the past month. Use Excel to create the confidence interval, rounding to four decimal places.

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Expert Solution

In a survey of 1,000 adults in a country, 722 said that they had eaten fast food at least once in the past month. Create a 95% confidence interval for the population proportion of adults who ate fast food at least once in the past month. Use Excel to create the confidence interval, rounding to four decimal places.

95% confidence interval for the population proportion = (0.6942, 0.7498)

Confidence Interval Estimate for the Proportion

Data

Sample Size

1000

Number of Successes

722

Confidence Level

95%

Intermediate Calculations

Sample Proportion

0.722

Z Value

-1.9600

Standard Error of the Proportion

0.0142

Interval Half Width

0.0278

Confidence Interval

Interval Lower Limit

0.6942

Interval Upper Limit

0.7498

Confidence Interval Estimate for the Proportion

Data

Sample Size

1000

Number of Successes

722

Confidence Level

0.95

Intermediate Calculations

Sample Proportion

=B5/B4

Z Value

=NORM.S.INV((1-B6)/2)

Standard Error of the Proportion

=SQRT(B9*(1-B9)/B4)

Interval Half Width

=ABS(B10*B11)

Confidence Interval

Interval Lower Limit

=B9-B12

Interval Upper Limit

=B9+B12


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