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[AP Statistics] 8.2a Classwork/Homework

Last updated 5 months ago
22 questions

1

Katy Perry is currently the most popular account on Twitter®with about 100 million followers.

Mr. Starnes wondered what proportion of Katy Perry’s Twitter followers are female, so he selected a random sample of 500 of Katy Perry’s followers. In the sample, 308 are female.

Check if the conditions for constructing a confidence interval for p are met. Select all that are met

1

Explain.

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Mr. Starnes wondered what proportion of Katy Perry’s Twitter®followers are female, so he selected a random sample of 500 of Katy Perry’s followers. In the sample, 308 are female. Assume the conditions for inference are met.

(a) Determine the critical value z* for a 80% confidence interval for a proportion.

Round to the nearest hundredth

1

What is the point estimate for the proportion of Katy Perry’s Twitter followers that are female?

Round to the nearest Hundredth

1

What is the standard error of the statistic?

Round to the nearest hundredth

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(b) Construct a 80% confidence interval for the proportion of all of Katy Perry’s Twitter followers who are female.

(_______ ,_______ )

Round to the nearest hundredth
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(c) Interpret the interval from part (b).

1

Select each condition that is met.

1

Explain

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Select each condition that is met.

1

Explain

1


Round to the nearest Hundredth

1

Determine the point estimate for the confidence interval

Round to the nearest Hundredth

1

Determine the standard error for the confidence interval

Round to the nearest Hundredth

1

(_______ ,_______ )

Round to the nearest Hundredth
1

1


Determine the critical z* value for a 90% confidence interval

Round to the nearest hundredth

1

Determine the point estimate

Round to the nearest hundredth

1

Determine the standard error

Round to the nearest hundredth

1
Find the 90% confidence interval

(_______ ,_______ )

Round to the nearest hundredth
1

Interpret the interval in context

1

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