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Laabri

U5D2 Ch.Y.U. - Sampling Proportions & Differences in Sample Proportions

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Last updated about 1 year ago
7 Nsɛmmisa

According to the American Dental Association, 8% of adults have never had a cavity. A dental graduate student contacts an SRS of 1000 adults and calculates the proportion

in this sample who have never had a cavity.

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1.
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2.

Is the sampling distribution of

approximately Normal? Show work.

(Check shape)

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3.

Find the probability that the random sample of 1000 adults will give a result within 2 percentage points of the true proportion.

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4.

At Westville High School there are 315 seniors and 389 juniors. 65% of the seniors have parking passes and 42% of the juniors have parking passes. The statistics teacher selects an SRS of 30 seniors and a separate SRS of 30 juniors.

Let

be the difference in the sample proportions of seniors and juniors that have parking passes.

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5.

What is the shape of the sampling distribution of

? Why?

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6.

Find the mean and standard deviation of the sampling distribution of

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7.

What is the probability that the difference in sample proportions

(senior – junior) of students with parking passes is greater than 30%?