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Identify the mean of the sampling distribution of p

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1. 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 p in this sample who have never had a cavity.

-Identify the mean of the sampling distribution of p.

-Calculate and interpret the standard deviation of the sampling distribution of p. Check that the 10% condition is met.

-Is the sampling distribution of p approximately Normal? Check that the Large Counts condition is met.

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

-If the sample size were 4,000 rather than 1000, how would this change the sampling distribution of p?

2. At Westville High School there are 315 seniors and 289 juniors. 65% of the seniors have parking passes and 42% of the juniors have parking passes. The statistics teacher selects a SRS of 30 seniors and a separate SRS of 30 juniors. Let pS-pJ be the difference in the sample proportions of seniors and juniors that have parking passes.

-What is the shape of the sampling distribution of pS-pJ? Why?

Reference no: EM132848126

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