CB.Stats.UNC-3.M: Interpret probabilities and parameters for a sampling distribution for a sample proportion.

Interpret probabilities and parameters for a sampling distribution for a sample proportion.

Example Problems

A high school lacrosse association claims that

42\%

of the more than

7{,}000

players in the state attend a summer skills clinic. A coaching staff takes a simple random sample of

350

players to check this claim.

Assuming the association's claim is correct, what is the probability that the sample result is within

4

percentage points of the

42\%

claim?
Round your answer to the nearest hundredth.

A Snapchat usage report claims that

73\%

of the more than

\text{80,000}

surveyed teen users send at least one snap per day. A school media class takes a simple random sample of

300

of the teen users to check this claim.

Assuming the report's claim is correct, what is the probability that the sample result is within

5

percentage points of the

73\%

claim?
Round your answer to the nearest hundredth.

A tennis club director reports that

51\%

of the more than

\text{6,000}

members at clubs in the area have played in a tournament in the past year. An assistant takes a simple random sample of

275

members to check the claim.

Assuming the director's claim is correct, what is the probability that the sample result is within

5

percentage points of the

51\%

claim?
Round your answer to the nearest hundredth.

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