Asked by Rebecca Rivera on May 11, 2024
Verified
A recent nationwide survey by the American Cancer Society found the percentage of women who smoke has increased to 30%. That seems a little low for your state, so you sample 500 women from your state and find 180 of them smoke.
Find the sample proportion of women who smoke in your state.
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Describe sampling distribution of ; the proportion of women who smoke.
Is the sampling distribution approximately normal?
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What is the mean?
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What is the standard deviation?
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What is the probability that at least 36% of women in your state are smokers if the true population proportion p = 0.30?
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Does your answer to the previous question cast doubt on the American Cancer Society's claim?
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Sampling Distribution
The probabilistic distribution specific to a statistic, based on randomly collected data.
- Comprehend the scenarios wherein the sampling distribution of the sample proportion can be adequately approximated by a normal distribution.
- Carry out calculations and construe the meaning of mean and standard deviation in a sampling distribution.
- Utilize strategies grounded in probability to ascertain the probability of specific events within distributions of samples.
Verified Answer
SP
Learning Objectives
- Comprehend the scenarios wherein the sampling distribution of the sample proportion can be adequately approximated by a normal distribution.
- Carry out calculations and construe the meaning of mean and standard deviation in a sampling distribution.
- Utilize strategies grounded in probability to ascertain the probability of specific events within distributions of samples.
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