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.

Describe sampling distribution of ; the proportion of women who smoke.
Is the sampling distribution approximately normal?

What is the mean?

What is the standard deviation?

What is the probability that at least 36% of women in your state are smokers if the true population proportion p = 0.30?

Does your answer to the previous question cast doubt on the American Cancer Society's claim?

Question

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.
______________
Describe sampling distribution of

; the proportion of women who smoke.
Is the sampling distribution approximately normal?
______________
What is the mean?
______________
What is the standard deviation?
______________
What is the probability that at least 36% of women in your state are smokers if the true population proportion p = 0.30?
______________
Does your answer to the previous question cast doubt on the American Cancer Society's claim?
______________

Sudeep Pradhananga · Accepted Answer

Final Answer : 0.36; Yes; 0.30; 0.0205; 0.0017; Yes

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Learning Objectives

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