Students on diets A sample survey interviews an SRS of 267college women. Suppose (as is roughly true) that 70% of college women have been on a diet within the past 12 months. What is the probability that 75% or more of the women in the sample have been on a diet? Follow the four-step process.

Short Answer

Expert verified

The probability that 75%or more of the women in the sample have been on a diet is0.0375.

Step by step solution

01

Given Information 

Number of SRS=267

The proportion of women on a diet within the past 12months =70%

02

Explanation 

We have,

p=70%=0.70

p^=75%=0.75

n=267

p^ is equal to the percentage of the population p in the sampling distribution:

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Most popular questions from this chapter

Hispanic workers A factory employs 3000 unionized workers, of whom 30%are Hispanic. The 15 -member union executive committee contains 3 Hispanics. What would be the probability of 3 or fewer Hispanics if the executive committee were chosen at random from all the workers?

CHALLENGE: See if you can compute the probability using another method.

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(b) The standard deviation of the sampling distribution is a measure of the variability of the sample mean among repeated samples.

(c) The sample mean is an unbiased estimator of the true population mean.

(d) The sampling distribution shows how the sample mean will vary in repeated samples.

(e) The sampling distribution shows how the sample was distributed around the sample mean

The central limit theorem is important in statistics because it allows us to use the Normal distribution to make inferences concerning the population mean

(a) if the sample size is reasonably large (for any population).

(b) if the population is normally distributed and the sample size is reasonably large.

(c) if the population is normally distributed (for any sample size).

(d) if the population is normally distributed and the population variance is known (for any sample size).

(e) if the population size is reasonably large (whether the population distribution is known or not,

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If you know that a randomly chosen person 25years of age or older is a college graduate, what is the probability that he or she is in the labor force? Show your work.

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