Quiz #4- Estimating Proportions (Margin of error)
1.
A scientist takes a random sample of 30 sun-like stars and finds that 10 of them have planets orbiting them. The
scientist uses a computer to simulate selecting samples of 30 sun-like stars so that each star has about a
having planets orbiting it. They find the proportion of stars in that trial that have planets and repeat the process to get
1 chance of
1,000 trials. The dot plot shows the proportions of stars that have planets for each of the 1,000 trials.
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The mean of the simulated proportion estimate below is 0.35 and the standard deviation is 0.086.
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a. What interval contains 95% of the simulated proportions of sun-like stars that have planets orbiting them?
b. What margin of error should be included with the estimate? Explain your reasoning.
c. Based on the simulated proportion estimate and margin of error, is 0.36 a plausible value for the proportion of stars
that have planets orbiting them?
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