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A confidence interval was used to estimate the proportion of statistics students that are females. A random sample of 72 statistics students generated the following 90% confidence interval: (0.438, 0.642). Based on the interval above, is the population proportion of females equal to 0.60?

a) No, and we are 90% sure of it.
b) No. The proportion is 54.17%.
c) Maybe. 0.60 is a believable value of the population proportion based on the information above.
d) Yes, and we are 90% sure of it.

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3 answers

  1. a) No, and we are 90% sure of it.
    b) No. The proportion is 54.17%.
    c) Maybe. 0.60 is a believable value of the population proportion based on the information above.
    d) Yes, and we are 90% sure of it.

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  2. Since you are already given the values for the confidence interval, take those values, add them together and divide by 2. This will be the proportion of the sample used to generate the interval. A 90% interval means that you can be 90% sure that the population proportion is contained within that interval.

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  3. Thanks:)

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