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    Confidence interval to test proportion of US households with a dog

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    A humane society claims that less than 35% of U.S. households own a dog. In a random sample of 400 U.S. households, 156 say they own a dog.

    (5) Describe the population of interest and calculate the numerical value of the statistic p Ì? that that we will use to estimate the population proportion p.

    (5) Construct a 95% confidence interval for the proportion of U.S. households with a dog.

    (4) Construct a 99% confidence interval for the proportion of U.S. households with a dog.

    (6) Describe the relationship between the confidence level and the size of the confidence interval. Explain why this relationship holds.

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    Problem: A humane society claims that less than 35% of U.S. households own a dog. In a random sample of 400 U.S. households, 156 say they own a dog.

    a) Describe the population of interest and calculate the numerical value of the statistic p ̂ that that we will use to estimate the population proportion p.

    b) Construct a 95% confidence interval for the proportion of U.S. households with a dog.

    c) Construct a 99% confidence ...

    Solution Summary

    The expert examines confidence interval to test proportions of US households with a dog.

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