Exam 11: Estimation: Describing a Single Population

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A marketing researcher wishes to determine the sample size needed to estimate the proportion of wine drinkers who prefer a certain brand of wine. How many wine drinkers should be surveyed if the researcher wants to be within 0.025 with 95% confidence?

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The sample proportion is a biased estimator of the population proportion.

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The z value for a 95% confidence interval estimate is:

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In the formula xˉ±zd2σ/n\bar { x } \pm z _ { d 2 } \sigma / \sqrt { n } , the subscript α/2\alpha / 2 refers to the area in the lower tail or upper tail of the sampling distribution of the sample mean.

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Which of the following best describes an unbiased estimator?

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The width of a confidence interval increases as the level of significance increases.

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What is the margin of error for a 99% confidence interval for the population proportion of people that own more than one mobile phone, if a random sample of 50 people was taken, and 10 of these had more than one mobile phone?

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