Exam 9: Introduction to Estimation

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In selecting the sample size to estimate the population proportion p, if we have no knowledge of even the approximate values of the sample proportion In selecting the sample size to estimate the population proportion p, if we have no knowledge of even the approximate values of the sample proportion   , we: , we:

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Physicians: A random sample of 200 physicians shows that there are 36 of them who make at least $400,000 a year. -Construct a 99% confidence interval estimate of the population proportion of physicians who make at least $400,000 a year, and explain how to use it to test the hypotheses.

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Which of the following would be an appropriate null hypothesis?

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Define relative efficiency.

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If there are two unbiased estimators of a population parameter available, the one that has the smallest variance is said to be:

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Which of the following statements is true?

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Socialist Party Voters: A pollster in Italy wants to challenge a claim that 5% of the registered voters in his country are Socialists; he thinks the percentage is lower than that. In a test of hypothesis, H0: p = 0.05 vs. H1: p < 0.05, his random sample of size 1,000 registered voters revealed that the number of Socialists was 40. -Construct a 95% confidence interval estimate of the population proportion and explain how to use it to test the hypotheses.

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Physicians: A random sample of 200 physicians shows that there are 36 of them who make at least $400,000 a year. -Compute the p-value and explain how to use it to test the hypotheses.

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The error of estimation is the ____________________ between an estimator and the parameter.

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The confidence interval estimate of the population mean is constructed around the sample mean.

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To produce a confidence interval estimator for the total, we multiply the lower and upper confidence limits of the interval estimator of p by ____________________.

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An unbiased estimator is a sample statistic whose expected value equals the population parameter.

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The lower limit of the 90% confidence interval for the population proportion p, given that n = 400 and The lower limit of the 90% confidence interval for the population proportion p, given that n = 400 and   = 0.10, is 0.0247. = 0.10, is 0.0247.

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Which of the following statements is correct?

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A(n) ____________________ estimator of a population parameter is an estimator whose expected value is equal to that parameter.

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The formula The formula   is used to find the sample size needed to estimate a population proportion. In this formula, B represents the ____________________ on the error of estimation. is used to find the sample size needed to estimate a population proportion. In this formula, B represents the ____________________ on the error of estimation.

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The problem with relying on a point estimate of a population parameter is that:

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In testing a hypothesis about a population proportion p, the z test statistic measures how close the computed sample proportion In testing a hypothesis about a population proportion p, the z test statistic measures how close the computed sample proportion   has come to the hypothesized population parameter. has come to the hypothesized population parameter.

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It is intuitively reasonable to expect that a larger sample will produce more ____________________ results.

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If the population standard deviation is guesstimated, and it turned out to be larger than you assumed, then the sample size you calculated is ____________________ than it needs to be.

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