3. Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places.

98% confidence; the sample size is 800, of which 40% are successes

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4. 50 people are selected randomly from a certain population and it is found that 12 people in the sample are over 6 feet tall. What is the point estimate of the proportion of people in the population who are over 6 feet tall?

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5. Thirty randomly selected students took the calculus final. If the sample mean was 95 and the standard deviation was 6.6, construct a 99% confidence interval for the mean score of all students.

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6. Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.028; confidence level: 99%; and unknown

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7. Find the appropriate critical value for the following:

99% confidence level ; *n* = 17; *σ* is unknown; population appears to be normally distributed.

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8. Find the critical value χ^{2}_{R} corresponding to a sample size of 19 and a confidence level of 99 percent if the test it two-tailed.

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9. Find the critical value χ ^{2}_{L} corresponding to a sample size of 19 and a confidence level of 99 percent if the test is two-tailed.

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10. To find the standard deviation of the diameter of wooden dowels, the manufacturer measures 19 randomly selected dowels and finds the standard deviation of the sample to be s = 0.16. Find the 95% confidence interval for the population standard deviation σ.

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