Find the point estimate for the population proportion. b)  Construct a 95% confidence interval for the population proportion. Interpret the  results. c)  Does it seem possible that the population proportion could be within 99% of the point estimate? Explain.   d)  Find the minimum sample size needed to estimate the population proportion at  the 99% confidence level in order to ensure that the estimate is accurate within 3% of the population proportion.

MATLAB: An Introduction with Applications
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  1. In a survey of 2096 U.S. adults, 1740 think football teams of all levels should require players who suffer a head injury to take a set amount of time off from playing to recover.           

a)  Find the point estimate for the population proportion.

b)  Construct a 95% confidence interval for the population proportion. Interpret the  results.

c)  Does it seem possible that the population proportion could be within 99% of the point estimate? Explain.

  d)  Find the minimum sample size needed to estimate the population proportion at  the 99% confidence level in order to ensure that the estimate is accurate within 3% of the population proportion.

 

  2. Use the standard normal distribution or the t-distribution to construct the indicate confidence interval for the population mean of each data set. Justify your decision. If            neither distribution can be used, explain why. Interpret the results.

   a)   In a random sample of 40 patients, the mean waiting time at a dentist's office was  20 minutes and the standard deviation was 7.5 minutes. Construct a 95%                     confidence interval for the population mean.

  b)   In a random sample of 15 cereal boxes, the mean weight was 11.89 ounces. assume the wights of the cereal boxes are normally distributed and the population standard deviation is 0.05 ounce. Construct a 90% confidence interval for the population mean.

 

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