Too many errors. Refer to the previous exercise. The

Chapter , Problem 8.83

(choose chapter or problem)

Too many errors. Refer to the previous exercise. The chance that each of the six intervals that you calculated includes the true proportion for that genre is approximately 95%. In other words, the chance that your interval misses the true value is approximately 5%. (a) Explain why the chance that at least one of your intervals does not contain the true value of the parameter is greater than 5%. (b) One way to deal with this problem is to adjust the confidence level for each interval so that the overall probability of at least one miss is 5%. One simple way to do this is to use a Bonferroni procedure. Here is the basic idea: You have an error budget of 5% and you choose to spend it equally on six intervals. Each interval has a budget of 0.056 0.008. So, each confidence interval should have a 0.8% chance of missing the true value. In other words, the confidence level for each interval should be 1 0.008 0.992. Use Table A to find the value of z* for a large-sample confidence interval for a single proportion corresponding to 99.2% confidence. (c) Calculate the six confidence intervals using the Bonferroni procedure. 8.