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# 1. The confidence interval for the population proportion of athletes who improve their sprint times after participating in the speed-training program...

1. The confidence interval for the population proportion of athletes who improve their sprint times after participating in the speed-training program was fairly wide due to the relatively small number of athletes (n=38) who participated in the program. In order to find a valid, narrower confidence interval for the true proportion, the researchers would need to include more athletes in the study, How many high school athletes should be sampled to estimate the true proportion to within .03 with 95% confidence?

2. Recall that an IDS is designed to provide an alarm whenever unauthorized access to a computed system occurs. The probability of the system giving a false alarm is defined by the symbol α, while the probability of a missed detection is defined by the symbol β. These symbols are used to represent Type I and Type II error rates, respectively, in a hypothesis-testing scenario.

a. What is the null hypothesis?

b. What is the alternative hypothesis?

c. According to actual data on the EMERALD system collected by the MIT Lincoln Laboratory, only 1 in 1000 computer sessions with no intrusions resulted in a false alarm. For the same system, the laboratory found that only 500 of 1,000 intrusions were actually detected. Use this information to estimate the values of α and β.

Given case is a study of effectivenessof speed training program for football palyers. If after time isless than before time, then the athelete's sprint performance will be classified as...