The Principal of SMA Aku Pintar claims that top grade students have better UTBK scores than regular grade students. Because the UTBK is conducted in waves, until now there are only 44 students who have taken the UTBK with the following scores. Class Sample Size Sample Mean Sample Primary School Excellent 85 801 117 Regular 85 780 72 With a 95% confidence level, can the Principal's claim be declared true?

Please help with A and B

a critic points out that this 95 %  confidence interval is only accurate if the statistic follows a normal distrubution , or if the normal model is a good approximation. is this true for this data? explain

ESPN believed that 30 percent of Sportszone visitors were females. To test this hypothesis, it collected audience profile data at the ESPN SportsZone Web site and found that 36% of the visitors were females. Assume that this sample value was based on a sample of 300 users. Test its hypothesis using 95% confidence level.

Adults are spending more and more time on the Internet, and the number experiencing computer-based or Internet-based crime is rising. A 2018 Gallup Poll of 1019 adults, aged 18 and older, found that 723 of those in the sample said that they worry about having their personal, credit card, or financial information stolen by computer hackers. Although the samples in national polls are not SRSs, they are similar enough that our method gives approximately correct confidence intervals. Explain in words what the parameter p is in this setting ? Use the poll results to give a 95% confidence interval for p.

9.

The dataset "nurses" is a random sample of 1,000 cases from “Health Care Provider Credential Data” from Washington State Open Data Portal. In the sample, there are 418 CNA's and 278 of the CNA's have expired credentials. Use the statistics from the nurses dataset to answer the following question: "With 90% confidence, what percent of all CNA's on Washington State's healthcare provider list are expired?"

For part i can you describe that sample using the summaries, in part ii describe if the normality is reasonable, and part iii interpret the confidence interval?