A sports league introduced a video referee to review certain critical plays. However, the system has not been without its controversies. One particular unfortunate incident led to an outcry among fans. Nevertheless, a poll after this event found that 57% of fans were still in favour of the continued use of the video referee. Suppose the size of this sample was 300 people. Complete parts a and 𝑏.

a. Estimate the true proportion of fans in favour of keeping the video referee using a 99% confidence interval. b. What is the margin of error for this sample? Answer:Given:Sample proportion (p ̂)=0.57Sample size (n)=300Confidence interval level =99% A) The 99% confidence interval: The…

Suppose GHC wanted to understand the commute on different campuses. They believe the current commute is greater than 28 minutes with a standard deviation of 6 minutes. They decide to survey students and record their commute times.

They are able to survey 150 students and find a commute time of 29.5 minutes. At the 5% level of significance, is the current commute time greater than 28 minutes for GHC students accurate? Answer: Given Data:The population mean (μ)=28The sample standard deviation (s)=6The sample size (n)=150The sample…

A survey of 219 students at a community college found that 81 of them had graduated with some kind of academic honors. Find the 95% confidence interval of the true proportion of community college students that graduated with some kind of academic honors.Write your answer as an interval (smaller number first, then bigger number).

Answer: Given Data:The favorable cases (x)=81The sample size (n)=219The confidence interval level =95% → The sample proportion (p ̂ )=x → The level of significance (α)=1-confidence interval level=1-0.95=0.05 → The critical value at α=0.05 is 1.96 [ use z table…