It was observed that 30 of the 100 randomly selected students smoked. Find the confidence interval estimate of \(\displaystyle{95}\%\) confidence level for \(\displaystyle\pi\) ratio of smokers in the population. a) \(\displaystyle{P}{\left({0.45}{<}{p}{<}{0.78}\right)}={0.95}\) b) \(\displaystyle{P}{\left({0.11}{<}{p}{<}{0.28}\right)}={0.95}\) c) \(\displaystyle{P}{\left({0.51}{<}{p}{<}{0.78}\right)}={0.95}\) d) \(\displaystyle{P}{\left({0.21}{<}{p}{<}{0.59}\right)}={0.95}\) e) \(\displaystyle{P}{\left({0.21}{<}{p}{<}{0.39}\right)}={0.95}\)

Based on a simple random sample of 1300 college students, it is found that 299 students own a car. We wish to construct a \(\displaystyle{90}\%\) confidence interval to estimate the proportions ? of all college students who own a car. A) Read carefully the text and provide each of the following: The sample size \(\displaystyle?=\) from the sample, the number of college students who own a car is \(\displaystyle?=\) the confidence level is \(\displaystyle{C}{L}=\) \(\displaystyle\%\). B) Find the sample proportion \(\displaystyle\hat{{?}}=\) and \(\displaystyle\hat{{?}}={1}−\hat{{?}}=\)