The 60 students in a class at the University of Florida made blinded evaluations of pairs of cola drinks. For the 60 comparisons of Coke and Pepsi,...

The 60 students in a class at the University of Florida made blinded evaluations of pairs of cola drinks. For the 60 comparisons of Coke and Pepsi, Coke was preferred 35 times. Is this strong evidence that a majority prefers one of the drinks, or could this outcome be explained by chance?

A jury list contains the names of all individuals who may be called for jury duty. The proportion of the available jurors on the list who are women is 0.53. If 40 people are selected to serve as candidates to serve on the jury, Five of the 40 selected were women. Is there statistically significant evidence suggesting that it is differ in gender for jury selection, or could this outcome be explained by chance? ? Assume that significance level of 0.01.