1.) Three contestants compete on each episode of the TV game show Jeopardy The number of female contestants for a random sample of 50 episodes are shown in the table below:

# of females 0 1 2 3

# of episodes 12 21 13 14

We would like to conduct a chi- square goodness of fit test to determine whether the number of female contestants per episode follows a binomial distribution with parameter p = 0.33 .

What is the critical value for the hypothesis test at the 10% level of significance?

2) In a random sample of 150 Manitoba high school students, it is found that 66 of them have enrolled in university.

An article in a national magazine claims that less than 48% of all high school students in Manitoba go to university after they graduate, What is the -value of the appropriate test of significance?