1. Six different actors have portrayed James Bond in 211 movies. Here is the frequency table:

Actor frequency

Sean Connery 98

George Lazenby 5

Roger Moore 23

Timothy Dalton 9

Pierce Brosnan 25

Daniel Craig 51

Use chi square test to test the hypothesis that all six actors are equally popular. Use = 0.05. (That is, test the hypothesis that the proportions of movies in which each actor appears as James Bond are the same for all 6 actors).

2. You are given the following table of users "liking" the content on Facebook:

Liking male female total

every day 77 142 219

3-5 days per week 39 54 93

1-2 days per week 62 69 131

every few weeks 42 44 86

less often 166 182 348

total 386 491 877

Is there an association between the frequency of "liking" and the gender of the user? Use chi-square test for 2 categorical variables. Use = 0.05.

3. The mean cost of a daily newpaper is $1.20, and you want to test the hypothesis that it is less than $1.20. Write down H0,HA for this problem and explain what type I and type II errors are in this case.

4. A survey of 1000 adults found that 29% of them believe in ghosts. Does this provide enough evidence that more than 25% of all people believe in ghosts? Use = 0.05.

5. We want to test the hypothesis that the average price of a house in NY is greater than $265, 000. We are given a sample of 30 houses in NY and their (sample) mean average price is $285, 000, and the sample standard deviation is $50, 000. Test the hypothesis that the average price of a house in NY is more than $265, 000 using = 0.05.