Question

Do male and female skiers differ in their tendency to use a ski helmet? Ruzic and Tudor (2011) report a study in which 710 skiers completed a survey about aspects of their skiing habits. Suppose the results from the question on the survey about ski helmet usage were as follows:

Male helmet usage : Never, ocassionally, Always

244, 58, 192

Female helmet use: 103, 37, 76

Part a)
Which of the following null hypotheses could sensibly be tested by the data presented above?


a. The mean number of male skiers who never wear a ski helmet is the same as the mean number of female skiers who never use one.
b. Male and female skiers are as likely to never use a ski helmet as always use one.
c. There is no relationship between Gender and Helmet usage.

Part b)
Under the null hypothesis, what is the expected number of men in the survey who never wear a ski helmet?

Part c)
Perform a suitable test on the data above to test the null hypothesis.

Answer 1

please leave a comment if there is any doubt.

For this problem the pearsonian chi square test is used.