Question 18 The director of distance education is interested in examining whethe

Question

Question 18

The director of distance education is interested in examining whether there is a relationship between gender and course delivery method. Assume the calculated value of the test statistic (Chi-Square) is 5.01 and that the critical value is 12.5916.

Choose the following that would be the appropriate conclusion, given the information provided in this question.

there is not sufficient information provided to make a conclusion

reject the null hypothesis and conclude that gender and course delivery chosen are independent

fail to reject the null hypothesis and conclude that gender and course delivery chosen are not independent

reject the null hypothesis and conclude that gender and course delivery chosen are not independent

fail to reject the null hypothesis and conclude that gender and course delivery chosen are independent

none of these

QUESTION 19

The director of distance education is interested in examining whether there is a relationship between gender and course delivery method. Assume the director believes an appropriate value of alpha is 0.01 and that the p-value is 0.06.

Choose the following that would be the appropriate conclusion, given the information provided in this question.

reject the null hypothesis and conclude that gender and course delivery chosen are not independent

there is not sufficient information provided to make a conclusion

none of these

fail to reject the null hypothesis and conclude that gender and course delivery chosen are independent

reject the null hypothesis and conclude that gender and course delivery chosen are independent

fail to reject the null hypothesis and conclude that gender and course delivery chosen are not independent

QUESTION 20

The director of distance education is interested in examining whether there is a relationship between gender and course delivery method. Assume the null hypothesis was rejected.

Choose the following that would be the appropriate response, given the information provided in this question.

a type II error may have been made

none of these

a type I error may have been made

a type I error could not have been made

there is not sufficient information provided to make a conclusion

reject the null hypothesis and conclude that gender and course delivery chosen are independent

fail to reject the null hypothesis and conclude that gender and course delivery chosen are not independent

reject the null hypothesis and conclude that gender and course delivery chosen are not independent

fail to reject the null hypothesis and conclude that gender and course delivery chosen are independent

none of these

Explanation / Answer

Question 18 :
Since the calculated value of the statistic < critical value, we fail to reject the null hypothesis of independence (as in any Chi-Square test) and conclude that gender and course delivery chosen are independent. (5)

Question 19 :
Since the p-value > alpha value, we fail to reject the null hypothesis of independence (as in any Chi-Square test) and conclude that gender and course delivery chosen are independent. (4)

Question 20 :
Since null hypothesis is rejected, either of the two things may have occurred, that is, either the decision is correct or type I error is committed. (3)

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