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Chi-Square Tests: Comparing Frequencies

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Questions and Answers

What is the primary purpose of the Chi-Square test of independence?

To determine the correlation between two continuous variables

To identify the outliers in a distribution

To compare the means of two or more groups

To test the relationship between two categorical variables (correct)

What is the degrees of freedom for the Chi-Square distribution in the goodness of fit test?

K - 1 (correct)

K + 1

2K - 1

What is the null hypothesis in the Chi-Square test of independence?

The variables are independent

There is no association between the two variables (correct)

There is an association between the two variables

The variables are correlated

What is the formula for calculating the test statistic in the Chi-Square test?

(O - E)^2 / E Signup and view all the answers

What is the significance level at which the null hypothesis is rejected in the Chi-Square test?

0.5% Signup and view all the answers

What is the degrees of freedom for the Chi-Square distribution in the Chi-Square test of independence?

(kr - 1)(kc - 1) Signup and view all the answers

What is the purpose of the Chi Square Goodness of Fit test?

To determine if the frequencies of different groups differ from those expected under the null hypothesis Signup and view all the answers

What is the null hypothesis in a Chi Square test?

The observed frequencies are equal to the expected frequencies Signup and view all the answers

What is the purpose of the level of significance in hypothesis testing?

To determine the probability of rejecting the null hypothesis when it is true Signup and view all the answers

What is the purpose of the test statistic in hypothesis testing?

To measure the strength of evidence against the null hypothesis Signup and view all the answers

What happens if the test statistic falls in the top 5% of the distribution?

The null hypothesis is unlikely to be true Signup and view all the answers

What is the purpose of the alternative hypothesis?

To provide a hypothesis that is opposite to the null hypothesis Signup and view all the answers