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Which of the following statements about the Chi-square analysis is true? Categorical data from questions about sex, education, or other nominal variables cannot be tested with this statistic. The expected frequencies in Chi-square cannot be calculated theoretically. The larger the Chi-square, the less likely it is that the two variables that are measured are related. When the differences between observed and expected frequencies are large, one must accept the null hypothesis. Chi-square analysis compares the observed frequencies of responses with the expected frequencies.

Question

Which of the following statements about the Chi-square analysis is true? Categorical data from questions about sex, education, or other nominal variables cannot be tested with this statistic. The expected frequencies in Chi-square cannot be calculated theoretically. The larger the Chi-square, the less likely it is that the two variables that are measured are related. When the differences between observed and expected frequencies are large, one must accept the null hypothesis. Chi-square analysis compares the observed frequencies of responses with the expected frequencies.

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Solution

The true statement about the Chi-square analysis is: "Chi-square analysis compares the observed frequencies of responses with the expected frequencies."

Here's why:

  1. Categorical data from questions about sex, education, or other nominal variables can indeed be tested with Chi-square. This is one of the main uses of the Chi-square test.

  2. The expected frequencies in Chi-square can be calculated theoretically. They are usually based on the assumption that the variables are independent.

  3. The larger the Chi-square, the more likely it is that the two variables that are measured are related, not less likely. A large Chi-square value indicates a significant difference between the observed and expected frequencies.

  4. When the differences between observed and expected frequencies are large, one must reject the null hypothesis, not accept it. The null hypothesis in a Chi-square test is usually that the variables are independent.

  5. Chi-square analysis does indeed compare the observed frequencies of responses with the expected frequencies. This is the basic principle of the Chi-square test.

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Similar Questions

A necessary assumption that is made when conducting a chi-squared analysis is: (select the one false statement)Group of answer choicesat least 80% of the observed frequencies are greater than or equal to 5all expected frequencies are greater than or equal to 1the sample size is large enough to approximate a Binomial random variable by a normal random variablethe sample data consist of frequency counts for different categories of a tablea subject can only fit into one category of the table (i.e. they belong with only one cell of the table)

Chi-square analysis enables researchers to test for statistical significance between the frequency distributions of two or more nominally scaled variables in a cross-tabulation table to determine if there is any association between the variables. True False

3. The Chi Square test is applicable for a given data, if*

In the chi-square test, the null hypothesis states:a.There is an association between the variablesb.There is no association between the variablesc.The means of the groups are equald.The variances of the groups are equal

What does a chi-square test compare?Question 4Answera.the frequency of incorrect responses for each variableb.correct and incorrect reaction timesc.the observed and total frequencies for each individual participantd.the observed and expected frequencies for each cell

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