Question

Post two problems you've created on your own; 1) Chi-Square test of Independence 2) Chi-Square test of Goodness of fit. Part 2: Solve BOTH of your problems, showing the details of each step.

Answer 1

To perform a chi-square test of independence, you need to state the hypotheses, collect and organize data, calculate expected frequencies, calculate the test statistic, determine degrees of freedom, find the critical value or p-value, make a decision, and interpret the results. Similarly, to perform a chi-square test of goodness of fit, you need to state the hypotheses, collect and categorize data, calculate expected frequencies, calculate the test statistic, determine degrees of freedom, find the critical value or p-value, make a decision, and interpret the results.

Step-by-step explanation:

Problem 1: Chi-Square Test of Independence

To solve a chi-square test of independence problem, follow these steps:

1. State the null hypothesis and alternative hypothesis.
2. Collect data and organize it into a contingency table.
3. Calculate the expected frequencies for each cell of the contingency table.
4. Calculate the chi-square test statistic.
5. Determine the degrees of freedom.
6. Find the critical value or p-value.
7. Make a decision to reject or fail to reject the null hypothesis.
8. Interpret the results.

Problem 2: Chi-Square Test of Goodness of Fit

To solve a chi-square test of goodness of fit problem, follow these steps:

1. State the null hypothesis and alternative hypothesis.
2. Collect data and categorize it into different groups.
3. Calculate the expected frequencies for each group.
4. Calculate the chi-square test statistic.
5. Determine the degrees of freedom.
6. Find the critical value or p-value.
7. Make a decision to reject or fail to reject the null hypothesis.
8. Interpret the results.