OpenIntroOrg Chi-Square Test for 2-Way Tables using Casio fx-9750GII

Learn how to perform one-proportion hypothesis tests and construct one-proportion confidence intervals on a Casio 9750 graphing calculator.

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Approximate script:

We'll cover how to run a chi-square test for a 2-way table using a Casio fx-9750 graphing calculator.

Context

We'll use data from an experiment where there were three treatments. 15 of 16 patients were cured in the first group, 3 of the 13 patients were cured in the second, and 4 of the 13 patients were cured in the third group.

Hypothesis test

We'll test whether these data provide strong evidence that the treatments had an effect, or whether we might observe data like these just by random chance using a 5% significance level. To do so, navigate to Test, then Chi for chi-square. Since we're constructing a test for a 2-way table, select 2-way.

We will need to enter the data into a matrix. If we had already done this previously, we could just specify the matrix of interest. Let's use matrix C, so we navigate to Matrix C and hit Execute. We specify that we need a 2-by-3 matrix and then enter in the data. When done, exit back to the test page. Now we need to specify the proper matrix, so hit F1 and enter the matrix name. Finally, specify where the matrix of expected values should be stored. This is helpful since it shows the expected count in each cell of the matrix. After that, hitting execute provides the test results.

The test statistic is 17.9, and the p-value is 1.3e-04, which is the same thing as 0.00013. And the degrees of freedom is 2. Because the p-value is smaller than the significance level, we reject the null hypothesis. That is, the data provide strong evidence that at least some of the treatments varied in their effectiveness.

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Chi-Square Test for 2-Way Tables using Casio fx-9750GII
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