Question

Run a Chi-square on the Fisher dataset.

Note: this dataset is from a popular study of one person claiming they can tell if their tea was poured before the cream, and vice versa.
DATASET:
data fisher;
input poured guess count;
datalines;
1 1 3
1 2 1
2 1 1
2 2 3
;
run;

Answer 1

To perform a Chi-square test on a TI-84 calculator, enter observed and expected values into separate lists, select Chi2 GOF from STAT TESTS, enter the degrees of freedom, and press Calculate to obtain the results.

Step-by-step explanation:

To run a Chi-square test on a TI-84 calculator, you'll first need to enter the observed data into one list and the expected values into another. The observed values are the actual counts from your data, while the expected values are the counts you would predict if the null hypothesis were true—in this case, if there were no difference in the ability to guess correctly the order of pouring tea and cream.

After entering the data into the lists, access the STAT TESTS menu on the TI-84 calculator and select the Chi2 GOF (Goodness of Fit) option. You'll then input the list names for the Observed and Expected lists. Subsequently, you will enter the degrees of freedom for the test—typically, the number of categories minus one. Finally, press Calculate to get the results, which will help you determine if there is a statistically significant difference between observed and expected frequencies.

Remember that each expected value in the categories must be at least five for the chi-square distribution to be applicable. If the observed frequencies are too low, consider combining categories, if possible, to meet this assumption.