Final answer:
Various calculator commands like 2-propzint and 2-propztest for comparing proportions, 2-sample t-test for comparing two sample means, ANOVA for comparing means across multiple groups, and Chi-square test for comparing observed and expected frequencies can be used to analyze data on a TI-83+ or TI-84 calculator.
Step-by-step explanation:
To analyze data using a calculator, one can employ various statistical tests and commands tailored to specific types of data analysis. For instance, to compare two proportions, the commands 2-propzint and 2-propztest could be used, which are found in the STAT TESTS menu on a TI-83+ or TI-84 calculator. You would input the sample sizes and number of successes for each group and then interpret the confidence interval or test result, respectively.
Another useful command is the 2-sample t-test, used when comparing the means of two independent samples. This can also be found in the STAT TESTS menu under 2-SampTTest. If, however, you are looking to compare the means of three or more groups, the ANOVA test would be the appropriate choice, which the calculator performs by entering the group data into different lists (e.g., L1, L2, L3) and selecting ANOVA from the STAT TESTS menu.
Lastly, the Chi-square test is used to compare observed data with expected data under the null hypothesis. The TI-84 has a specific command for this called Chi2 GOF. You would need to enter the observed counts into one list and the expected counts into another, specify the degrees of freedom, and then run the test from the aforementioned menu.