Hypothesis Test of Mean for Normal Distribution - One Large Sample
Press STAT and the right arrow twice to select TESTS. Use the down arrow to select 1:Z-Test… Press ENTER.

Use right arrow to select Stats (summary values rather than raw data). Enter hypothesized mean, standard deviation, mean, and sample size. Select alternate hypothesis. Press down arrow to select Calculate and press ENTER.

Results: Since the p-value is 0.1, do not reject the null hypothesis with an alpha value of 0.10 or smaller (10% level of significance or smaller).

Hypothesis Test of Mean for Normal Distribution - Two Large Samples
Press STAT and the right arrow twice to select TESTS. Use the down arrow to select 3:2-SampZTest… Press ENTER.

Use right arrow to select Stats (summary values rather than raw data). Enter standard deviations, mean and sample size for samples 1 and 2. Select alternate hypothesis. Press down arrow to select Calculate and press ENTER.

Results: Since the p-value is 0.004, reject the null hypothesis with an alpha value of 0.10 or smaller (10% level of significance or smaller). Conclude that the two population means are not different.

Hypothesis Test of Proportion for Normal Distribution - One Large Sample
Press STAT and the right arrow twice to select TESTS. Use the down arrow to select 5:1-PropZTest… Press ENTER.
Enter hypothesized proportion, number of favorable outcomes, X, sample size, n, and select the alternate hypothesis. Use down arrow to select Calculate and press ENTER.
Results: Since the p-value is near zero, reject the null hypothesis. Conclude that the sample proportion of 0.15 is significantly different from the hypothesized proportion of 0.52.

Hypothesis Test of Proportion for Normal Distribution - Two Large Samples
Press STAT and the right arrow twice to select TESTS. Use the down arrow to select 6:2-PropZTest… Press ENTER.
Enter number of favorable outcomes and sample size of samples 1 and 2. Select the alternate hypothesis. Use down arrow to select Calculate and press ENTER.
Results: Since the p-value is near zero, reject the null hypothesis. Conclude that the sample 1 proportion of 0.90 is significantly greater than sample 2 proportion of 0.50.