For a hypothesis test of a single population proportion, we can use the "Statistics" tab in the Probability Calculator in Geogebra or Basic Statistics > 1 Proportion" in Minitab. For Geogebra, click the drop-down menu near the top (default is "Z Test of a Mean") and choose "Z Test of a Proportion." Enter the of Successes (usually written as x, which is not the same thing as x), and sample size N. We'll use a sample of size 16 in which there successes. For Minitab, first select "Summarized Data" from the drop-down menu, then enter the number of events (Successes, x), and numer of (sample size N). Check "Perform Hypothesis Test" and enter the hypothesized proportion. Click Options and select your alternate hypothesis and "Normal Approximation" from the drop-down list. For a hypothesis test of Ho :p = 0.5 versus HA:p <0.5: • The given sample has a test statistic of -1.5012 • The P-value for the test is 0.053 For a hypothesis test of Ho :p = 0.3 versus HA : p > 0.3: • The given sample has a test statistic of 0.1068 • The P-value for the test is 0.457 For a hypothesis test of Ho :p = 0.3 versus HA:p + 0.3: • The given sample has a test statistic of 0.1068 • The P-value for the test is 0.914