Title: One-Sample z-Test for a Proportion | Full Example with Steps & Interpretation

In this video, we go step-by-step through a complete one-sample z-test for a population proportion, showing how to set up, calculate, and interpret results in context. You’ll learn how to: ✅ Write clear null and alternative hypotheses ✅ Check the conditions — random, independent, and large counts ✅ Calculate the test statistic (z) and find the p-value* ✅ Use Stapplet or StatCrunch to check your work ✅ Draw a conclusion and interpret it in the real-world context 📊 Example Scenario: A school claims that 70% of students prefer online learning. In a random sample of 100 students, 62 said they prefer online learning. At the 0.05 significance level, is there enough evidence to suggest that the proportion of students who prefer online learning is less than 70%? We’ll compute the z-score, find the p-value, and decide whether to reject or fail to reject the null hypothesis — all while interpreting the result clearly. 💡 Perfect for: Students learning proportion hypothesis testing Reviewing inference for one-sample z-tests Understanding p-values and significance levels