Can hypothesis testing ever prove a hypothesis true? How should we interpret an experiment where we fail to reject the null hypothesis?

You conduct a hypothesis test. Assuming you have made no errors in your calculations, what should we conclude if the test statistic ends up being positive?    The claimed population proportion must be large. The sample proportion is larger than (or greater than) the claimed population proportion. The sample proportion is smaller than (or less than) the claimed population proportion. The sample size must be large. The claimed population proportion must be small.

A textbook publisher claims that 75% of college students enrolled in a course that uses their textbooks pass the class. One professor thinks the proportion is actually higher. He surveys 111 students in classes that use a textbook from the textbook publisher and finds the 92 of those students ultimately pass the class. Perform a hypothesis test using a 4% level of significance. Step 1: State the null and alternative hypotheses. Ho: ?v?v Ha: ? ?v (So we will be performing a Select an answer v test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P(? v ? v = P(?v?v p-value = Step 4: Make a Conclusion About the null hypothesis. Since the p-value = = a, we Select an answer v the null hypothesis. O We cannot…

State why a non-significant outcome does not mean the null hypothesis is probably true?