Use this set-up for Problems 53-56:   A Quinnipiac poll perf…

Use this set-up for Problems 53-56:   A Quinnipiac poll performed on January 28-February 1, 2021 asked Americans, “Are you willing to get a COVID-19 vaccine, or not?” 30% of respondents said they were not. You wonder whether this proportion has changed in the past few months, so you conduct a poll of 100 Americans and ask the same question. 25 people in your sample were unwilling to get the COVID-19 vaccine. Suppose you set .   What hypotheses should you set-up to determine if the percentage has changed since the initial poll?

Use this set-up for Problems 11-12:    Consider the image…

Use this set-up for Problems 11-12:    Consider the images above. An experiment consists of the spinner being spun twice. The probabilities associated to each outcome of the overall experiment (not of each individual spin) are identical to the probabilities of the outcomes of which experiment described below?