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Which of the following represents the accurate null hypothesis for testing to see if there is a difference between the two population proportions?

Suppose you and your friend make a bet before the 1200 rolls take place. You agree that you will pay your friend $1 for every roll that comes up a 3 or a 4, and your friend will pay you $3 for every roll that comes up a 5. No money will be exchanged for rolls that come up 1, 2, or 6. Who do you expect will make more money on this deal? How much more money will that person make?

When an event has a probability of 1, this means:

If we randomly select a person in the sample, what is the probability that this person is 30 to 50 years old and has a tattoo?

In a carnival game, there are 10 cards on a table, face down, each with a different color on the side facing down. The booth owner says that the chance of winning the game by selecting a blue card is 1 out of 10 . Select the best interpretation if you play this carnival game many times.

At a large high school, students took a series of different advanced tests.  Each test covered a different subject area and had a different number of questions.  Also, each test had a different mean and standard deviation from the other tests.  Margarita is one of the students who took the tests.  She wants to see on what tests she performed the best compared to other students who took the tests.  Which of the following methods should she use?

Assume that the distribution of weights of adult men in the United States is normal with mean 190 pounds and standard deviation 30 pounds. Bill’s weight has a Z-score of 1.5. Which of the following is true?

For the regression line predicted long jump = 7.24 + 0.014 (year since 1900), what does the 7.24 tell us?

Which of the following is the best comparison of the centers of the three distributions?

Which one of the four scatterplots above matches the following description: “For children who are age 10 − 17, there is a strong positive linear association between a child’s age and his/her reading test score?”