# Question

It has been claimed that, for a penny minted in 1999 or earlier, the probability of observing heads upon spinning the penny is p = 0.30. Three students got together, and they would each spin a penny and record the number X of heads out of the three spins. They repeated this experiment n = 200 times, observing 0, 1, 2, and 3 heads 57, 95, 38, and 10 times, respectively. Use these data to test the hypotheses that X is b(3, 0.30). Give limits for the p-value of this test. In addition, out of the 600 spins, calculate the number of heads occurring and then a 95% confidence interval for p.

## Answer to relevant Questions

For determining the half-lives of radioactive isotopes, it is important to know what the background radiation is for a given detector over a certain period. A γ-ray detection experiment over 300 one-second intervals yielded ...A random survey of 100 students asked each student to select the most preferred form of recreational activity from five choices. Following are the results of the survey: Test whether the choice is independent of the gender ...Let X1, X2, X3, X4 equal the cholesterol level of a woman under the age of 50, a man under 50, a woman 50 or older, and a man 50 or older, respectively. Assume that the distribution of Xi is N(μi, σ2), i = 1, 2, 3, 4. We ...In Exercise 6.5-5, data are given for horsepower, the time it takes a car to go from 0 to 60, and the weight in pounds of a car, for 14 cars. Those data are repeated here: (a) Let ρ be the correlation coefficient of ...Snee has measured the thickness of the “ears” of paint cans. (The “ear” of a paint can is the tab that secures the lid of the can.) At periodic intervals, samples of five paint cans are taken from a hopper that ...Post your question

0