Olympic Event

Question

On February 8, 2002, the Gallup Organization released the results of a poll concerning American attitudes toward the 19th Winter Olympic Games in Salt Lake City, Utah. The poll results were based on telephone interviews with a randomly selected national sample of 1,011 adults, 18 years and older, conducted February 4-6, 2002.

a. Suppose we wish to use the poll’s results to justify the claim that more than 30 percent of Americans (18 years or older) say that figure skating is their favorite Winter Olympic event. The poll actually found that 32 percent of respondents reported that figure skating was their favorite event. If, for the sake of argument, we assume that 30 percent of Americans (18 years or older) say figure skating is their favorite event (that is, p = .3), calculate the probability of observing a sample proportion of .32 or more: that is P(p> or – .32).

b. Based on the probability you computed in part a, would you conclude that more than 30 percent of Americans (18 years or older) say that figure skating is their favorite Winter Olympic event?

Question

The TJ Company claims they put 12 ounces in their can of baked beans. However, a consumer watch group believes that the TJ company is cheating customers by putting less than 12 ounces in their cans of baked beans. A random sample of 20 cans of baked beans is picked by the consumer group and it is found that the sample mean is 11.85 ounces with a standard deviation of .12 ounces. Is there sufficient evidence to support the consumer’s group’s claim? What is the Type I Error and Type II error in words?