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 1,012 adults, 18
years and older, conducted February 4-6, 2002.

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 34
percent of a sample of 1,012 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 = .30), calculate the probability of observing a sample proportion of .34 or more; that is, calculate P( >.34). (Round standard deviation and probability answers to 4 decimal places. Round z-values to 2 decimal places.)