Question:

In 1975, a random sample of 1484 adult U.S. citizens were surveyed and 193 strongly agreed with the statement "People should take care of themselves." Then in 1991, a survey of 1013 random adult U.S. citizens showed that only 61 agreed with the same statement. Does this indicate that the proportion of all adult U.S. citizens who agree with this statement has dropped? A 2 proportion z test was conducted (1984 minus 1991) and a P-value was found to be P - 7.2 x 10 . What does this P-value mean in the context of the situation? Given that the proportion of adult U.S. citizens agreeing with this statement was the same between 1975 and 1991. there is a probability of 7.2 x 10 9 of getting a sample difference of 7 percent or greater. O P = 7.2 x 10 9 is the probability that the two proportions are the same (the null hypothesis being true). There is a probability of 7.2 x 10 " of getting a sample difference of 7 percent or greater. You should reject the null hypothesis because P is small