Question

Gallup reported that 67% of adults in Latin America believe that global warming is a serious threat to themselves and their family. Let’s assume this value represents the population proportion. Now imagine that a researcher surveys a random sample of 150 adults in Latin America, asking about their beliefs on global warming, and 81 responded that it was a serious threat.

(a)If samples of size 150 are taken, find the mean and standard error of the resulting sampling distribution of sample proportions.

(b)Find the Z-score (standard score) of the sample proportion.

(c)Calculate the probability that in a random sample of 150 adults in Latin America, 81 or fewer will say that global warming is a serious threat.

Answer 1