In: Statistics and Probability
In May 2018, the Gallup surveyed 1,024 American adults and found that 60 percent believed abortion should be legal within the first trimester of pregnancy. In 1996, Gallup asked the same question among 550 adults and found that 64 percent believed abortion should be legal within the first trimester of pregnancy.
a) Find the 95 percent confidence interval of the population
proportion of adult Americans that support legal abortion within
the first trimester of pregnancy in 2018.
b) Using ? = 0.01, derive and evaluate the rejection rule where the
null hypothesis is that attitudes towards abortion have not changed
from 1996 to 2018 against a two-sided alternative.