The Consumer Product Safety Commission regulates products sold for use with children. An investigator is tasked with determining whether a male child will get sick after being exposed to a certain brand of house paint than a female child. Data was collected that on 1854 children between the ages one and four, all of whom were exposed to the same brand of house paint. 985 were boys, while 869 were girls. Determine a 95% confidence interval for the difference in proportions of male and female children, ages one to four, who will get sick. Round to four decimal places. With % confidence, it can be concluded that the difference in proportions of between male and female children, ages one to four, who get sick after being exposed to this brand of house paint is (p1 - p2) is between BLANK and BLANK .

On April 15th, 1912, the R.M.S. Titanic sank into the North Atlantic Ocean, resulting in the loss of more than 1,500 passengers and crew. Below is a table which summarizes the total number of passengers and the number of survivors for the crew, first-, second-, and third-class. Find the proportion of survivors by type of service (crew, first, second, third). Test the hypothesis at the 99% confidence level that the proportion of first-class survivors is the same as third class (.25).What do you calculate for the test-statistic? What is the critical statistic? What is the conclusion of your hypothesis test?          Passengers   survivedCrew         885         212First          325         202Second     285         118Third         706         178Total        2201         710

A Gallup poll of 1487 adults showed that 43% of the respondents have Facebook pages.  Construct a 95% confidence interval for the proportion of adults who have a Facebook page.

The figure to the right shows the results of a survey in which 1018 adults from Country​ A, 1025 adults from Country​ B, 1005 adults from Country​ C, 999 adults from Country​ D, and 999 adults from Country E were asked whether national identity is strongly tied to birthplace. Construct a 95​% confidence interval for the population proportion of adults who say national identity is strongly tied to birthplace for each country listed. The 95​% confidence interval for the proportion of adults from Country A who say national identity is strongly tied to birthplace is (____),(____) The 95​% confidence interval for the proportion of adults from Country B who say national identity is strongly tied to birthplace is (____),(____) The 95​% confidence interval for the proportion of adults from Country C who say national identity is strongly tied to birthplace is (____),(____) The 95​% confidence interval for the proportion of adults from Country D who say national identity is strongly tied to…