Do teachers find their work rewarding and satisfying? An article reports the results of a survey of 399 elementary school teachers and 264 high school teachers. Of the elementary school teachers, 223 said they were very satisfied with their jobs, whereas 127 of the high school teachers were very satisfied with their work. Estimate the difference between the proportion of all elementary school teachers who are satisfied and all high school teachers who are satisfied by calculating a 95% CI. (Use pelementary − phigh school.

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic.   Suppose a sample of 1164 new car buyers is drawn. Of those sampled, 325 preferred foreign over domestic cars. Using the data, estimate the proportion of new car buyers who prefer foreign cars. Enter your answer as a fraction or a decimal number rounded to three decimal places.

A software company is interested in improving customer satisfaction rate from the 51% currently claimed. The company sponsored a survey of 157 customers and found that 89 customers were satisfied.

Suppose a sample of 830830 Americans over 4141 is drawn. Of these people, 673673 don't smoke. Using the data, estimate the proportion of Americans over 4141 who smoke. Enter your answer as a fraction or a decimal number rounded to three decimal places.

Do teachers find their work rewarding and satisfying? An article reports the results of a survey of 398 elementary school teachers and 267 high school teachers. Of the elementary school teachers, 222 said they were very satisfied with their jobs, whereas 128 of the high school teachers were very satisfied with their work. Estimate the difference between the proportion of all elementary school teachers who are satisfied and all high school teachers who are satisfied by calculating a 95% CI. (Use pelementary − phigh school. Round your answers to four decimal places.)        ,      Interpret your 95% confidence interval. We are 95% confident that the difference between the proportions of elementary school teachers who are satisfied and high school teachers who are satisfied falls above the upper bound.We are 95% confident that the difference between the proportions of elementary school teachers who are satisfied and high school teachers who are satisfied falls below the…

Oliver Queen is able to hit the bull's-eye (center of the target) 85% of the time. If he shoots 25 arrows, what is the probability that he hits the bull's-eye exactly 12 times? Assume each shot is independent of the others.   Don't forget to identify the values of n, x, p, and q before computing. If the rate is given to you as a percent, remember to convert to decimal before using as your value for p. Use the binomial probability formula and write your answer as a decimal rounded to four places.