Question

This Question: 1 pt 8 of 10 (0 complete) This Quiz: 10 pts possible A student is considering publishing a new magazine aimed directly at owners of Japanese automobiles. He wants to estimate the fraction of cars in the United States that are made in Japan. The computer output to the right summarizes the results of a random sample of 50 autos. Explain carefully what it tells you. 2-interval for proportion With 95 % co n dence 0.32117652 <p(japan)0.46637676 Choose the correct answer below. 0 A, 39.4% of all cars in the United States are made in Japan. ( B. We are 95% confident that between 32.1% and 46.6% of cars in the United States are made in Japan. ° C. We don't know exactly what proportion of cars in the United States are made in Japan, but we know that it's within the interval 39.4%士1.96 x 3.7%. That is, it's between 32.1% and 46.6%. D. It is probably true that 39.4% of all cars in the United States are made in Japan.

Answer 1

Given that, 95% confidence interval for population proportion is

General interpretation of confidence interval is, if we perform same experiment large number of times and compute confidence interval for each sample then we observed that the true population proportion lies between 32.1% and 46.6% at confidence level 95%

i.e. we are 95% confident that the between 32.1% and 46.6% of cars in the united states are made in Japan.

Option B ) is correct.