A student is considering publishing a new magazine aimed directly at owners of J

Question

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. Choose the correct answer below. 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 42.2% plusminus 1.96 times 3.7%. That is, it's between 34.9% and 49.5%. It is probably true that 42.2% of all cars in the United States are made in Japan. We are 95% confident that between 34.9% and 49.5% of cars in the United States are made in Japan. 42.2% of all cars in the United States are made in Japan.

Explanation / Answer

As we have 95% confidence, then we can generalize that

OPTION C: We are 95% confident that between 34.9% and 49.5% of cars in the US are made in Japan. [ANSWER]

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