It is estimated that the average person in the United States uses 123 gallons of

Q: It is estimated that the average person in the United States uses 123 gallons of

If p - value is less than ? then we reject the null hypothesis. Here, p - value < 0.0075 which is ultimately less than 0.01, we should reject the null hypothesis and the environmentalists did reject the null hypotheis. Hence, They made the correct decision.

ID: 3367318 • Letter: I

Question

It is estimated that the average person in the United States uses 123 gallons of water per day. Some environmentalists believe this figure is too high and conduct a survey of 40 randomly selected Americans. They find a mean of 113.03 gallons and a population standard deviation of 25.99 gallons. The environmentalists calculate a p-value for this test statistic at p < .0075, and test the hypothesis at ? = .01. If the environmentalists reject the null hypothesis did they make:

The correct decision?

A Type I error

A Type II error

Explain your answer to a.

Explanation / Answer

If p - value is less than ? then we reject the null hypothesis. Here,

p - value < 0.0075 which is ultimately less than 0.01, we should reject the null hypothesis and the environmentalists did reject the null hypotheis. Hence,

They made the correct decision.

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It is estimated that the average person in the United States uses 123 gallons of

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