Which of the following statements ARE CORRECT about hypothesis tests we cover in Stats I? Select...

Which of the following statements ARE CORRECT about hypothesis tests we cover in Stats I? Select all that apply!

Question 3 options:

	We use the t-distribution when we conduct a hypothesis test about a population mean.
	Researchers get to choose the significance level. A few popular choices are 10%, 5% and 1%. However, it is not possible to choose 0%!
	The Rejection Region approach and the p-value approach always agree. Meaning, our conclusion concerning whether or not to reject Ho would be the same regardless of which method we use.
	We use the normal distribution when we conduct a hypothesis test about a population mean.
	We use the normal distribution when we conduct a hypothesis test about a population proportion.
	We use the t-distribution when we conduct a hypothesis test about a population proportion.

Expert Solution

When population variance is known then z statistic is used for conducting a hypothesis test about a population mean. So the statement "We use the t-distribution when we conduct a hypothesis test about a population mean" is true when population variance is unknown.

"We use the t-distribution when we conduct a hypothesis test about a population proportion." is wrong statement. Because under cetain condition, we use normal distribution in this situation.

If np>10, np(1-p)>10, where, p=proportion of success and n=no. of trials then we use the normal distribution when we conduct a hypothesis test about a population proportion. So the statement "We use the normal distribution when we conduct a hypothesis test about a population proportion." is not always true.

So the correct statements are:

1. The Rejection Region approach and the p-value approach always agree. Meaning, our conclusion concerning whether or not to reject Ho would be the same regardless of which method we use.

2. Researchers get to choose the significance level. A few popular choices are 10%, 5% and 1%. However, it is not possible to choose 0%!

3. We use the normal distribution when we conduct a hypothesis test about a population mean.

orchestra answered 2 years ago

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