A medical researcher wants to determine if the average hospital stay of patients

Question

A medical researcher wants to determine if the average hospital stay of patients that undergo a certain procedure is less than 6.7 days. The hypotheses for this scenario are as follows: Null Hypothesis: 6.7, Alternative Hypothesis: < 6.7. If the actual mean is 2.3 days and the null hypothesis is rejected, did a type I, type II, or no error occur?

Question 16 options:

1)

2)

3)

4)

5)

1)

We do not know the degrees of freedom, so we cannot determine if an error has occured.

2)

We do not know the p-value, so we cannot determine if an error has occured.

3)

No error has occured.

4)

Type I Error has occured.

5)

Type II Error has occured

Explanation / Answer

We rejected the null hypothesis even though it was true we have conducted type 1 error. thus option 4 is correct

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