Question 14 (1 point) Question 14 Unsaved A medical researcher wants to determin

Question

Question 14 (1 point) Question 14 Unsaved A medical researcher wants to determine if the average hospital stay of patients that undergo a certain procedure is greater than 9.3 days. The hypotheses for this scenario are as follows: Null Hypothesis: 9.3, Alternative Hypothesis: > 9.3. If the actual mean is 0.5 days and the null hypothesis is rejected, did a type I, type II, or no error occur? Question 14 options: 1) We do not know the p-value, so we cannot determine if an error has occured. 2) Type I Error has occured. 3) Type II Error has occured 4) We do not know the degrees of freedom, so we cannot determine if an error has occured. 5) No error has occured.

Explanation / Answer

Solution

Hypothesis to be tested:

Null Hypothesis (H0): 9.3

Alternative Hypothesis (HA): > 9.3

We have given that the actual mean is 0.5 days and the null hypothesis is rejected. Actual mean (=0.5) is less than 9.3. Hence the null hypothesis must be true.

However with given hypothesis testing procedure, the null hypothesis is rejected.

We know that situations in which null hypothesis is rejected when in fact it is true, type I error occurs.

Therefore we can conclude that while testing whether average hospital stay of patients that undergo a certain procedure is greater than 9.3 days, type I error has occurred.

Hence correct option is –

2) Type I Error has occurred

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.