Question

A medical researcher wants to determine if the average hospital stay of patients that undergo a certain procedure is different from 5.2 days. The hypotheses for this scenario are as follows: Null Hypothesis: μ = 5.2, Alternative Hypothesis: μ ≠ 5.2. If the researcher takes a random sample of patients and calculates a p-value of 0.0086 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.

Answer 1

solution:

this is the two tailed test .  

The null and alternative hypothesis is ,

H0 :   = 5.2

Ha :    5.2

P-value =  0.0086

= 5%= 0.05  

P-value <

Reject the null hypothesis .

There is sufficient evidence to suggest that   Reject the null hypothesis