We test the hypothesis for the population mean that H 0 : m=0 vs. H A : m0. Supp

Question

We test the hypothesis for the population mean that H0: m=0 vs. HA: m0. Suppose the unknown true value of m is 5 and the unknown population standard deviation is 5. We collected a random sample of size n=9, and calculated the p-value from the one sample two-sided t test as p1. Then we added an outlier of value “-20” in this data sample (so the new sample size is n+1=10) and calculated the p-value as p2. Which one of the following is correct? Explain why.

a)p2 is likely to be less than p1

b)p2 is likely to be greater than p1

c)p2 must be the same as p1

d)P(p2 p1) and P(p2 p1) must be comparable

Explanation / Answer

As we are adding an outlier here which will in fact strengthen the fact that the mean is not equal to 0, therefore the test will be more significant and therefore the p-value should be even lower.

Therefore p2 is expected to be lower than p1 as after adding outlier it becomes more significant and therefore we get more reasons to reject the null hypotheses.

Therefore a) is the correct answer here.

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

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