Question

A one­sided test of a hypothesis, based on a sample of size 9, yields a P­value of .035. Which of the following best describes the possible range of t values that yields this P­value?

.706 < t < .889

1.11 < t < 1.40

1.34 < t < 1.44

2.45 < t < 2.90

1.86 < t < 2.31

Answer 1

Answer:

1.86 < t < 2.31

Step-by-step explanation:

given that a one­sided test of a hypothesis, based on a sample of size 9, yields a P­value of .035.

Since one tailed test we have one side shaded rejection region

Sample size = 9

Degree of freedom = 9-1 =8

For df 8, for one tailed we find test statistic is 2.090

The interval containing this is only

1.86<t<2.31

Hence the best choice for possible range of t values that yields this p value is

1.86 < t < 2.31