Not sure if I\'m right. How do I show my work? A test of a null hypothesis versu

Question

Not sure if I'm right. How do I show my work?

A test of a null hypothesis versus a two-sided alternative gives t = 2.22. The sample size is 18. Is the test result significant at the 5% level? Explain how you obtain your answer. The test results are not significant at the 5% level since the P-value is less than 0.05. The test results are significant at the 5% level since the P-value is between 0.01 and 0.02. The test results are significant at the 5% level since the P-value is 0.0403. The test results are not significant at the 5% level since the P-value, 0.02

Explanation / Answer

Step - 1:

Two tailed test

Degrees of freedom = n - 1 = 18 - 1 = 17

t = 2.22

So,

p - value = 2*P(t > 2.22) = 2*0.0202 = 0.0403

Hence,

Option C is correct.

Step - 2:

Two tailed test

Degrees of freedom = n - 1 = 9 - 1 = 8

t = 2.22

So,

p - value = 2*P(t > 2.22) = 2*0.0286 = 0.0572

Hence,

Option A is correct.

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