A test statistic is found to have a P-value of .015. Which of the following statements are true?

I. This finding is significant at the .05 level of significance.
II. This finding is significant at the .01 level of significance.
III. The probability of getting a test statistic as extreme (or more extreme) as this one by chance alone is .015.

a. I and III only
b. I only
c. II only
d. III only
e. I and II only

Respuesta :

Answer:

Option a) I and III only

Step-by-step explanation:

given that a test statistic is found to have a P-value of .015.

In hypothesis testing after finding out test statistic as difference between hypothesises mean and sample mean divided by standard error of sample we find out p value.

Significance level, known as alpha is fixed as 5% or 1% or 10% depending on the matter of interest

If p value calculated is less than our significance level i.e. alpha we reject null hypothesis

Here p = 0.015 is less than 5% and 10% but greater than 1%

So we reject at 5% and 10% level and but accept at 1% level

Correct options would be:

I. This finding is significant at the .05 level of significance.

III. The probability of getting a test statistic as extreme (or more extreme) as this one by chance alone is .015

Option a) I and III only