Question

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

Answer 1

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