Question

Suppose a quantitative variable is normally distributed in the population. We conduct a t-test for a population mean with the following hypotheses.H 0: μ = 50H a: μ ≠ 50A sample of size 30 has a t-statistic of − 2.43. Find P-value

Answer 1

The calculated value of the p-value is 0.0215

How to determine the p-value

From the question, we have the following parameters that can be used in our computation:

Sample size, n = 30

Start by calculating the degrees of freedom using

df = n - 1

Where n is the sample size.

So, we have

df = 30 - 1

df = 29

Since the alternative hypothesis (Ha) is μ ≠ 50, this is a two-tailed test.

We can use a t-distribution table to find the two-tailed P-value for a t-statistic of -2.43 and df = 29.

Using the t-distribution table , we find that the two-tailed P-value is approximately 0.0215.

Hence, the p-value is 0.0215