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Suppose you carry out a significance test of H0: μ = 7 versus Ha: μ ≠ 7 based on sample size n = 28 and obtain t = 1.45. Find the p-value for this test. What conclusion can you draw at the 5% significance level? Explain.

Respuesta :

Considering the given test, the p-value is of 0.1586, and the null hypothesis is not rejected at the 5% significance level.

What is the relation between the p-value and the decision?

It depends it is less or greater than the critical value.

  • If it is less, the null hypothesis is rejected.
  • If it is more, the null hypothesis is not rejected.

In this problem, we use a t-distribution calculator, with t = 1.45, 27 df and a two-tailed test, as we are testing if the mean is different of a value. Doing it, the p-value is of 0.1586.

Since it is greater than 0.05, the null hypothesis is not rejected at the 5% significance level.

More can be learned about p-values at https://brainly.com/question/26454209

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