contestada

The test statistic of z= -2.39 is obtained when testing the claim that p<0.52.
a. Using a significance level of 0.05 ​, find the critical​ value(s).
b. Should we reject H0 or should we fail to reject H0​?

Respuesta :

Considering the situation described, we have that:

a) The critical value is of z = -1.645.

b) Since the test statistic is less than the critical value, we should reject the null hypothesis H0.

What is the critical value?

We have a left-tailed test, as we are testing if the proportion is less than a value. Hence the critical value is z with a p-value equals to the significance level, hence z with a p-value of 0.05, hence z = -1.645.

What is the decision?

Considering the test statistic, for a left-tailed test, we have that:

  • Less than the critical value: Reject H0.
  • Equal or greater: Do not reject.

In this problem, z = -2.39 is less than -1.645, hence we should reject the null hypothesis H0.

More can be learned about the test of an hypothesis at https://brainly.com/question/13873630

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