In testing the hypotheses H₀: μ = 50 vs.H₁: μ < 50,we found that the standardized test statistic is z = −1.59.Calculate the p-value,and state your conclusion if α = .025.

Standardized Test

A test that is administered and scored in a consistent manner to ensure legal defensibility and fairness in measuring educational or cognitive abilities.

Test Statistic

A numerical value calculated from a statistical test's sample data, used to determine whether to reject the null hypothesis in the context of the test.

P-value

A measure in statistics that helps to determine the strength of the results in hypothesis testing, indicating the probability of observing data at least as extreme as the data actually observed, under the assumption that the null hypothesis is true.

Derive p-values and clarify their interpretations in hypothesis testing environments.
Conduct assessment of test statistics for hypothesis scrutiny.

Verified Answer

Francisco LópezMay 12, 2024

Final Answer :

p-value = 0.0559 > α.Fail to reject H₀.Insufficient evidence to say the population mean is less than 50.

Learning Objectives

Derive p-values and clarify their interpretations in hypothesis testing environments.
Conduct assessment of test statistics for hypothesis scrutiny.

In testing the hypotheses H₀: μ = 50 vs.H₁: μ < 50,we found that the standardized test statistic is z = −1.59.Calculate the p-value,and state your conclusion if α = .025.

Definitions

Learning Objectives

Learning Objectives

Related questions

In testing the hypotheses H0: μ = 50 vs.H1: μ < 50,we found that the standardized test statistic is z = −1.59.Calculate the p-value,and state your conclusion if α = .025.

Definitions

Learning Objectives

Learning Objectives

Related questions

In testing the hypotheses H₀: μ = 50 vs.H₁: μ < 50,we found that the standardized test statistic is z = −1.59.Calculate the p-value,and state your conclusion if α = .025.