education

Using confidence intervals to test hypotheses Confidence intervals can be used to test hypotheses. Specifically, it can be proven that we can reject H0: μ = μ0 in favor of Ha: μ ≠ μ0 by setting the probability of a Type I error equal to α if and only if the 100(1 − α) percent confidence interval […]

Define the test statistic and assume that the population sampled is normally distributed, or that the sample size n is large. We can test H0: μ = μ0 versus a particular alternative hypothesis at level of significance α by using the appropriate critical value rule, or, equivalently, the corresponding p-value. Place Your Order Here!

Using a critical value rule: 4 Determine the critical value rule for deciding whether to reject H0. Use the specified value of α to find the critical value in the critical value rule. 5 Collect the sample data and compute the value of the test statistic. 6 Decide whether to reject H0 by using the

A summary of the seven steps of hypothesis testing For almost every hypothesis test discussed in this book, statisticians have developed both a critical value rule and a p-value that can be used to perform the hypothesis test. Furthermore, it can be shown that for each hypothesis test the p-value has been defined so that

Comparing the critical value and p-value methods Thus far we have considered two methods for testing H0: μ = 50 versus Ha: μ > 50 at the .05 and .01 values of α. Using the first method, we determine if the test statistic value z = 2.20 is greater than the critical values z.05 =

Collect the sample data and compute the value of the test statistic. In the trash bag case, we have computed the value of the test statistic to be z = 2.20. Step 5: Calculate the p-value by using the test statistic value. The p-value for testing H0: μ = 50 versus Ha: μ > 50

Interpret the statistical results in managerial (real-world) terms and assess their practical importance Interpret the statistical results in managerial (real-world) terms and assess their practical importance. Since we have rejected H0: μ = 50 in favor of Ha: μ > 50 by setting α equal to .05, we conclude (at an α of .05) that

Decide whether to reject H0 by using the test statistic value and the critical value \Decide whether to reject H0 by using the test statistic value and the critical value rule. Since the test statistic value z = 2.20 is greater than the critical value z.05 = 1.645, we can reject H0: μ = 50

Collect the sample data and compute the value of the test statistic Collect the sample data and compute the value of the test statistic. When the sample of n = 40 new trash bags is randomly selected, the mean of the breaking strengths is calculated to be . Assuming that σ is known to equal

Determine the critical value rule for deciding whether to reject H0 Determine the critical value rule for deciding whether to reject H0. To decide how large the test statistic z must be to reject H0 in favor of Ha by setting the probability of a Type I error equal to α, we note that different