Hypothesis tests are proposed. For each hypothesis test. a....

Hypothesis tests are proposed. For each hypothesis test. a. identify the variable. b. identify the two populations. c. determine the null and alternative hypotheses. d. classify the hypothesis test as two tailed, left tailed, or right tailed. Driving Distances. Data on household vehicle miles of travel (VMT) are compiled annually by the Federal Highway Administration and are published in National IIlousehold Travel Survey, Summary of Travel Trends. A hypothesis test is to be performed to decide whether a difference exists in last year's mean VMT for households in the Midwest and South.

Hypothesis tests are proposed. For each hypothesis test.
a. identify the variable.
b. identify the two populations.
c. determine the null and alternative hypotheses.
d. classify the hypothesis test as two tailed, left tailed, or right tailed.
Driving Distances. Data on household vehicle miles of travel (VMT) are compiled annually by the Federal Highway Administration and are published in National IIlousehold Travel Survey, Summary of Travel Trends. A hypothesis test is to be performed to decide whether a difference exists in last year's mean VMT for households in the Midwest and South.

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Key Concepts

Type of Test (Tail Directionality)

Test tail or directionality refers to whether the hypothesis test is one-tailed or two-tailed. A two-tailed test is used when differences in either direction (greater or less) from the stated hypothesis are considered significant, whereas a one-tailed test examines only one direction of the difference.

Variable

The variable in hypothesis testing is the measurable attribute or outcome under investigation. It represents the key data point that is being compared or analyzed across groups or conditions, such as the household vehicle miles traveled.

Populations

Populations refer to the entire groups from which independent samples are drawn. In comparative hypothesis testing, two populations are examined to determine if there is a statistically significant difference in the variable of interest between them.

Null and Alternative Hypotheses

The null hypothesis is a default position that assumes no effect or no difference between populations, while the alternative hypothesis suggests that there is an effect or a difference. These hypotheses provide a framework for evaluating whether observed data are consistent with the assumption of no difference or if they indicate a significant variation.

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