You will perform a Chi-Square test and an ANOVA test. For each hypothesis test make sure to report the following steps:
Identify the null hypothesis, Ho, and the alternative hypothesis, Ha.
Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
Find the critical value(s) and identify the rejection region(s).
Find the appropriate standardized test statistic. If convenient, use technology.
Decide whether to reject or fail to reject the null hypothesis.
Interpret the decision in the context of the original claim.
1. A researcher wants to determine whether the time spent online per day is related to gender. A random sample of 315 adults was selected and the results are shown below. Test the hypothesis that the time spent online per day is related to gender. Use α = 0.05.
Resource: The Chi-Square, Independence
|
Time spent online per day (minutes) |
|||
0-30 |
30-60 |
60-90 |
90+ |
|
Male |
25 |
35 |
75 |
45 |
Female |
30 |
45 |
45 |
15 |
2. A researcher wishes to determine whether there is a
difference in the average age of elementary school, high school,
and community college teachers. Teachers are randomly selected from
each group. Their ages are recorded below. Test the claim that at
least one mean is different from the others. Use α = 0.01.
Resource: The One-Way ANOVA
Elementary School Teachers |
High School Teachers |
Community College Teachers |
23 |
41 |
39 |
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