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Problem 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

Problem You will perform aChi-Square testand anANOVAtest. For each hypothesis test make sure to report the following steps:

  1. Identify the null hypothesis, Ho, and the alternative hypothesis, Ha.
  2. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
  3. Find the critical value(s) and identify the rejection region(s).
  4. Find the appropriate standardized test statistic. If convenient, use technology.
  5. Decide whether to reject or fail to reject the null hypothesis.
  6. Interpret the decision in the context of the original claim.

A sociologist believes that the levels of educational attainment of homeless persons are not uniformly distributed. To test this claim, you randomly survey 100 homeless persons and record the educational attainment of each. The results are shown in the following table. At = 0.10, is there evidence to support the sociologist's claim that the distribution is not uniform?

Resource: The Chi-Square, Goodness-of-Fit

Resource: The Chi-Square, Independence

Response Frequency, f
Less than high school 38
High school graduate/GED 34
More than high school 28

2. A medical researcher wishes to try three different techniques to lower blood pressure of patients with high blood pressure. The subjects are randomly selected and assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of six weeks, each subject's blood pressure is recorded. Test the claim that there is no difference among the means. Use = 0.05.

Resource: The One-Way ANOVA

Group 1 Group 2 Group 3
11 12 13 15 9 8 8 2 3 5 4 0 6 12 4 8 9 4

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