A teacher claims that her students' test scores are getting more consistent and now have a lower variation than 2.31, the variation in previous terms. She conducts a hypothesis test. She calculates her test statistic to be x2 = 15.91 She looks up the critical value for this test and finds it to be = 11.232. What can she conclude? Hint: Set-up Ho and H, first , draw a sketch and read the answer choices carefully! O A. The test statistic falls in the critical (rejection) region for this test. Therefore, there is sufficient evidence to support her claim. O B. The test statistic falls in the critical (rejection) region for this test. Therefore, there is not sufficient evidence to support her claim. O C. The test statistic does not fall in the critical (rejection) region for this test. Therefore, there is sufficient evidence to support her claim. O D. The test statistic does not fall in the critical (rejection) region for this test. Therefore, there is not sufficient evidence to support her claim

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A teacher claims that her students' test scores are getting more consistent and now have a lower variation than 2.31, the variation in previous terms. She conducts a hypothesis test.

She calculates her test statistic to be χ² = 15.91. She looks up the critical value for this test and finds it to be χ² = 11.232. What can she conclude? Hint: Set up H₀ and H₁ first, draw a sketch, and read the answer choices carefully!

- A. The test statistic falls in the critical (rejection) region for this test. Therefore, there is sufficient evidence to support her claim.
- B. The test statistic falls in the critical (rejection) region for this test. Therefore, there is not sufficient evidence to support her claim.
- C. The test statistic does not fall in the critical (rejection) region for this test. Therefore, there is sufficient evidence to support her claim.
- D. The test statistic does not fall in the critical (rejection) region for this test. Therefore, there is not sufficient evidence to support her claim.
Transcribed Image Text:A teacher claims that her students' test scores are getting more consistent and now have a lower variation than 2.31, the variation in previous terms. She conducts a hypothesis test. She calculates her test statistic to be χ² = 15.91. She looks up the critical value for this test and finds it to be χ² = 11.232. What can she conclude? Hint: Set up H₀ and H₁ first, draw a sketch, and read the answer choices carefully! - A. The test statistic falls in the critical (rejection) region for this test. Therefore, there is sufficient evidence to support her claim. - B. The test statistic falls in the critical (rejection) region for this test. Therefore, there is not sufficient evidence to support her claim. - C. The test statistic does not fall in the critical (rejection) region for this test. Therefore, there is sufficient evidence to support her claim. - D. The test statistic does not fall in the critical (rejection) region for this test. Therefore, there is not sufficient evidence to support her claim.
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