Question Help ▼ Summary statistics for the scores of the 27 students who completed a Dental Anxiety Scale questionnaire are x= 10.5 and s= 3.3, Scores range from 0 (no anxiety) to 20 (extreme anxiety). Conduct a test of hypothesis to determine whether the mean Dental Anxiety Scale score for the population of college students differs from u = 11. Use a = 0.05. State the null and alternative hypotheses. Choose the correct answer below. YA. Ho: H= 11 versus H: u 11 O B. Ho: H# 11 versus H: u=11 O C. Ho: H= 11 versus Ho: u>11 The test statistic for this small-sample test of a population mean is -0.79. (Round to two decimal places as needed.) Find the rejection region. Choose the correct answer below. O A. t> - 2.056 and t<2.056 O B. t< -2.056 OC. t>2.056 O D. t< -2.056 or t>2.06
Question Help ▼ Summary statistics for the scores of the 27 students who completed a Dental Anxiety Scale questionnaire are x= 10.5 and s= 3.3, Scores range from 0 (no anxiety) to 20 (extreme anxiety). Conduct a test of hypothesis to determine whether the mean Dental Anxiety Scale score for the population of college students differs from u = 11. Use a = 0.05. State the null and alternative hypotheses. Choose the correct answer below. YA. Ho: H= 11 versus H: u 11 O B. Ho: H# 11 versus H: u=11 O C. Ho: H= 11 versus Ho: u>11 The test statistic for this small-sample test of a population mean is -0.79. (Round to two decimal places as needed.) Find the rejection region. Choose the correct answer below. O A. t> - 2.056 and t<2.056 O B. t< -2.056 OC. t>2.056 O D. t< -2.056 or t>2.06
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![**Hypothesis Testing in Dental Anxiety Scale**
Summary statistics for the scores of 27 students who completed a Dental Anxiety Scale questionnaire are as follows: the mean score (\(\bar{x}\)) is 10.5, and the standard deviation (s) is 3.3. Scores range from 0 (no anxiety) to 20 (extreme anxiety). Conduct a hypothesis test to determine whether the mean Dental Anxiety Scale score for the population of college students differs from \(\mu = 11\). Use \(\alpha = 0.05\).
**State the Null and Alternative Hypotheses:**
Select the correct answer below.
A. \(H_0\): \(\mu = 11\) versus \(H_a\): \(\mu \neq 11\)
B. \(H_0\): \(\mu \neq 11\) versus \(H_a\): \(\mu = 11\)
C. \(H_0\): \(\mu = 11\) versus \(H_a\): \(\mu > 11\)
*Correct Answer: A. \(H_0\): \(\mu = 11\) versus \(H_a\): \(\mu \neq 11\)*
**Test Statistic:**
The test statistic for this small-sample test of a population mean is
\[ t = \frac{\bar{x} - \mu}{s/\sqrt{n}} = 0.79 \]
(Round to two decimal places as needed.)
**Rejection Region:**
Choose the correct answer below.
A. \( t > -2.056 \text{ and } t < 2.056 \)
B. \( t < -2.056 \)
C. \( t > 2.056 \)
D. \( t < -2.056 \text{ or } t > 2.056 \)
*Correct Answer: D. \( t < -2.056 \text{ or } t > 2.056 \)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05cf7d90-82b1-4600-90af-c1fd169002d7%2F36a5e4ac-c59a-49fc-b450-a53870a943c0%2F4997w1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing in Dental Anxiety Scale**
Summary statistics for the scores of 27 students who completed a Dental Anxiety Scale questionnaire are as follows: the mean score (\(\bar{x}\)) is 10.5, and the standard deviation (s) is 3.3. Scores range from 0 (no anxiety) to 20 (extreme anxiety). Conduct a hypothesis test to determine whether the mean Dental Anxiety Scale score for the population of college students differs from \(\mu = 11\). Use \(\alpha = 0.05\).
**State the Null and Alternative Hypotheses:**
Select the correct answer below.
A. \(H_0\): \(\mu = 11\) versus \(H_a\): \(\mu \neq 11\)
B. \(H_0\): \(\mu \neq 11\) versus \(H_a\): \(\mu = 11\)
C. \(H_0\): \(\mu = 11\) versus \(H_a\): \(\mu > 11\)
*Correct Answer: A. \(H_0\): \(\mu = 11\) versus \(H_a\): \(\mu \neq 11\)*
**Test Statistic:**
The test statistic for this small-sample test of a population mean is
\[ t = \frac{\bar{x} - \mu}{s/\sqrt{n}} = 0.79 \]
(Round to two decimal places as needed.)
**Rejection Region:**
Choose the correct answer below.
A. \( t > -2.056 \text{ and } t < 2.056 \)
B. \( t < -2.056 \)
C. \( t > 2.056 \)
D. \( t < -2.056 \text{ or } t > 2.056 \)
*Correct Answer: D. \( t < -2.056 \text{ or } t > 2.056 \)*
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