2. Use the following scenario to conduct a hypothesis test. Then use that to answer questions a- g. You would like to determine if the use of a new teaching intervention helps to improve attention in 5- year-old boys. To test this hypothesis, you have separated 35 5-year-old boys into two groups, one with the intervention (treatment group) and the other given normal class time (the control group). You would like to test if the treatment group had longer attention times (in minutes) than the control group. (The significance level of the test is .05) The following are the data for the two groups: Control Group (Group 1) 7 11 6 6 8. 11 14 7 8. 2 Treatment Group (Group 2) 11 12 14 16 18 14 11 8 7 10 11 Answer the following questions to run the hypothesis test. You should use the notation and methods described in the course: a. What test should you run? b. What is the null hypothesis in sentences and symbols? c. What is the alternative hypothesis in sentences and symbols? d. What is the test statistic? Make sure that you also include the correct notation for the statistic (the proper letter in other words). e. What is the p-value for the test? f. Should you reject or fail to reject the null hypothesis. Explain how you know. g. According to your results, was the treatment effective in increasing attention? Explain your 3. 00

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### Conduct a Hypothesis Test

**Scenario:**
You would like to determine if the use of a new teaching intervention helps to improve attention in 5-year-old boys. To test this hypothesis, you have separated 35 5-year-old boys into two groups, one with the intervention (treatment group) and the other given normal class time (the control group). You would like to test if the treatment group had longer attention times (in minutes) than the control group. *(The significance level of the test is .05)*

**Data:**

The following are the data for the two groups:

**Control Group (Group 1):**

| 7  | 9  | 11 | 5  | 6  | 6  | 8  | 3  | 11 | 14 |
|----|----|----|----|----|----|----|----|----|----|
| 7  | 9  | 8  | 3  | 8  | 2  |    |    |    |    |

**Treatment Group (Group 2):**

| 6  | 9  | 11 | 12 | 14 | 6  | 2  | 5  | 6  | 3  |
|----|----|----|----|----|----|----|----|----|----|
| 16 | 18 | 14 | 11 | 8  | 8  | 7  | 10 | 11 |    |

**Instructions:**

Answer the following questions to run the hypothesis test. You should use the notation and methods described in the course:

### Questions:

a. **What test should you run?**

b. **What is the null hypothesis in sentences and symbols?**

c. **What is the alternative hypothesis in sentences and symbols?**

d. **What is the test statistic?** *(Make sure that you also include the correct notation for the statistic - the proper letter in other words).*

e. **What is the p-value for the test?**

f. **Should you reject or fail to reject the null hypothesis?** *(Explain how you know).*

g. **According to your results, was the intervention effective in increasing attention?** *(Explain your reasoning in the context of the test).*
Transcribed Image Text:### Conduct a Hypothesis Test **Scenario:** You would like to determine if the use of a new teaching intervention helps to improve attention in 5-year-old boys. To test this hypothesis, you have separated 35 5-year-old boys into two groups, one with the intervention (treatment group) and the other given normal class time (the control group). You would like to test if the treatment group had longer attention times (in minutes) than the control group. *(The significance level of the test is .05)* **Data:** The following are the data for the two groups: **Control Group (Group 1):** | 7 | 9 | 11 | 5 | 6 | 6 | 8 | 3 | 11 | 14 | |----|----|----|----|----|----|----|----|----|----| | 7 | 9 | 8 | 3 | 8 | 2 | | | | | **Treatment Group (Group 2):** | 6 | 9 | 11 | 12 | 14 | 6 | 2 | 5 | 6 | 3 | |----|----|----|----|----|----|----|----|----|----| | 16 | 18 | 14 | 11 | 8 | 8 | 7 | 10 | 11 | | **Instructions:** Answer the following questions to run the hypothesis test. You should use the notation and methods described in the course: ### Questions: a. **What test should you run?** b. **What is the null hypothesis in sentences and symbols?** c. **What is the alternative hypothesis in sentences and symbols?** d. **What is the test statistic?** *(Make sure that you also include the correct notation for the statistic - the proper letter in other words).* e. **What is the p-value for the test?** f. **Should you reject or fail to reject the null hypothesis?** *(Explain how you know).* g. **According to your results, was the intervention effective in increasing attention?** *(Explain your reasoning in the context of the test).*
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