A research group conducted a study of the effectiveness of educational software. In one phase of the study, a sample of 1,527 first-grade students in classrooms that used educational software was compared to a sample of 1,147 first-grade students in classrooms that did not use the technology. In its report, the group concluded that "mean test scores were not significantly higher in classrooms using reading software products" than in classrooms that did not use educational software. Complete parts a through c below. a. Identify the parameter of interest to the research group. Let the first group be the 1,527 first-grade students who used the software, and the second group be the 1,147 first-grade students who did not use the software. The parameter of interest is H1 - H2. b. Specify the null and alternative hypotheses for the test conducted by the group. = 0 > 0 c. The p-value for the test was reported as 0.66. Based on this value, do you agree with conclusion of the research group? Explain. Yes; the researchers claimed that there was a difference in the mean test scores of the two groups. Since the p-value is large, do not reject the null hypothesis and side with the conclusion of the research group. was a was no

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Only part c) The options are Yes/ no Was a/ was no Small/large Do not reject/ reject Side/ do not side
**Effectiveness of Educational Software Study**

A research group conducted a study to evaluate the effectiveness of educational software. In one phase of the study, a sample of 1,527 first-grade students in classrooms that used educational software was compared to a sample of 1,147 first-grade students in classrooms that did not use the technology. In its report, the group concluded that "mean test scores were not significantly higher in classrooms using reading software products" than in classrooms that did not use educational software. Complete parts a through c below.

**a. Identify the parameter of interest to the research group. Let the first group be the 1,527 first-grade students who used the software, and the second group be the 1,147 first-grade students who did not use the software.**

The parameter of interest is \( \mu_1 - \mu_2 \).

**b. Specify the null and alternative hypotheses for the test conducted by the group.**

\[ H_0: \mu_1 - \mu_2 = 0 \]

\[ H_1: \mu_1 - \mu_2 > 0 \]

**c. The p-value for the test was reported as 0.66. Based on this value, do you agree with the conclusion of the research group? Explain.**

Yes, the researchers claimed that there was no difference in the mean test scores of the two groups. Since the p-value is large, do not reject the null hypothesis and side with the conclusion of the research group.

### Explanation of the Diagram
The provided text does not contain any graphs or diagrams. The text discusses the parameters and hypotheses for a statistical test and reports a p-value derived from the test.
Transcribed Image Text:**Effectiveness of Educational Software Study** A research group conducted a study to evaluate the effectiveness of educational software. In one phase of the study, a sample of 1,527 first-grade students in classrooms that used educational software was compared to a sample of 1,147 first-grade students in classrooms that did not use the technology. In its report, the group concluded that "mean test scores were not significantly higher in classrooms using reading software products" than in classrooms that did not use educational software. Complete parts a through c below. **a. Identify the parameter of interest to the research group. Let the first group be the 1,527 first-grade students who used the software, and the second group be the 1,147 first-grade students who did not use the software.** The parameter of interest is \( \mu_1 - \mu_2 \). **b. Specify the null and alternative hypotheses for the test conducted by the group.** \[ H_0: \mu_1 - \mu_2 = 0 \] \[ H_1: \mu_1 - \mu_2 > 0 \] **c. The p-value for the test was reported as 0.66. Based on this value, do you agree with the conclusion of the research group? Explain.** Yes, the researchers claimed that there was no difference in the mean test scores of the two groups. Since the p-value is large, do not reject the null hypothesis and side with the conclusion of the research group. ### Explanation of the Diagram The provided text does not contain any graphs or diagrams. The text discusses the parameters and hypotheses for a statistical test and reports a p-value derived from the test.
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