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The State Board of Education in Georgia is considering introducing a new initiative to boost the reading levels of fourth graders. The current population mean reading level of a fourth grader is 800 points. To assess the impact of the initiative, the developers were given permission to pilot their ideas in the classrooms of several area elementary schools. At the end of the pilot, a sample of 1000 fourth graders produced an average reading level of 856 points with a population standard deviation of 98. Using a 0.05 level of significance, test the claim the new initiative will increase the mean reading levels of fourth graders from 800 points.

• What is the null hypothesis? A. Ho: 800 b. Ho: = 800 C. Ho: 800
• What is the alternative hypothesis? A. Ha: < 800 B. Ha: 800 C. Ha: > 800
• What is the test statistic? Round the answer to two decimal places.
• What is the p-value? Round the nearest whole number.
• What is the conclusion when you compare the p-value and the level of significance (alpha)? a. Reject the null hypothesis b. Fail to reject the null hypothesis
• What is the conclusion based on the original claim? A. At the 0.05 level of significance,the new initiative did increase the mean reading level of the fourth graders. B. At the 0.05 level of significance, the new initiative did not increase the mean reading level of the fourth graders.