Question 6: The state of Ohio Department of Education has a mandated 9th grade p

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Question 6: The state of Ohio Department of Education has a mandated 9th grade proficiency test that covers mathematics. We have the data on the success rates (defined as the percentage of students passing) in school districs in the greater Cincinnati metro area along with state averages. If we tested the null hypothesis that the average score in the Cincinnati area is equal to the state average in mathematics and ended up with the following results what would you say about the null. Do we reject or fail to reject it? Why? t Test for Hypothesis of the Mean Data Null Hypothesis                m= 60 Level of Significance 0.05 Sample Size 31 Sample Mean 64 Sample Standard Deviation 15 Intermediate Calculations Standard Error of the Mean 2.6941 Degrees of Freedom 30 t Test Statistic 1.4847 Two-Tail Test Lower Critical Value -2.0423 Upper Critical Value 2.0423 p-Value 0.1480 Question 6: The state of Ohio Department of Education has a mandated 9th grade proficiency test that covers mathematics. We have the data on the success rates (defined as the percentage of students passing) in school districs in the greater Cincinnati metro area along with state averages. If we tested the null hypothesis that the average score in the Cincinnati area is equal to the state average in mathematics and ended up with the following results what would you say about the null. Do we reject or fail to reject it? Why? t Test for Hypothesis of the Mean Data Null Hypothesis                m= 60 Level of Significance 0.05 Sample Size 31 Sample Mean 64 Sample Standard Deviation 15 Intermediate Calculations Standard Error of the Mean 2.6941 Degrees of Freedom 30 t Test Statistic 1.4847 Two-Tail Test Lower Critical Value -2.0423 Upper Critical Value 2.0423 p-Value 0.1480

Explanation / Answer

We know that when the calculated value of the test statistic is greater than the critical value then we reject the null hypothesis H0.

In this case, the test statistic value 1.4847 lies between the 2 critical values -2.0423 and 2.0423. This means that the test statistic value lies in the acceptance region. Thus we accept the null hypothesis H0.

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