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Home Insert Page Layout Formulas Data Review View Help File Cut C. Calibri Eb copy . aste Font Alignment Clipboard H17 that covers Question 6: The state of Ohio Department of Education has a mandated 9th grade proficiency test students passing) in school mathematics. We have the data on the success rates (defined as the percentage of districs in the greater Cincinnati metro area along with state averages If we tested the null hypothesis that 2 results what would you say about the null. Do we reject or fail to reject it? Why? 4 t Test for Hypothesis of the Mean score in the Cincinnati area is equal to the state average in mathematics and ended up with the following Data Null Hypothesis 7 Level of Signifioance 8 Sample Size 9 Sample Mean 60 0.05 31 64 0 Sample Standard Deviation 15 12 Intermediate Calculations 2.6941 30 14847 StandardError of the Mean 14 Degrees of Freedom 5 Test Statistic Two-Tail Test 18 Lover Critical Value s Upper Critical Value 20 p-Value 2.0423 2.0423 0.1480 23 Question 1 Question 2 Question 3 Question 4 Question 5 Quest Ready O eChinese differences -From theExplanation / Answer
It is a two tailed hypothesis testing where we want to test whether the average score in cincinati area is equal to the state average in mathematics or not equal to state averae in mathematics.
so, we can see this from the data table that the p value obtained from the hypothesis testing is equal to 0.1480 which is insignificant at 0.01, 0.05 or 0.10 level of significance, thus we fail to reject the null hypothesis becauuse the p value is more than alpha levels.
So, we can conclude that the average score in cincinati area is equal to the state average in mathematics because p value is insignificant.
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