40 30 20 10 O Left Tail Two-Tail Right Tail X X 0.025 -1.0 -0.824 -0.5 0.950 ob null = 0 0.5 samples=1000 mean-0.016 std
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40 30 20 10 O Left Tail Two-Tail Right Tail X X 0.025 -1.0 -0.824 -0.5 0.950 ob null = 0 0.5 samples=1000 mean-0.016 std
In 2021, a sample of 400 high school seniors was randomly taken from Virginia (VA) and Maryland (MD) and each of their math SAT scores was recorded. We want to test whether there is a difference in math SAT scores for high school seniors between Virginia and Maryland at the 1% significance level. This data comes from the National Center for Education Statistics.
40 30 20 10 O Left Tail Two-Tail Right Tail X X 0.025 -1.0 -0.824 -0.5 0.950 ob null = 0 0.5 samples=1000 mean-0.016 std. error=0.397 0.025 0.765 1.0 X
i) Based on the p-value found in 4(h), state your hypothesis test decision and conclusion. j) Explain how does the bootstrapping confidence interval and randomization hypothesis testing we conducted in this investigation relate to one another and explain why you got the results you did in one to two sentences.