Assignment 4 - Question 1 Foundations of Inference a 80...

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Question 1 – Foundations of Inference a) 80% CI: (47.364, 52.636) 90% CI: (46.578, 53.422) 95% CI: (45.872, 54.128) 99% CI: (44.406, 55.594) As the CI increases, the range of the interval also increases (expands). b) This is an incorrect explanation of statistical significance because an alpha level of 0.05 does not represent a probability. It is a threshold for determining an acceptable statistical significance, as in a hypothesis test would only be considered statistically significant if the P-value is less than or equal to 0.05. c) This statement is correct because when something is statistically significant, that means the data are not surprising, it was expected, and it doesn’t occur due to chance variation. d) This statement is incorrect because we want the change to improve student satisfaction. Therefore, we would want to disprove or reject the null hypothesis, so the null hypothesis should be that there is no improvement, and the alternative hypothesis should be that there is an improvement. e) I. You do not state a null hypothesis about a sample mean, because you use the population mean in your hypothesis.
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