ECON 3210 Chapter Notes - Chapter 3: Null Hypothesis, Confidence Interval, Interval Estimation

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We estimate that constructed intervals would contain the true. Since the t = 1. 92 value does not exceed the 5% critical value not reject t . The data does not reject the zero-intercept hypothesis. ct (0. 975,38) The p-value 0. 0622 represents the sum of the areas under the t distribution to the left of t = 1. 92 and to the right of t = 1. 92. Since the t distribution is symmetric, each of the tail areas that make up the p-value are. The level of significance, t is given by the sum of the areas under the pdf for | so the area under the curve for. Therefore not rejecting the null hypothesis t is. / 2 is the same as not rejecting the null hypothesis because. From figure xr3. 1(c) we can see that having a p-value > 0. 05 is equivalent to having. |,c and likewise for or t c t. Figure xr3. 1(c) critical and observed t values (a) (b) (c)

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