A sample of n 25 scores produces a t statistic of t 2062 if...

A sample of n = 25 scores produces a t statistic of t = -2.062. If the researcher is using a two-tailed test, which of the following is the correct statistical decision? The researcher can reject the null hypothesis with α = .05 but not with α = .01. The researcher can reject the null hypothesis with either α = .05 or α = .01. The researcher must fail to reject the null hypothesis with either α = .05 or α = .01. It is impossible to make a decision about H0 without more information.

Transcript

00:01 In this situation, they tell us that a sample of 25 produced a t statistic of 2 .062.

00:09 And we want to test a two -tailed test.

00:13 So the best way to do this maybe would be to draw the distribution, kind of a bell, flattened bell for a t, with the degrees of freedom are going to be, since the sample size is 25 degrees of freedom is one less.

00:30 So 24 and we have a t's statistics of point 2 .062 but it's two tailed so here in minus 2 .062 we have the same value so the tails are here and the addition of those two tails it gives us the p value which we're going to compare it against the significance level so let's compute that p value for that we can use a calculator so a graphical calculator that is we're going to use the t84 we're which is a very popular high school calculator.

01:08 Here we're going to go for the t distribution.

01:11 So here in distributions in blue, second distributions, we're going to try to find that area right there.

01:19 So we're going to go for the t -cdf, which is to find number six, t -cd -f to find areas with the t distribution.

01:31 We're going to put the lower bound as 2 .0.

01:35 Well, no, let's choose this left one.

01:37 Both of them are the same so yeah so our left bound is minus infinity which is minus a big number which is we already have the upper bound is minus 2 .062 and the degrees of freedom are 24 so this is going to give us the area there we go oops something wrong let me check the syntaxes oh um no nothing wrong that i can see oh yes i know what i did this minus i wrote it with the minus of the of the minus here this minus instead of this minus so let's correct that and there we go so that's the area that we want now because it's double that we're gonna multiply it by two so let's multiply it by two and we get the p value so this p value this p value is on the edge so let's copy it so it's 0 .05 barely above 0 .05...

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