State whether the standardized test statistic t...

State whether the standardized test statistic t indicates that you should reject the null hypothesis. Explain. (a) t = 1.863 (b) t = 0 (c) t = 1.795 (d) t = - 1.852 (a) For t = 1.863, should you reject or fail to reject the null hypothesis? A. Reject H0, because t > 1.834. B. Fail to reject H0, because t < 1.834. C. Fail to reject H0, because t > 1.834. D. Reject H0, because t < 1.834.

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Transcript

00:01 Hey there, welcome to numerate.

00:04 So we are given a standard normal curve here, where we have our critical value labeled on the right -hand side.

00:12 So what we basically are given is a t -critical value that equals 1 .834.

00:28 All right, 1 .834.

00:31 And we want to see whether the standardized test statistic, t, in a case, that you should reject the null hypothesis.

00:41 So basically what we're given here is parts a to d with our t score equation.

00:49 And we are trying to reject or fail to reject the null hypothesis.

00:54 So let's start by writing our decision rule here.

01:01 So basically what we have is our t score.

01:05 Now when our t score is greater than our t critical value, then this will be rejecting the null hypothesis.

01:26 Vice versa, if our t score here is less than rt critical value of 1 .8 -34, then we are going to fail to reject the null hypothesis.

01:47 All right, awesome.

01:50 So let's carry on by starting with part a.

01:55 So for part a, we're given a t score of 1 .8.

02:01 So, with 1 .863, we can see that 1 .863 is greater than 1 .834.

02:15 So therefore, we are going to reject the noaa hypotheses because our t score here is greater than 1 .834...

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