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The critical values for a 2-tailed sign test for 13-coin flips (alpha of. 05) is: ± 1.96
For given question,
We need to find the critical values for a 2-tailed sign test for 13-coin flips.
We have been given an alpha level of 0.05 that is 5%
⇒ α = 0.05
We know that in hypothesis testing, a critical value is a point on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis.
These are the points on the distribution which have the same probability as your test statistic, equal to the significance level α.
The critical values are assumed to be at least as extreme at those critical values.
Now we find 1 - α
⇒ 1 - α = 1 - 0.05
⇒ 1 - α = 0.95
Because it is a two-tailed test, we are going to divide 0.95 by 2.
⇒ 0.95/2 = 0.475
Now we look in the z-table to find out cutoff points.
For the area of 0.475, the critical values is ± 1.96 .
Therefore, the critical values for a 2-tailed sign test for 13-coin flips (alpha of. 05) is: ± 1.96
Learn more about the two-tailed test here:
https://brainly.com/question/16633647
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