4. Real limits and the binomial test Aa Aa Suppose that you want to test that a

Question

4. Real limits and the binomial test Aa Aa Suppose that you want to test that a coin is fair using the normal approximation to the binomial test. You flip the coin several times and observe the number of tails. To do the binomial test, first calculate the z-score of the number of tails you observed. If the z-score you observe in your study is just inside the critical region (that is, close to but not equal to the critical values), you should: O Fail to reject the null hypothesis. Check the limits and make sure both are in the critical region. If both are in the critical region, reject the null hypothesis O Check the limits. If one or the other of the limits (but not necessarily both) is in the critical region or the z-score is far inside the critical region, reject the null hypothesis. O Reject the null hypothesis.

Explanation / Answer

For binomial test, if the z-score is only slightly into the critical region, you should check both real limits for X to ensure that the entire score is beyond the critical boundary.

So, the correct answer is - Check the limits and make sure both are in the critical region. If both are in the critical region, reject the null hypothesis.

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