When testing a two-tailed hypothesis using a significance level of 0.05, a sample size of n = 16, and with the population standard deviation unknown, which of the following is true?
A) The null hypothesis can be rejected if the sample mean gets too large or too small compared with the hypothesized mean.
B) The alpha probability must be split in half and a rejection region must be formed on both sides of the sampling distribution.
C) The test statistic will be a t-value.
D) All of the above are true.

Question

Quizplus · Accepted Answer

A) In a two-tailed test, the null hypothesis is rejected for extreme sample means on both ends, indicating both possibilities of the sample mean being significantly larger or smaller than the hypothesized mean. B) Since it's a two-tailed test with a significance level of 0.05, the alpha (0.05) is indeed split into two, creating rejection regions on both tails of the distribution. C) With the population standard deviation unknown and a sample size given (n = 16), a t-test is appropriate, hence the test statistic will be a t-value.

When Testing a Two-Tailed Hypothesis Using a Significance Level of 0.05