The rejection region for testing the hypothesesH0: μ = 100HA: μ ≠100at the 0.05 level of significance is:Group of answer choices|Z| > 1.96.Z < 2.33.|Z < 0.95.Z > 1.65.
Question
The rejection region for testing the hypothesesH0: μ = 100HA: μ ≠100at the 0.05 level of significance is:Group of answer choices|Z| > 1.96.Z < 2.33.|Z < 0.95.Z > 1.65.
Solution
The correct answer is |Z| > 1.96.
Here's why:
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The null hypothesis (H0) states that the population mean (μ) is equal to 100. The alternative hypothesis (HA) states that the population mean is not equal to 100. This is a two-tailed test because the alternative hypothesis is testing for a value that is either greater than or less than the stated population mean.
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The level of significance (α) is 0.05. For a
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