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3. Which of the following describes an alternative hypothesis using two-tailed test?                               *A. 𝐻𝑎: 𝜇 < 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑B. 𝐻𝑎: 𝜇 ≠ 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑C. 𝐻𝑎: 𝜇 > 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑D. 𝐻𝑎: 𝜇 = 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙d

Question

  1. Which of the following describes an alternative hypothesis using two-tailed test?                               *A. 𝐻𝑎: 𝜇 < 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑B. 𝐻𝑎: 𝜇 ≠ 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑C. 𝐻𝑎: 𝜇 > 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑D. 𝐻𝑎: 𝜇 = 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙d
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Solution

The correct answer is B. 𝐻𝑎: 𝜇 ≠ 50 𝑦𝑒𝑎𝑟𝑠 𝑜𝑙𝑑.

A two-tailed test is used when we do not specify a direction of the difference or relationship. In other words, we are looking for a difference in either direction. The alternative hypothesis (H_a) for a two-tailed test will contain a "not equal to" (≠) sign.

So, in this case, the hypothesis that 𝜇 (the population mean) is not equal to 50 years old is the alternative hypothesis for a two-tailed test.

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Similar Questions

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