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
- 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
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.
Similar Questions
3. Suppose we want to test the null hypothesis H0:p=0.20𝐻0:𝑝=0.20 against the alternative hypothesis Ha:p<0.20𝐻𝑎:𝑝<0.20 . Suppose also that we observed 25 successes in a random sample of 100 subjects and the level of significance is 0.05. What is the observed test statistic for this test?Multiple choice 1 Question 3 z=1.15𝑧=1.15 z=−1.25𝑧=−1.25 z=−1.15𝑧=−1.15 z=1.25
35.In one tail test for the population mean if the null hypothesis is not rejected when the alternative hypothesis is true then which of the following happens? A. Type 2 error B. Type 1 error C. No error D. Two tailed test should've been used
A two-sided alternative hypothesis is also known as a _________________.*1 pointDirectional testNon-directional testParametric testOne-tailed test
The statement of the alternative hypothesis Ha: μ1 - μ2 < 0, states:Question 5Select one:a.that population mean 1 is smaller than population mean 2.b.that population mean 2 is smaller than population mean 1.c.that population mean 1 is larger than population mean 2.d.that the two population means are the same.
What is the primary difference between a one-tailed and a two-tailed test? A. The level of significance B. The number of hypotheses tested C. The directionality of the hypothesis D. The sample size
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.