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A two-tailed test is conducted at the 5% significance level. What is the right tail percentile required to reject the null hypothesis?Question 6Answera.5%b.10%c.97.5%d.2.5%

Question

A two-tailed test is conducted at the 5% significance level. What is the right tail percentile required to reject the null hypothesis?Question 6Answera.5%b.10%c.97.5%d.2.5%

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Solution

In a two-tailed test, the rejection region is divided equally between the two tails of the distribution. Therefore, if the test is conducted at the 5% significance level, 2.5% will be in the left tail and 2.5% will be in the right tail. However, when we talk about percentiles, we usually refer to the area under the curve to the left of the point. So, the right tail percentile required to reject the null hypothesis would be 100% - 2.5% = 97.5%. Therefore, the correct answer is c. 97.5%.

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