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Suppose we want to test the null hypothesis H0 : p = 0.34 against the alternative hypothesis H1 : p < 0.34. Suppose also that we observed 120 successes in a random sample of 300 subjects and the level of significance is 0.01. What is the critical value for this test? Question 4Select one:a.1.96b.-1.96c.2.3263d.-2.3263

Question

Suppose we want to test the null hypothesis H0 : p = 0.34 against the alternative hypothesis H1 : p < 0.34. Suppose also that we observed 120 successes in a random sample of 300 subjects and the level of significance is 0.01. What is the critical value for this test? Question 4Select one:a.1.96b.-1.96c.2.3263d.-2.3263

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Solution

The critical value for this test is -2.3263. This is because we are dealing with a one-tailed test (since the alternative hypothesis is p < 0.34) and the level of significance is 0.01. The negative sign indicates that we are looking at the left tail of the distribution. The value 2.3263 is the z-value that corresponds to a 0.01 level of significance in a one-tailed test. Therefore, the correct answer is d. -2.3263.

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Similar Questions

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