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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 0.05. What is the critical value for this test? Question 3Select one:a.-1.6449b.1.96c.1.2816d.1.6449

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 0.05. What is the critical value for this test? Question 3Select one:a.-1.6449b.1.96c.1.2816d.1.6449

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Solution

The critical value for this test can be found by looking up the z-score in a standard normal distribution table that corresponds to the given level of significance. Since the alternative hypothesis is p > 0.34, we are conducting a one-tailed test.

The level of significance is 0.05. For a one-tailed test, we use this value directly (we don't need to divide it by 2 as we would for a two-tailed test).

Looking up 0.05 in the z-table, we find a z-score of 1.6449.

So, the correct answer is d. 1.6449.

This problem has been solved

Similar Questions

Suppose we want to test the null hypothesis H0 : p = 0.28 against the alternative hypothesis H1 : p ≠ 0.28. Suppose also that we observed 100 successes in a random sample of 400 subjects and the level of significance is 0.05. What is the p-value for this test? Question 2Select one:a.0.05b.0.9563c.0.1802d.0.0901

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 0.05. What is the observed test statistic for this test? Question 1Select one:a.-2.194b.0.4c.0.05d.2.194

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