A two-tailed test is conducted at the 5% significance level. Which of the following z-scores would lead to the rejection of the null hypothesis?Question 4Answera.1.67b.-2.06c.1.85d.-1.71
Question
A two-tailed test is conducted at the 5% significance level. Which of the following z-scores would lead to the rejection of the null hypothesis?Question 4Answera.1.67b.-2.06c.1.85d.-1.71
Solution
In a two-tailed test at the 5% significance level, the critical z-scores are -1.96 and +1.96. This means that any z-score less than -1.96 or greater than +1.96 would lead to the rejection of the null hypothesis.
Looking at the options:
a. 1.67 - This z-score is less than +1.96, so we would not reject the null hypothesis. b. -2.06 - This z-score is less than -1.96, so we would reject the null hypothesis. c. 1.85 - This z-score is less than +1.96, so we would not reject the null hypothesis. d. -1.71 - This z-score is greater than -1.96, so we would not reject the null hypothesis.
So, the correct answer is b. -2.06.
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