7
QuizMultiple Choice

Hypothesis Testing

Question 7 • AZ-Common Core Algebra II B

A study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes. The authors of the study wanted to know if the two groups of teachers had different levels of job satisfaction. They will use a significance level of 5% for their test. Upper-Tail Valuesa5%2.5%1%Critical z-values1.651.962.58What is (are) the critical value(s) for z in this study?

Answer
A
–1.65 and 1.65
B
–1.96 and 1.96
C
1.65
D
1.96

Explanation

The study asks whether the groups have different levels of satisfaction, so the test is two-tailed. With a 5% significance level, split the 5% between the two tails, giving 2.5% in each tail. The table gives z = 1.96 for an upper-tail area of 2.5%, so the critical values are –1.96 and 1.96.

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