Explanation The given information is that, the test statistic z = − 2.13 . The significance level is 0.01. The given test hypothesis is: Null hypothesis: H 0 : μ = 0.4 Alternate hypothesis: H 1 : μ ≠ 0.4 . From the given hypothesis, the alternative hypothesis contains the not equal ( ≠ ) symbol. Thus, it is clear that the hypothesis follows the two-tailed test. From Table 8.1 “Table of Critical Values”, the critical value for two-tailed test at α = 0.01 level is ± 2.576 . Therefore, the critical region is z ≤ − 2.576 or z ≥ 2.576 . Decision based on the critical value method: For left-tailed test: If z ≤ − z α , reject H 0 . For right-tailed test: If z ≥ z α , reject H 0

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ISBN: 9781266836428

Author: Navidi

Publisher: MCG

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Chapter 8, Problem 13CQ

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Decide whether the null hypothesis H0 is rejected at α=0.05 level.

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Decide whether the null hypothesis H 0 is rejected at α = 0.05 level.

Solution Summary: The author determines whether the null hypothesis is rejected at alpha =0.05 level. The alternative hypothesis contains the not equal (ne) symbol.

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Decide whether the null hypothesis H0 is rejected at α=0.05 level.

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