According to the US Bureau of labor statistics, 7% of US female workers between 16 and 24 years old are paid at the minimum wage or less. A state politician wants to verify this statement for his...


According to the US Bureau of labor statistics, 7% of US female workers between 16 and 24<br>years old are paid at the minimum wage or less. A state politician wants to verify this statement<br>for his state. He uses a sample of 500 female workers and finds 42 are paid at the minimum wage<br>or less. Use a 5% significance level to test to test whether that state differs from the nation. State<br>clearly the null and the alternative hypotheses, the test statistic, the decision rule and the<br>|conclusion. (You may use z-critical value: 1.96)<br>Hint: the standard error of a sample proportion is a function of the hypothesized proportion 1,<br>|and is equal to<br>To(1-10)<br>, n being the sample size.<br>

Extracted text: According to the US Bureau of labor statistics, 7% of US female workers between 16 and 24 years old are paid at the minimum wage or less. A state politician wants to verify this statement for his state. He uses a sample of 500 female workers and finds 42 are paid at the minimum wage or less. Use a 5% significance level to test to test whether that state differs from the nation. State clearly the null and the alternative hypotheses, the test statistic, the decision rule and the |conclusion. (You may use z-critical value: 1.96) Hint: the standard error of a sample proportion is a function of the hypothesized proportion 1, |and is equal to To(1-10) , n being the sample size.

Jun 01, 2022
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