ALEKS ALEKS Login Intormation [R: ALExS - Nathan Sanchez - 3 N. Ace Al Tutor from Numerade www-awu_aleks.com/alekscgif/|sl.exe/10_u-lgNsikasNW8DBA9PVVRx7mVIZ_V8bzjtfFxSUqp6hC0-_-r3sF8pT1w70kT86oJ_4YgCiB_Xd5lo4.. Weidian (8 Other). Penin Stute Transto. Gmail 3.8 The Impact of Precalctus Functi... Exam 43 Question 1 of 10 ( 5 points) I Question Attempt 1 of 1 Time Remaining: \( \mathbf{2 : 5 9 . 4 8} \) Nat \( (1) \) 2 3 4 5 6 7 8 9 10 Last year's mean hourly wage (in dollars) for all hospital clerical workers in a large state was 8 . An administrator for the state believes that this year's mean hourly wage for hospital clerical workers is greater than last year's mean. She hires statisticians to sample a number of hospital clerical workers and to carry out a hypothesis test. State the null hypothesis \( H_{0} \) and the alternative hypothesis \( H_{1} \), that would be used for this test. \[ \begin{array}{l} H_{0}: \\ H_{1}: \end{array} \] \begin{tabular}{|ccc} \hline\( \mu \) & \( \bar{x} \) & \( p \) \\ \( \hat{p} \) & \( \sigma \) & \( s \) \\ \( \square^{\square} \) & & \( \square<\square \) \\ \( \square \leqslant \square \) & \( \square>\square \) & \( \square \geq \square \) \\ \( \square=\square \) & \( \square * \square \) & \\ \( \times \) & & 5 \\ \hline \end{tabular} Continue Submit Assignment
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The administrator believes that this year's mean hourly wage for hospital clerical workers is greater than last year's mean. Last year's mean hourly wage was $8. The hypothesis test will compare this year's mean hourly wage against last year's mean. Show more…
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1. (8 points) An all-women's college is interested in knowing whether it places more or less females in male-dominated careers (e.g., engineering, physical science) as compared to the national data for career placement. According to the National Center for Educational Statistics, only around 22% of the people in engineering and physical science jobs were females in the 1990s. For this problem, assume that this population parameter has remained constant over time. The alumni data at this all-women's college has observed the percent of graduates placed in such occupations over the past 20 years (N = 20). The mean for those years is 23.7% with a standard deviation of 6.1%. Test the hypothesis that the women's college average is different from the national average. Complete the following steps to test this hypothesis using alpha = .05. a. (2 points) What are the hypotheses in formal statistical notation? b. (3 points) Compute the 95% confidence interval and report it using correct notation. c. (3 points) Make a decision regarding the null hypothesis. How did you reach this decision using the confidence interval? Explain what you would conclude about the research question.
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