Recall the previous exercise, which described the Italian firm Ma-Vib that was in the news for sexual

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Recall the previous exercise, which described the Italian firm Ma-Vib that was in the news for €œsexual discrimination€ for having chosen only its female employees to be dismissed. Before the layoff s, Ma-Vib employed 18 women and 12 men; it then fi red 15 of the women and none of the men. Using the Two Proportions applet for 1,000 shuffle and deals, the following output was obtained.

Total Shuffles = 1000 Mean = -0.000 SD = 0.188 350 280 210 140 70 -0.13 0.17 -0.73 -0.43 0.47 Shuffled difference in pro


a. The graph is a histogram of 1,000 possible values of difference in dismissals between men and women. At what numeric value does this graph center? Explain why that makes sense.
b. What value should be entered in the box next to €œBeyond€?

c. Estimate and report the p-value from the graph. Also, shade the region of the graph that represents the p-value.

d. Based on the p-value reported in part (c), would it be okay to say that the proportion of women fi red by Ma-Vib was significantly higher than that of men? How are you deciding?
e. Based on your findings above, would it be okay to say that Ma-Vib fired the 15 women because they were women? How are you deciding?
f. Explain why it does not make sense to calculate a confidence interval is this context. (Hint: What would the confidence interval be estimating?)

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Introduction To Statistical Investigations

ISBN: 9781118172148

1st Edition

Authors: Beth L.Chance, George W.Cobb, Allan J.Rossman Nathan Tintle, Todd Swanson Soma Roy

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