Last year, 50% of MNM, Inc employees were female. It is believed that there has been a reduction in the percentage of females in the company. This year, in a random sample of 400 employees, 180 were female
a. Give the null and the alternative hypotheses.
b. At 95% confidence using the critical value approach, determine if there has been a significant reduction in the proportion of females.
c. Show that the p-value approach results in the same conclusion as that of Part b.
a. Ho: p ? 0.5
Ha: p < 0.5
b. Test statistic Z = -2.0 < -1.645; reject Ho; the proportion of female employees is significantly less than 50%.
c. p-value = 0.0228 < 0.05; reject Ho.
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