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 the .05 level 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. H0: p ? .5
Ha: p < .5
b. Test statistic z = -2.0 < -1.645; reject H0; the proportion of female employees is significantly less than 50%.
c. p-value = .0228 < .05; reject H0.
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