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.
What will be an ideal response?
?
| 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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