The employment percentages for men versus women in a computer company last year were 80% and 40%, respectively. At the beginning of this year, they had 150 men and 60 women currently hired. The owner of the company wishes to check their hiring practices and ensure that the percentages have not changed.

1. What is an appropriate alternative hypotheses?
2. What is appropriate test value for the hypotheses?
3. What is the appropriate critical value for this test at the .05 level?

1. The appropriate alternative hypothesis in this case would be that the employment percentages for men and women have changed from the previous year.

2. To test this hypothesis, we can calculate the expected number of men and women that would be employed in the company if the employment percentages have not changed. We can then compare these expected numbers to the actual numbers of men and women currently hired at the beginning of the year.

3. In order to determine the appropriate critical value for this test at the 0.05 level, we need to specify the statistical distribution that we are using and the degrees of freedom. Without this information, it is not possible to provide a specific critical value. However, in most hypothesis testing scenarios, the critical value for a two-sided test at the 0.05 level is typically 1.96 assuming a normal distribution. However, since we do not have sufficient information to determine the exact statistical distribution being used in this scenario, it is important to consult any applicable guidelines or consult with a statistician to obtain the appropriate critical value.