3. A company has 455 job openings: 70 for professional jobs and 385 for blue collar jobs. Below is the summary of the results of job applications of 600 men and 300 women for these new jobs. Type of Job Men Women Applied hired applied hired Professional 200 30 200 40 Blue collar 400 300 100 85 a. Suggest statistical treatment to establish dependence between type of job and sex. b. State the null hypothesis. C. At 10 % level of significance, what will be your decision (In terms of reject and do not reject the null hypothesis) if the p value is 0.05? d. State the conclusion. 4. Two formulations of a new whitening soap are to be compared as to their whitening effect. A random sample of 40 potential users of the soap is selected. Each person uses a randomization mechanism to determine which formulation is better as a whitening soap, the one that is applied on the left arm or the other formulation is applied on the right arm. After two weeks, they measured the effect of formulation. a. What statistical treatment should be used to treat the data? b. State the null hypothesis? c. State the conclusion if the computed p value is 0.05 at 5% level of significance