HELP

1. a study of red/green colour blindness, 500 men and 2100 women are randomly selected and tested. Among the men, 45 have red/green colour blindness. Among the women, 6 have red/green colour blindness (based on data from USA Today). Is it true that that men have a higher rate of red/green colour blindness than women.

Let Pmen = true proportion of men with red/green colour blindness, Pwomen = true proportion of women with red/green colour blindness.

What is he appropriate null and alternative hypothesis for testing the researcher's claim?

2. During assessments , testosterone level is typically measured (in ng/dl, i.e. nanograms per decilitre) as amount of testosterone floating in the blood. A researcher suggests that there are occupational differences in mean testosterone levels in men. A study has been conducted and the corresponding data for 22 Medical Doctors and 60 Professors is collected. Assume that the testosterone levels are normally distributed in each of the groups.

Doctors = true mean testosterone level of male doctors,

Professor = true mean testosterone level of male professors.

When testing the claim that true mean testosterone levels in the two occupational groups is the same, what is the appropriate null and alternative hypothesis?