Question
Now you are interested in testing the hypothesis that color blindness is inherited by a sex- linked gene. This possibility is examined by looking for
Now you are interested in testing the hypothesis that color blindness is inherited by a sex- linked gene. This possibility is examined by looking for a relationship between gender and color vision. A sample of 1000 people is tested for color blindness, and then they are classified according to their sex and color vision status (normal, red-green blind, other color blindness). Is color blindness related to gender? The data are as follows: OBSERVED Frequencies of Color Vision Status According to Sex
Normal Color Vision - Red Green Color Blindness -Other Color blindness - Total
Male 320 70 10 400
Female. 580 10 10 600
Totals 900 80 10
Perform the appropriate statistical test to test the hypothesis that color blindness depends on one's gender. Go through all of the hypothesis testing steps discussed in class. This includes stating the research and null hypothesis and finding a critical chi-square from your chi-square table (at the alpha = .05 level) that you will compare to your sample chi- square (that you compute from the table). Do you reject or fail to reject the null hypothesis? What does this decision mean (i.e. following your decision, state your conclusions in a complete sentence)? Finally, calculate the STRENGTH of the relationship. What is lambda?
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