[See Solution] In a study of red/green color blindness, 500 men and 2100 women are randomly selected and tested. Among the men, 45 have red/green color blindness.


Question: In a study of red/green color blindness, 500 men and 2100 women are randomly selected and tested. Among the men, 45 have red/green color blindness. Among the women, 6 have red/green color blindness.

  1. Is there sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women? (Assume a 0.05 significance level).
  2. Construct the \(99 \%\) confidence interval for the difference between the color blindness rates of men and women. Interpret your result.

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