In a study of red/green color blindness, 900 men and 2250 women are randomly sel

Question

In a study of red/green color blindness, 900 men and 2250 women are randomly selected and tested. Among the men, 80 have red/green color blindness. Among the women, 7 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness. The test statistic is _________________ The p-value is ________________ Is there sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women using the 0.01% significance level? Yes No Construct the 99% confidence interval for the difference between the color blindness rates of men and women. ________________

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 > 0
Note: the standard error is calculated using a pooled estimate for the proportion

Hypothesis test results:

99% confidence interval results:

Hence,

1. Test statistic = 13.271

p - value = 0.0000

Yes, there is sufficient evidence to support the claim. Option A is correct.

2. 99% confidence interval will be:

0.0612 < (p1 - p2) < 0.1104

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 80 900 7 2250 0.085777778 0.006463464 13.271177 <0.0001

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