In a study of red/green color blindness, 500 men and 2950 women are randomly sel

Question

In a study of red/green color blindness, 500 men and 2950 women are randomly selected and tested. Among the men, 48 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 0 Is there sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women using the 0.05% significance level? A. No B. Yes Construct the 95% 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:

95% confidence interval results:

Hence,

Test statistic = 15.456

p - value = 0

Yes

95% CI: 0.0677 < p1 - p2 < 0.1195

Option C

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 48 500 7 2950 0.093627119 0.0060575314 15.456316 <0.0001

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