Homework 14: Problem 11 Previous Problem ListNext (1 point) 1. In a study of red

Question

Homework 14: Problem 11 Previous Problem ListNext (1 point) 1. In a study of red/green color blindness, 650 men and 2100 wonen are randomly selected and tested. Among the men, 56 have red/green color blindness. Among the women, 4 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 wo men using the 0 1% significa ce leven A. Yes B. No 2. 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 summary 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

Hypothesis test results:

99% confidence interval results:

Hence,

1. Test statistic = 12.8483

p - Value = 0.0000

Yes

2. 99% confidence interval:

0.055795 < (p1 - p2) < 0.112704

Interpretation: Option C is correct.

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 56 650 4 2100 0.084249084 0.00655721 12.848313 <0.0001

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