In a study of red/green color blindness, 850 men and 2150 women are randomly sel

Question

In a study of red/green color blindness, 850 men and 2150 women are randomly selected and tested. Among the men, 78 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 women using the 0.05% significance level?

A. Yes

B. No

2. Construct the 95% confidence interval for the difference between the color blindness rates of men and women............ <(p1p2)< ..................

Which of the following is the correct interpretation for your answer in part 2?

A. We can be 95% confident that the difference between the rates of red/green color blindness for men and women lies in the interval

B. We can be 95% confident that that the difference between the rates of red/green color blindness for men and women in the sample lies in the interval

C. There is a 95% chance that that the difference between the rates of red/green color blindness for men and women lies in the interval

D. None of the above

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:

95% confidence interval results:

Hence,

Test statistic = 13.61

p - Value = 0.0000

Yes, there is sufficient evidence.

2. 95% confidence interval:

0.0704 < p1 - p2 < 0.1094

Option A is correct.

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