8.On the Navajo Reservation, a random sample of 220 permanent dwellings in the F
ID: 3310518 • Letter: 8
Question
8.On the Navajo Reservation, a random sample of 220 permanent dwellings in the Fort Defiance region showed that 66 were traditional Navajo hogans. In the Indian Wells region, a random sample of 141 permanent dwellings showed that 26 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let P2 be the population proportion of all traditional hogans in the Indian Wells region. (a) Find a 95% confidence interval for p1-p2. (Use 3 decimal places ower limit (No Response) upper limit .) (No Response)Explanation / Answer
8]
a] let p1 = 66/220 = 0.30 and p2 = 26/141 = 0.184
Sample X N Sample p
1 66 220 0.300000
2 26 141 0.184397
Difference = p (1) - p (2)
Estimate for difference: 0.115603
95% CI for difference: (0.0274878, 0.203718)
95% confidence interval for p1 - p2
Lower limit = 0.027
Upper limit = 0.204
9]
a] let p1 = 254/314 = 0.8089 and p2 = 95/424 = 0.2241
Test and CI for Two Proportions
Sample X N Sample p
1 254 314 0.808917
2 95 424 0.224057
Difference = p (1) - p (2)
Estimate for difference: 0.584861
90% CI for difference: (0.535452, 0.634269)
95% confidence interval for p1 - p2 is
Lower limit = 0.535
Upper limit = 0.634
b]
Because the interval contains only positive numbers, we can say that there is a higher proportion of patients with no visible scars among those who received treatment.
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