Answer:
1. <u>The correct answer is 46%</u>
2. <u>The correct answer is .07</u>
<u>3. The correct answer is (34%,58%)</u>
4. <u>The correct answer is (32%,60%)</u>
Step-by-step explanation:
1. Let's calculate the percentage or proportion of patients that were dogs:
p = (7 + 4 + 5 + 5 + 2)/50 = 23/50 = 0.46
<u>The correct answer is 46%</u>
2. Let's estimate the standard error, using the given formula, this way:
S.e = √ (0.46 * 0.54)/50 = √0.049 = 0.07
<u>The correct answer is .07</u>
<u>3. </u>Let's calculate the confidence limits of the 90% confidence interval, this way:
Confidence limits = proportion +/- 1.645 * standard error
Confidence limits = 0.46 +/- 1.645 * 0.07
Confidence limits = 0.46 +/- 0.12
Confidence limits = 0.34, 0.58
<u>The correct answer is (34%,58%)</u>
4. <u> </u>Let's calculate the confidence limits of the 95% confidence interval, this way:
Confidence limits = proportion +/- 1.96 * standard error
Confidence limits = 0.46 +/- 1.96 * 0.07
Confidence limits = 0.46 +/- 0.14
Confidence limits = 0.32, 0.60
<u>The correct answer is (32%,60%)</u>
