A poll of 100 1 US adults split the sample into fou age groups ages 18-29. 3049

Question

A poll of 100 1 US adults split the sample into fou age groups ages 18-29. 3049 5064 and 65+ In the youngest age group 65% said that theythought the US was ready for a woman president, as opposed to 32% who said no the country was not ready 396 were undeci e The samp e included 25 1 to 29-yearolds. a) Do you expect the 99% confidence interval for the true proportion of all 18-to 29-year olds who think the is ready for a woman president to be der ornar o e than the 99% confidence interval for the true proportion of all US adults? b) Construct a 99% confidence interval for the true proportion of all 18-to 29-year olds who believe the US is ready for a woman president. as wide as a) The 99% confidence interval for the true proportion of 18-to 29-year olds who think the US is ready for a woman president will be abou the 99% confidence interval for the true proportion of all US adults who think this. one-half equally one-fourth twice four times b) The 99% confidence interval is (L)%O%) (Round to one decimal place as needed.)

Explanation / Answer

(a) Twice as wide

(b)

n = 250    

p = 0.65    

% = 99    

Standard Error, SE = {p(1 - p)/n} =    (0.65(1 - 0.65))/250 = 0.030166206

z- score = 2.575829304    

Width of the confidence interval = z * SE =     2.57582930354892 * 0.0301662062579967 = 0.077703

Lower Limit of the confidence interval = P - width =     0.65 - 0.0777029980562486 = 0.572297

Upper Limit of the confidence interval = P + width =     0.65 + 0.0777029980562486 = 0.727703

The 99% confidence interval is [0.6, 0.7]

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.