Question

In: Statistics and Probability

Out of 400 people sampled, 248 had kids. Based on this, construct a 95% confidence interval...

Out of 400 people sampled, 248 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids.

Give your answers as decimals, to three places

< p <

Solutions

Expert Solution

Solution :

Given that,

n = 400

x = 248

Point estimate = sample proportion = = x / n = 248/400=0.62

1 -   = 0.38

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96   ( Using z table )

Margin of error = E = Z/2   * ((( * (1 - )) / n)

= 1.96 (((0.62*0.38) / 400)

E = 0.048

A 95% confidence interval for population proportion p is ,

- E < p < + E

0.62-0.048 < p < 0.62+0.048

0.572<p<0.668


Related Solutions

Out of 300 people sampled, 78 had kids. Based on this, construct a 95% confidence interval...
Out of 300 people sampled, 78 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to three places < p <
Out of 320 people sampled, 240 had kids. Based on this, construct a 95% confidence interval...
Out of 320 people sampled, 240 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids. 0.85 < pp < 0.65 0.8 < pp < 0.7 0.7 < pp < 0.8 0.93 < pp < 0.57 0.9 < pp < 0.6
Out of 100 people sampled, 50 had kids. Based on this, construct a 95% confidence interval...
Out of 100 people sampled, 50 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to three places
Out of 300 people sampled, 99 had kids. Based on this, construct a 95% confidence interval...
Out of 300 people sampled, 99 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to four places < p
Out of 500 people sampled, 460 had kids. Based on this, construct a 95% confidence interval...
Out of 500 people sampled, 460 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to three places. < p <
Out of 500 people sampled, 85 had kids. Based on this, construct a 95% confidence interval...
Out of 500 people sampled, 85 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to three places < p <
Out of 300 people sampled, 270 had kids. Based on this, construct a 95% confidence interval...
Out of 300 people sampled, 270 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to three places. ___________ < p < _______________
Out of 300 people sampled, 207 had kids. Based on this, construct a 95% confidence interval...
Out of 300 people sampled, 207 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to four places < p <
Out of 500 people sampled, 195 had kids. Based on this, construct a 95% confidence interval...
Out of 500 people sampled, 195 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to four places answer ____ < p < answer _____
Out of 400 people sampled, 252 had kids. Based on this, construct a 90% confidence interval...
Out of 400 people sampled, 252 had kids. Based on this, construct a 90% confidence interval for the true population proportion of people with kids. As in the reading, in your calculations: --Use z = 1.645 for a 90% confidence interval --Use z = 2 for a 95% confidence interval --Use z = 2.576 for a 99% confidence interval. Give your answers to three decimals Give your answers as decimals, to three decimal places. [,]
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT