Suppose that you are testing the hypotheses Upper H 0: pequals0.16 vs. Upper H Subscript Upper A: pnot equals0.16. A sample of size 350 results in a sample proportion of 0.21. a) Construct a 90% confidence interval for p. b) Based on the confidence interval, can you reject Upper H 0 at alphaequals0.10? Explain. c) What is the difference between the standard error and standard deviation of the sample proportion? d) Which is used in computing the confidence interval?

Given:

Sample size, n = 350

Sample proportion, P' = 0.21

H0 : p = 0.16

Ha : p ≠ 0.16

a) A 90% confidence interval for P.

Significance level = 1 - confidence interval = 1 - 0.90 = 0.10

For Z critical, we have:

Z critical = (using z table)

Standard error, S.E =

Margin of error, E = 1.645 * 0.02177 =0.03581

The 90% confidence interval =

0.21 ± 0.03581

The lower limit: 0.21 - 0.03581 = 0.17419

The upper limit: 0.21+0.03581 =0.24581

b) Based on the confidence interval at significance level = 0.10,

We reject null hypothesis, H0, since 0.16 is not cointained in the confidence interval. We conclude that p ≠ 0.16.

c) Standard error is based on sample proportion p^ while standard deviation is based on hypothesized proportion Po.

d) Standard error is used to compute the confidence interval.

81 seats

step-by-step explanation:

if you multiply 0.65 times 125 then you get 81.5 seats. well since you can't have half of a seat you have to round down and get 81 seats in the no children zones. that leave 44 seats outside of the no children zone.

it would rotate about 180 degrees.