SOLUTION: In testing H0: p = .5 against H1: p > .5, 400 voters were surveyed and 216 reported they were in favor of the proposal to widen I-485. Find the value of the test statistic to deter

Algebra ->  Probability-and-statistics -> SOLUTION: In testing H0: p = .5 against H1: p > .5, 400 voters were surveyed and 216 reported they were in favor of the proposal to widen I-485. Find the value of the test statistic to deter      Log On


   

Question 1032347: In testing H0: p = .5 against H1: p > .5, 400 voters were surveyed and 216 reported they were in favor of the proposal to widen I-485. Find the value of the test statistic to determine if a majority of the voters are in favor of the proposal to widen I-485.
A. 1.6
B. -1.6
C. 0.8
D. -0.8
E. 0.04
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Given Information
p+=+0.5 is the hypothesized population proportion
x+=+216 is the number of successes
n+=+400 is the sample size


Compute The Sample Proportion (p-hat)
phat+=+x%2Fn
phat+=+216%2F400
phat+=+0.54


Standard Error (SE)
SE+=+sqrt%28%28p%2A%281-p%29%29%2Fn%29
SE+=+sqrt%28%280.5%2A%281-0.5%29%29%2F400%29
SE+=+0.025


Test Statistic
z+=+%28phat+-+p%29%2F%28SE%29
z+=+%280.54+-+0.50%29%2F%280.025%29
z+=+1.6


Final Answer: Choice A) 1.6