You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly less than 0.77. You use a significance level of α = 0.002 .

Question

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly less than 0.77. You use a significance level of α=0.002

      H0:p=0.77H0:p=0.77

      H1:p<0.77H1:p<0.77

You obtain a sample of size n=314n=314 in which there are 237 successes.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)

What is the p-value for this sample? (Report answer accurate to four decimal places.)

Answer 1

Statistic is z = (237/314) - .77)/sqrt((.77)(.23)/314) = -.64 which is nowhere near z*(α=.002). (Or) Use technology or look up the left-side area at this value of the statistic using CDF for Standard normal distribution and compare p value to α.

Please consider a tutor. Take care.