Using the estimated 96% interval, [0.48, 0.54], what conclusion would we reach if we test H0: P = 0.56 versus H1: P $\neq$ 0.56 at α = 0.04?

Question

ADDITIONAL INFO: According to a poll, (51%) of surveyed employees agree with the statement that the people who run most companies are "honest and ethical."

• Already found the sample size to equal 1167

Found z= -3.44

Concluded to reject the null and accept the alternative, since -3.44 less than or equal to -2.05

Is my answer correct?

Answer 1

It is essentially correct, though you should show how you found $1167$ and $0.0145306$ and $-3.44$

When you have done that, you may be able to see that your argument is essentially that the confidence interval $[0.48, 0.54]$ does not cover the hypothesis value of $0.56$