A newsletter publisher believes that less than 58% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.05 level of significance, the advertiser failed to reject the null hypothesis. What is the conclusion regarding the publisher's claim

We don´t have at 95% of confidence, evidence to reject the publisher´s claim

Step-by-step explanation:

Population mean      p₀ = 58 %    or    p₀ = 0,58  

Hypothesis Test:

Null Hypothesis                  H₀           p  =  p₀

Alternative Hypothesis      Hₐ           p  <  p₀

For a significance level α = 0,05  means that CI = 95 % or  CI = 0,95

z(c) = - 1,64

MOE = z(c)* √(p*q)/n

p  -  p₀  / √(p*q)/n  = z(s)

And  that  z(s) is in the acceptance region

|z(s)| < |z(c)|

|z(s)| < 1,64

Then if that so we fail to reject H₀ . We don´t have evidence to reject the publisher´s claim