Question

A newsletter publisher believes that more than 47% of their readers own a Rolls Royce. Is there sufficient evidence at the 0.05 level to substantiate the publisher's claim?

State the null and alternative hypotheses for the above scenario.

Answer 1

Here claim is that more than 47% of their readers own a Rolls Royce.

As null hypothesis always have equality sign, hence claim becomes alternative hypothesis. So here hypothesis is $H_0:p\leq 0.47$ vs $H_1:p> 0.47$