Problem
A newsletter publisher believes that over $51 \%$ of their readers own a personal computer. Is there sufficient evidence at the 0.02 level to substantiate the publisher's claim? State the null and alternative hypotheses for the above scenario. Answer \[ H_{0} \] $H_{a}$ :
Solution
Step 1 ：State the null and alternative hypotheses for the scenario.
Step 2 ：The null hypothesis, \(H_{0}\), is that 51% or less of the readers own a personal computer.
Step 3 ：The alternative hypothesis, \(H_{a}\), is that more than 51% of the readers own a personal computer.
Step 4 ：Final Answer: The null hypothesis, \(H_{0}\), is that 51% or less of the readers own a personal computer. The alternative hypothesis, \(H_{a}\), is that more than 51% of the readers own a personal computer.
