A newsletter publisher believes that over $45 \%$ 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

Step 1 ：In hypothesis testing, the null hypothesis is a general statement or default position that there is no relationship between two measured phenomena, or no association among groups. The alternative hypothesis is the hypothesis used in hypothesis testing that is contrary to the null hypothesis. It is usually taken to be that the observations are the result of a real effect (with some amount of chance variation superposed).

Step 2 ：In this case, the publisher believes that over 45% of their readers own a Rolls Royce. So, we can set up our null and alternative hypotheses as follows:

Step 3 ：Null Hypothesis (H0): The proportion of readers who own a Rolls Royce is less than or equal to 45%.

Step 4 ：Alternative Hypothesis (H1): The proportion of readers who own a Rolls Royce is greater than 45%.

Step 5 ：Final Answer: \(\boxed{\text{Null Hypothesis (H0): The proportion of readers who own a Rolls Royce is less than or equal to 45%.}}\)

Step 6 ：\(\boxed{\text{Alternative Hypothesis (H1): The proportion of readers who own a Rolls Royce is greater than 45%.}}\)