Question 13 of 14 Step 6 of 7 $01: 01: 52$ A publisher reports that $27 \%$ of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually over the reported percentage. A random sample of 400 found that $32 \%$ of the readers owned a particular make of car. Is there sufficient evidence at the 0.02 level to support the executive's claim? Step 6 of 7: Make the decision to reject or fail to reject the null hypothesis. Answer 2 Points Reject Null Hypothesis

Step 1 ：Calculate the standard error using the formula \( \text{SE} = \sqrt{\frac{p_0(1-p_0)}{n}} \) where \( p_0 = 0.27 \) and \( n = 400 \)

Step 2 ：Calculate the test statistic using the formula \( z = \frac{\hat{p} - p_0}{\text{SE}} \) where \( \hat{p} = 0.32 \)

Step 3 ：Find the critical value for a one-tailed test at the 0.02 significance level using the normal distribution

Step 4 ：Compare the test statistic to the critical value

Step 5 ：If the test statistic is greater than the critical value, reject the null hypothesis

Step 6 ：\( \boxed{\text{Reject Null Hypothesis}} \)