A publisher reports that $43 %$ of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually under the reported percentage. A random sample of 100 found that $35 %$ of the readers owned a particular make of car. Is there sufficient evidence at the 0.05 level to support the executive's claim?

Step 7 of 7: State the conclusion of the hypothesis test.
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$There is not enough evidence to support the executive's claim at the 0.05 level.$

Steps

Step 1 ：State the null hypothesis: $H_{0} : p = 0.43$

Step 2 ：State the alternative hypothesis: $H_{1} : p < 0.43$

Step 3 ：Calculate the standard error: $S E = \sqrt{\frac{p (1 - p)}{n}}$

Step 4 ：Calculate the z-score: $z = \frac{\hat{p} - p}{S E}$

Step 5 ：Find the p-value corresponding to the z-score

Step 6 ：Compare the p-value to the significance level $α = 0.05$

Step 7 ： $There is not enough evidence to support the executive's claim at the 0.05 level.$