A publisher reports that 45% 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 130 found that 40% 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 1 of 7: State the null and alternative hypotheses
Step 2 of 7: Find the value of the test statistic. Round your answer to two decimal places.
Step 3 of 7: Specify if the test is one-tailed or two-tailed.
Step 4 of 7: Determine the P-value of the test statistic. Round your answer to four decimal places.
Step 5 of 7: Identify the value of the level of significance.
Step 6 of 7: Make the decision to reject or fail to reject the null hypothesis.
Step 7 of 7: State the conclusion of the hypothesis test.
Option A: There is sufficient evidence to support the claim that the percentage of readers who own a particular make of car is under 45%.
Option B: There is not sufficient evidence to support the claim that the percentage of readers who own a particular make of car is under 45%.
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