Problem

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

Answer

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Answer

Reject Null Hypothesis

Steps

Step 1 :Calculate the standard error using the formula SE=p0(1p0)n where p0=0.27 and n=400

Step 2 :Calculate the test statistic using the formula z=p^p0SE where 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 :Reject Null Hypothesis

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