There is sufficient evidence at the 0.02 level to support the marketing executive's claim that the percentage of readers who own a particular make of car is actually more than the reported percentage of 57%.
Determine the p-value of the test statistic
To determine the p-value, we need to find the probability of getting a test statistic (z) as extreme or more extreme than the one we calculated in Step 3, assuming the null hypothesis is true. Since this is a one-tailed test (because the alternative hypothesis is only directional), we only need to consider the upper tail of the distribution.
Using a standard normal distribution table or calculator, we can find that the p-value for z = 1.96 is 0.0251.
Make a decision
Since the p-value (0.0251) is less than the significance level (0.02), we reject the null hypothesis. There is sufficient evidence at the 0.02 level to support the marketing executive's claim that the percentage of readers who own a particular make of car is actually more than the reported percentage of 57%.