Final answer:
To test the claim that the percentage of readers who own a particular make of car is more than the reported percentage, we can use a hypothesis test. We set up the null and alternative hypotheses, calculate the test statistic and p-value, and compare the p-value to the significance level to make a conclusion.
Step-by-step explanation:
To test the claim that the percentage of readers who own a particular make of car is actually more than the reported percentage, we can use a hypothesis test.
Let's set up the hypotheses:
- Null hypothesis (H0): The percentage of readers who own a particular make of car is 57%.
- Alternative hypothesis (Ha): The percentage of readers who own a particular make of car is more than 57%.
We will use a significance level of 0.02.
Next, we can calculate the test statistic and find the p-value.
The test statistic is calculated as:
test_statistic = (sample percentage - claimed percentage) / sqrt((claimed percentage * (100 - claimed percentage)) / sample size)
In this case, the sample percentage is 60%, the claimed percentage is 57%, and the sample size is 180.
Using these values, we can calculate the test statistic and find the p-value.
If the p-value is less than the significance level, we reject the null hypothesis and conclude that there is sufficient evidence to support the executive's claim.
Do you want me to calculate the test statistic and p-value?