Answer:
The P-value (0.159) is higher than the significance level (0.1), so we can not reject the null hypothesis.
The claim of the anti-tobacco campaign could be right about their estimation.
Step-by-step explanation:
This is a problem of hypothesis testing. In this case, about the teenage population's proportion of smokers.
<u><em>Hypothesis</em></u>
The null hypothesis, that needs to be tested, is that the proportion of teenage that use tobacco is less than 20%:
The alternative hypothesis is that this proportion is higher than 20%
The significance level is 0.10 and it is used a one-sample z-test.
Analysis
The proportion for the sample is:
Then, we calculate the standard deviation of the sample:
The z-value can now be calculated as:
The P-value for is
The P-value (0.159) is higher than the significance level (0.1), so we can not reject the null hypothesis.