Question

In a poll of 232 adults, it was found that 22% smoked cigarettes in the past week. Test the claim that less than 25% of adults have smoked within the past week. Use 0.05 significance level Careful: You need to convert percent into decimals. (Round to 2 decimals) Ho : p = Ha : p < z - Test Statistic = (Round to 2 decimals) p - Value = (Round to 4 decimals) Conclusion: There is sufficient evidence to (support OR not support) the claim

Answer 1

In a poll of 232 adults, it was found that 22% smoked cigarettes in the past week.

We need to test the claim that less than 25% of adults smoked within the past week.

So, the hypothesis test is

We have

First, we see

So, we can pply one sample proportion test.

Now, the test is

So, the p-value is

Now, we note that

Since the p-value is more than the level of significance, we conclude that we do not have enough evidence to reject the null hypothesis.

So, we conclude that

we do not have enough evidence to decide that less than 25% of adults has smoked within last week.