Question

In a survey of 426 cigarette smokers, 51 of them reported that they have tried hypnosis therapy to try to quit smoking. can you conclude that less than one-tenth of smokers have tried hypnosis therapy? use the α=0.05 level of significance.

A) No
B) Yes
C) No conclusion is possible.

Answer 1

Based on the information provided, we cannot conclude whether less than one-tenth of smokers have tried hypnosis therapy because crucial information such as the p-value or test statistic is missing, making it impossible to conduct the hypothesis test at an alpha level of 0.05. the correct answer is 'C) No conclusion is possible.'

Step-by-step explanation:

To determine if less than one-tenth of smokers have tried hypnosis therapy, we need to conduct a hypothesis test for the proportion with an alpha level of 0.05. The null hypothesis (H0) is that the true proportion (p) is equal to or greater than 0.1 (10%), while the alternative hypothesis (H1) is that the true proportion is less than 0.1.

We calculate the sample proportion (p-hat) as 51 out of 426, which is approximately 0.1197. To test this hypothesis, we use the standard normal distribution (Z-test) to determine if the observed proportion is significantly less than the hypothesized proportion.

However, the given information does not include a p-value or test statistic, which are crucial for making the decision to reject or not reject the null hypothesis. Since we cannot compute these values with the given information, we cannot make a conclusion based on the alpha level of 0.05. Therefore, the correct answer is 'C) No conclusion is possible.'