A government health official is interested in whether there has been a statistically significant decrease in teen smoking rates. In 2013, 8.4 percent of 12th graders had used tobacco in the past 30 days. With this data, we test the following hypotheses at the 5% significance level.

The health official surveys 200 randomly selected 12th graders and finds that 14 of them have used tobacco in the past 30 days.

H0: The percentage of 12th graders who have smoked in the past 30 days is equal to 8.4%.

Ha: The percentage of 12th graders who have smoked in the past 30 days is greater than 8.4%.

The p-value is 0.09. Which conclusion is correct?

A. Accept H0.

B. Fail to reject H0.

C. Reject H0.

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Mathematics

15 November, 15:55

A government health official is interested in whether there has been a statistically significant decrease in teen smoking rates. In 2013, 8.4 percent of 12th graders had used tobacco in the past 30 days. With this data, we test the following hypotheses at the 5% significance level.

The health official surveys 200 randomly selected 12th graders and finds that 14 of them have used tobacco in the past 30 days.

H0: The percentage of 12th graders who have smoked in the past 30 days is equal to 8.4%.

Ha: The percentage of 12th graders who have smoked in the past 30 days is greater than 8.4%.

The p-value is 0.09. Which conclusion is correct?

A. Accept H0.

B. Fail to reject H0.

C. Reject H0.

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Answers (1)

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Lamar · Answer 1

Answer: B

Step-by-step explanation:

The p-value is greater than the significance level (0.09 > 0.05), so we "fail to reject" H0.

The p-value and significance level are provided from the questions.

General rule of P value : When a P value is less than or equal to the significance level, you reject the null hypothesis.