Question

CDC's National Asthma Control Program was created in 1999 to help the millions of people with asthma in the United States control their disease. According to a report released in 2010, 35.2% of US adults have intermittent asthma (meaning their asthma is well-controlled without long-term medication). In order to update the report, the CDC sampled 2138 adults and found that 775 of those sampled had intermittent asthma. Test the appropriate hypotheses to determine if the percentage of US adults with intermittent asthma has changed from the value reported by the CDC. Use a significance level of 0.10.

Null Hypothesis (H₀): p = 0.352
Alternative Hypothesis (Hₐ): p < 0.352
Significance Level (α): 0.10
Test Statistic: z = (Note: round the test statistic to two decimal places)

Answer 1

The null hypothesis is p = 0.095 and the alternative hypothesis is p < 0.095.

Step-by-step explanation:

To test whether the true proportion of people in the town suffering from the disease is lower than the percentage in the general adult American population, we can use a hypothesis test. Let p represent the true proportion of people in the town suffering from the disease.

The null hypothesis (H₀) would be: p = 0.095 (the percentage in the general adult American population), implying that the proportion in the town is the same as the population.

The alternative hypothesis (Hₐ) would be: p < 0.095, indicating that the proportion in the town is lower than the population.