Question

Abigail, who works for a region's department of health, is looking for evidence that the percentage of adults in the region who are current smokers has decreased from 15.8% in 2015. She gathers a random sample of adults in the region and asks each individual if he or she currently smokes. Abigail found that 40 of the 277 adults who were surveyed are current smokers. What are the null and alternative hypotheses for this hypothesis test?

Answer 1

Answer:
`H_0: p\geq0.158\\\\ H_a:p<0.158`

Explanation:

Let p be the population proportion of adults who were surveyed are current smokers.

Given claim : Abigail, who works for a region's department of health, is looking for evidence that the percentage of adults in the region who are current smokers has decreased from 15.8% in 2015.

i.e.
`p<0.158`

Since the alternative hypothesis takes unequal sign .

Then , the null and alternative hypotheses for this hypothesis test will be :_

`H_0: p\geq0.158\\\\ H_a:p<0.158`