Question

in a recent year, a health agency reported that 35.8% of adults in a certain large country are obese. a county health service planning a new awareness campaign polls a random sample of 400 adults living there. in this sample, 128 people were found to be obese based on their answers to a health questionnaire. do these responses provide strong evidence that the 35.8% figure is not accurate for this region? correct the mistakes you find in the accompanying student’s attempt to test an appropriate hypothesis. consider an event to be rare if its probability of occurring is less than 0.01.
click the icon to view the student’s attempt to test an appropriate hypothesis.
in the following calculations, enter the values from the student’s attempt if they are correct. if the values from the student’s attempt are incorrect, replace them with the values that most closely align with the student’s attempt.
identify the hypotheses. let any proportion refer to the proportion of adults who are obese.
h₀: p
hₐ: p
(type integers or decimals. do not round.)

Explanation:

Step1: Set null hypothesis

We test if the proportion equals the reported value.
$H_0: p = 0.358$

Step2: Set alternative hypothesis

We test if the proportion differs from the reported value.
$H_A: p
eq 0.358$

Answer:

$H_0: p = 0.358$
$H_A: p
eq 0.358$