Question

Davison and Kaplan (2015) conducted a study to examine the relationship between food insecurity—based on validated screening questions asking if in the past 12 months did the participant, due to a lack of money, worry about or not have enough food to eat—and mood disorders. Among the 97 adults randomly selected from the Mood Disorder Association of British Columbia membership list, 35 experienced food insecurity. Among the 1,823 adults in the general population sampled from the British Columbia Nutrition Survey, 133 experienced food insecurity. Using a 0.05 significance level, you need to test the claim that the proportion of adults with food insecurity among those with mood disorders (group 1) is higher than the proportion of adults with food insecurity in the general population (group 2). To do so, answer each of the following questions.

a) What proportion of adults with mood disorders experienced food insecurity?

a.0.05

b.0.08

c.0.36

d.0.64

e.0.93

b. What is the null hypothesis H₀?

c. What is the value of the test statistic you should use to test the given hypothesis?

a.0.029

b.0.29

c.0.36

d.9.76

e.12.38

d. What is the p-value (corresponding to your test statistic)?

a.<0.0001

b.0.05

c.0.95

d.>0.9999

e.Cannot be determined from the given information

E. What conclusion should you make based on the given data?

a.Reject H₀ and conclude there is not sufficient evidence to support the claim that food insecurity occurs at a higher rate among those with mood disorders than those in the general population.

b.Reject H₀ and conclude there is sufficient evidence to support the claim that food insecurity occurs at a higher rate among those with mood disorders than those in the general population.

c.Accept H₀ and conclude there is sufficient evidence to support the claim that food insecurity occurs at a higher rate among those with mood disorders than those in the general population.

d.Fail to reject H₀ and conclude there is not sufficient evidence to support the claim that food insecurity occurs at a higher rate among those with mood disorders than those in the general population.

e.Fail to reject H₀ and conclude there is sufficient evidence to support the claim that food insecurity occurs at a higher rate among those with mood disorders than those in the general population.

Answer 1

a) The proportion of adults with mood disorders experienced food insecurity is

Correct option is (C).

b) The hypotheses are

c) Here . . The test statistic

The statistic follows Z-distribution.

We can see that the test statistic is . The answer do not match. Check the data given.

d) The P-value is

Correct choice is (A).

e) We cans ee ta the P-value is less than So reject null hypothesis at 95% confidence. Reject H0 and conclude there is sufficient evidence to support the claim that food insecurity occurs at a higher rate among those with mood disorders than those in the general population.

Answer (B).