Question

In 2010, Dr. Bob decided to gather research on the type of disorders that present among his patients. His data collection resulted in the following breakdown of patients by disorder: 54.9% Schizophrenia; 21.1% Major Depression; 7.9% Obsessive-Compulsive Disorder; 4.5% Anxiety Disorder; 2.9% Personality Disorder; 8.8% Other. Information was collected from a random sample 0f 300 patients in 2018 to determine whether or not the data has changed significantly. The sample data is given in the table below. At the α=0.10 level of significance, test the claim that the disorder breakdown of patients at Dr. Bob's hospital has not changed significantly since 2010.

Which would be correct hypotheses for this test?

• H0:The breakdown of patients by disorder has changed significantly since 2010 (i.e. the given distribution no longer fits); H1:H1:The breakdown of patients by disorder has not changed significantly since 2010 (i.e. the given distribution still fits)
• H0:μ1=μ2; H1:μ1≠μ2
• H0:p1=p2; H1:p1≠p2
• H0:The breakdown of patients by disorder has not changed significantly since 2010 (i.e. the given distribution still fits); H1:H1:The breakdown of patients by disorder has changed significantly since 2010 (i.e. the given distribution no longer fits)

Test Statistic:

Give the P-value:

Which is the correct result:

• Do not Reject the Null Hypothesis
• Reject the Null Hypothesis

Which would be the appropriate conclusion?

• There is enough evidence to suggest that the breakdown of patients by disorder has changed significantly since 2010.
• There is not enough evidence to suggest that the breakdown of patients by disorder has changed significantly since 2010.

Type of disorder per patient in sample:

Disorder	Count
Schizophrenia	138
Major Depression	84
Obsessive-Compulsive Disorder	27
Anxiety Disorder	11
Personality Disorder	10
Other	30

Answer 1

Correct hypothesis:

• H0:The breakdown of patients by disorder has not changed significantly since 2010 (i.e. the given distribution still fits); H1:The breakdown of patients by disorder has changed significantly since 2010 (i.e. the given distribution no longer fits)

Test Statistic:  12.797

P-value: 0.02536

correct result:  Reject the Null Hypothesis

Appropriate conclusion

• There is enough evidence to suggest that the breakdown of patients by disorder has changed significantly since 2010.