In 2010, Dr. Bob decided to gather research on the type ofdisorders that present among his patients. His data collectionresulted in the following breakdown of patients by disorder: 54.9%Schizophrenia; 21.1% Major Depression; 7.9% Obsessive-CompulsiveDisorder; 4.5% Anxiety Disorder; 2.9% Personality Disorder; 8.8%Other. Information was collected from a random sample 0f 300patients in 2018 to determine whether or not the data has changedsignificantly. The sample data is given in the table below. At the?=0.05 level of significance, test the claim that the disorderbreakdown of patients at Dr. Bob's hospital has not changedsignificantly since 2010.
Which would be correct hypotheses for this test?
- H0:The breakdown of patients by disorder has not changedsignificantly since 2010 (i.e. the given distribution stillfits); H1:The breakdown of patients by disorder haschanged significantly since 2010 (i.e. the given distribution nolonger fits)
- H0:p1=p2 ; H1:p1?p2
- H0:The breakdown of patients by disorder has changedsignificantly since 2010 (i.e. the given distribution no longerfits); H1:The breakdwon of patients by disorder has notchanged significantly since 2010 (i.e. the given distribution stillfits)
- H0:?1=?2; H1:?1??2
Type of disorder per patient in sample:
| Disorder | Count |
|---|
| Schizophrenia | 145 |
| Major Dispression | 73 |
| Obsessive-Compulsive Disorder | 30 |
| Anxiety Disorder | 12 |
| Personality Disorder | 14 |
| Other | 26 |
Test Statistic:
Give the P-value:
Which is the correct result:
- Reject the Null Hypothesis
- Do not Reject the Null Hypothesis
Which would be the appropriate conclusion?
- There is not enough evidence to suggest that the breakdown ofpatients by disorder has changed significantly since 2010.
- There is enough evidence to suggest that the breakdown ofpatients by disorder has changed significantly since 2010.
