Discuss the following:
Q1. A study was conducted that examined the relationship between mentah-health classification and thoughts of suicide. The mental health of each person in a sample of 295 was classified as normal, mild psychiatric illness or severe psychiatric illness. Also, each person was asked: "Have you recently found that the idea of taking your own life kept coming into your mind?" Following are the results.
|
|
|
Mental Health
|
|
|
|
Normal
|
Mild
Illness
|
Severe
Illness
|
Total
|
|
Response
|
Definitely
not
|
90
|
43
|
34
|
167
|
|
Don't think
so
|
5
|
18
|
8
|
31
|
|
Crossed
my mind
|
3
|
21
|
21
|
45
|
|
Definitely
yes
|
1
|
15
|
36
|
52
|
|
Total
|
99
|
97
|
99
|
295
|
Is there evidence that response to the suicide question and mental-health classification are independent? Perform the required hypothesis test at the 0.05 level of significance?
Q2. A researcher decided to compare the theoretical distribution of M&M candy colors to a sample of three randomly selected bags of the candy. The theoretical distribution is
Color Percentage
Brown 30
Yellow 20
Red 20
Orange 10
Green 10
Blue 10
From the three bags of candy purchased from different stores, the distribution of the colors was
Color Frequency
Brown 152
Yellow 114
Red 106
Orange 51
Green 43
Blue 43
Does the data indicate that the color distribution of M&Ms is the same as the distribution claimed by the company? Use the 0.05 level of significance.
Q3. A poll was taken to determine the feelings of voters toward instituting regional (vice state) primary elections for presidential candidates. Voters were asked to state a party affiliation and express their opinion on regional primaries. The results are below.
|
|
|
Response
|
|
|
|
Good Idea
|
Poor Idea
|
No Opinion
|
Total
|
|
Affiliation
|
Rep
|
266
|
266
|
186
|
718
|
|
Dem
|
308
|
251
|
176
|
735
|
|
Ind
|
28
|
27
|
21
|
76
|
|
Total
|
602
|
544
|
383
|
1529
|
At the 0.05 level of significance, do the data suggest that the opinions of voters on the issue of regional primaries are associated with political affiliation?