1. Does ones regional location have an affect on their Political affiliation? To begin to investigate this situation data from 177 random voters was analyzed.
Political Affiliation
Democrat
Republican
West 39 27
Northeast 35 15
Southeast 17 44
a.) Find the Proportion of
Democrats among each
regional location.
b.) Make a Bar Chart for
these Prop.
c.) Find the Expected Values for
each cell.
d.) Find evidence of an affect.
33.93
0.591
32.07
Location
25.71
0.700
24.29
31.36
0.279
29.64
% of Dem.
W NE SE
Regional Location

2. Does ones regional location have an affect on their Political affiliation? To begin to investigate this situation data from 177 random voters was analyzed.
Political Affiliation
Democrat
Republican
West 39 27
Northeast 35 15
Southeast 17 44
d.) Find evidence of an affect.
33.93
32.07
Location
25.71
24.29
31.36
29.64
X2 Test of
Independence
H0: Political Affiliation is INDEPENDENT of Location
Ha: Political Affiliation is NOT INDEPENDENT of Location
P-Value =
X2cdf (22.01, E99, 2) = 0
X2 = 22.01
Since the P-Value is less than
α = we will REJECT H0 . There is evidence that Political Affiliation is NOT INDEPENDENT of Location.
SRS – stated
All Expected Counts are 5 or greater.

3. d.) How does the X2 in (c) relate to the z in (b)?
What is the relationship between a 2-Proportion Z-Test and a X2-Test? To investigate, answer the following about the Titanic:
Female
Male
Alive
343
367
Dead
127
1364
TOTAL
470
1731
0.730
0.212
a.) Find the Proportion of Females and Males that Survived the Titanic.
b.) Determine whether or not there was a significant difference between the survival of a Female and a Male by conducting a 2-Prop Z-Test.
c.) Determine whether or not gender is independent of survival by conducting a X2-Test.
d.) How does the X2 in (c) relate to the z in (b)?

4. z = 21.295 X2 = 453.476 H0: pm = pw Ha: pm ≠ pw P-Value = 0
b.) pi = The true proportion of each gender that survived the titanic.
pm = Men and pw = Women
z =
H0: pm = pw Ha: pm ≠ pw
TWO Proportion
z – Test
P-Value = 0
Since the P-Value is less than α = the data IS significant . There is STRONG evidence to REJECT H0 . The proportion of men who survived does differs from that of women.
c.) H0: Gender is independent to survival.
Ha: There is an association between gender and survival.
X2 =
P-Value = 0
Since the P-Value is less than α = the data IS significant . There is strong evidence to REJECT H0 . There is strong evidence that suggests that gender is associated to survival.
d.) (z = )2 = (X2 = )

5. #18
Medical researchers followed an SRS of 6272 Swedish men for 30 years to see if there was an association between the amount of fish in their diet and Prostate Cancer. Is there any evidence of such an association?
Fish
Consumption
Total
Subjects
Prostate
Cancer
Never
124 14
Small part of diet
2621
201
Moderate part
2978
209
Large part
549 42
9.21
114.79
194.74
221.26
40.79
508.21
NO Prostate
Cancer 14
110
201
2420
209
2769 42
507
H0: There is NO relationship between fish consumption and the development of Prostate Cancer.
Ha: There is relationship between fish consumption and the development of Prostate Cancer.
X2 Test of
Independence
P-Value =
X2cdf (3.677, E99, 3) =
X2 = 3.677

6. WARM – UP
Medical researchers followed 6272 Swedish men for 30 years to see if there was an association between the amount of fish in their diet and Prostate Cancer. Is there any evidence of such an association?
Fish
Consumption
Total
Subjects
Prostate
Cancer
Never
124 14
Small part of diet
2621
201
Moderate part
2978
209
Large part
549 42
9.21
114.79
194.74
221.26
40.79
508.21
NO Prostate
Cancer 14
110
201
2420
209
2769 42
507
H0: There is NO relationship between fish consumption and the development of Prostate Cancer.
Ha: There is relationship between fish consumption and the development of Prostate Cancer.
X2 Test of
Independence
P-Value =
X2cdf (3.677, E99, 3) =
X2 = 3.677
CONDITIONS
SRS - Stated √
All Expected Counts are 1 or greater. √
No more than 20% of the Expected Counts are less than 5. √
Since the P-Value is NOT less than α = 0.05 there is NO evidence to reject H0. There is NO evidence of a relationship between fish consumption and Prostate Cancer.

7. Warm-Up: The maker of Trick Dice sells you a weighted die in which “5” is supposed to show up 35% of the time with the other outcomes equally divided among the rest of the time. You roll the die 200 times. Based on the following results, is the die in question really a weighted die favoring ‘5’? 1 2 3 4 5 6
OBS.
DATA 26 35 20 55 29
X2 Goodness of Fit Test
EXP.
DATA 26 70
H0: The die is weighted so that ‘5’ appears 35% of the time!
Ha: The die is NOT weighted so that ‘5’ appears 35% of the time!
X2 =
P-Value =

8. All Expected Counts are 1 or greater.
Since the P-Value is less than α = there is evidence to REJECT H0 . There is evidence that the die is NOT weighted as indicated by the Trick Dice maker.
CONDITIONS
SRS – randomly tossed
All Expected Counts are 1 or greater.
No more than 20% of the Expected Counts are less than 5.
EXP.
DATA 26 70