Runners in the 2007 Shamrock Marathon were surveyed about their experiences duri
ID: 3224390 • Letter: R
Question
Runners in the 2007 Shamrock Marathon were surveyed about their experiences during the event. The researchers were interested in examining the association between the gender of the runner (male/female) and the event completed (marathon, ½ marathon, 8K). The data are presented in the following contingency table.
Gender * Shamrock Event Crosstabulation
Which race did you run this year?
Total
Marathon
Half Marathon
8K
What is your gender?
Male
Count
546
724
339
1609
Expected Count
395.2
802.1
411.7
1609.0
% within What is your gender?
33.9%
45.0%
21.1%
100.0%
% within Which race did you run this year?
61.4%
40.1%
36.6%
44.5%
% of Total
15.1%
20.0%
9.4%
44.5%
Female
Count
343
1080
587
2010
Expected Count
493.8
1001.9
514.3
2010.0
% within What is your gender?
17.1%
53.7%
29.2%
100.0%
% within Which race did you run this year?
38.6%
59.9%
63.4%
55.5%
% of Total
9.5%
29.8%
16.2%
55.5%
Total
Count
889
1804
926
3619
Expected Count
889.0
1804.0
926.0
3619.0
% within What is your gender?
24.6%
49.8%
25.6%
100.0%
% within Which race did you run this year?
100.0%
100.0%
100.0%
100.0%
% of Total
24.6%
49.8%
25.6%
100.0%
#1) What is the appropriate statistical procedure to test H0:Pmales=PFemales in race run at the 2007 Shamrock Marathon Event?
a. dependent t-test
b. 2 test of independence
c. oneway ANOVA
d. repeated measures ANOVA
e. Pearson product moment correlation coefficient
#2) What is the critical statistical value to test H0:Pmales=PFemales in participation in the three Shamrock Marathon events in 2007 at =0.05?
a. 3.84
b. 5.99
c. 11.87
d. 12.59
e. 15.51
#3) What is the calculated statistical value to test H0:PMales=PFemales in participation in the three Shamrock Marathon events in 2007?
a. 2.71
b. 56.21
c. 110.55
d. 140.32
e. 288.79
#4) Select the correct conclusion.
a. The proportion of females participating in the marathon (38.6%) is significantly less than the proportion of males participating in the marathon (61.4%)
b. Over half of the registered females participated in the half-marathon with females representing 59.9% of half-marathon participants.
c. There is no difference between males and females in percent participation in the race events.
d. A and B are both correct.
e. B and C are both correct.
Gender * Shamrock Event Crosstabulation
Which race did you run this year?
Total
Marathon
Half Marathon
8K
What is your gender?
Male
Count
546
724
339
1609
Expected Count
395.2
802.1
411.7
1609.0
% within What is your gender?
33.9%
45.0%
21.1%
100.0%
% within Which race did you run this year?
61.4%
40.1%
36.6%
44.5%
% of Total
15.1%
20.0%
9.4%
44.5%
Female
Count
343
1080
587
2010
Expected Count
493.8
1001.9
514.3
2010.0
% within What is your gender?
17.1%
53.7%
29.2%
100.0%
% within Which race did you run this year?
38.6%
59.9%
63.4%
55.5%
% of Total
9.5%
29.8%
16.2%
55.5%
Total
Count
889
1804
926
3619
Expected Count
889.0
1804.0
926.0
3619.0
% within What is your gender?
24.6%
49.8%
25.6%
100.0%
% within Which race did you run this year?
100.0%
100.0%
100.0%
100.0%
% of Total
24.6%
49.8%
25.6%
100.0%
Explanation / Answer
1) What is the appropriate statistical procedure to test H0:Pmales=PFemales in race run at the 2007 Shamrock Marathon Event?
Answer : 2 test of independence
2) What is the critical statistical value to test H0:Pmales=PFemales in participation in the three Shamrock Marathon events in 2007 at =0.05?
Degrees o freedom = (r-1)*(c-1) = 2
Answer : 5.99
3) What is the calculated statistical value to test H0:PMales=PFemales in participation in the three Shamrock Marathon events in 2007?
Summing above value we get the test statistic value.
Answer :140.32
4) Select the correct conclusion.
Answer : There is no difference between males and females in percent participation in the race events.
Calculation: Male 57.4989 7.5962 12.8370 Obtained by using chi-sq formula : (Oi-Ei)^2/Ei Female 46.0277 6.0807 10.2760Related Questions
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