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PPE6044
STATISTIK GUNAAN(ASSIGMENT 2)
STATISTIK GUNAAN
TUTORIAL 2
(Crosstab & Correlation)
1. Using the TT02 data, create a crosstab examining the relationship between HAPPY (general happiness) and MARITAL (marital status). Answer the following questions: Percentage of married individuals are “very happy” Percentage of divorced individuals who are “very happy” Percentage of never married individuals who are “very happy” Pearson’s Chi square value Pearson’s Chi squaresignificance level Is the relationship statistically significant? How would you interpret this result
2. Is there a relationship between a person’s age (AGE) and the number of hours spent per day watching TV (TVHOURS)? Use TT02 data to test this relationship.Answer the following questions: Correlation Significance level Is the relationship statistically significant? Do people tend to watch more or less tv as they age?
ANSWER QUESTION 1:
Percentage of married individuals are “very happy”
Percentage of divorced individuals who are “very happy”
Percentage of never married individuals who are “very happy”
Case Processing SummaryCases
Valid Missing TotalN Percent N Percent N Percent
MARITAL STATUS * GENERAL HAPPINESS
1337 47.5% 1475 52.5% 2812 100.0%
MARITAL STATUS * GENERAL HAPPINESS CROSSTABULATIONGENERAL HAPPINESS Total
VERY HAPPY
PRETTY HAPPY
NOT TOO
HAPPYMARITAL STATUS
MARRIED
Count 287 342 50 679% within MARITAL STATUS
42.3% 50.4% 7.4% 100.0%
% within GENERAL HAPPINESS
68.5% 46.3% 27.8% 50.8%
% of Total 21.5% 25.6% 3.7% 50.8%
WIDOWED
Count 21 54 28 103% within MARITAL STATUS
20.4% 52.4% 27.2% 100.0%
% within GENERAL HAPPINESS
5.0% 7.3% 15.6% 7.7%
% of Total 1.6% 4.0% 2.1% 7.7%DIVORCE Count 35 128 39 202
D
% within MARITAL STATUS
17.3% 63.4% 19.3% 100.0%
% within GENERAL HAPPINESS
8.4% 17.3% 21.7% 15.1%
% of Total 2.6% 9.6% 2.9% 15.1%
SEPARATED
Count 5 25 17 47% within MARITAL STATUS
10.6% 53.2% 36.2% 100.0%
% within GENERAL HAPPINESS
1.2% 3.4% 9.4% 3.5%
% of Total 0.4% 1.9% 1.3% 3.5%
NEVER MARRIED
Count 71 189 46 306% within MARITAL STATUS
23.2% 61.8% 15.0% 100.0%
% within GENERAL HAPPINESS
16.9% 25.6% 25.6% 22.9%
% of Total 5.3% 14.1% 3.4% 22.9%
Total
Count 419 738 180 1337% within MARITAL STATUS
31.3% 55.2% 13.5% 100.0%
% within GENERAL HAPPINESS
100.0% 100.0% 100.0% 100.0%
% of Total 31.3% 55.2% 13.5% 100.0%
Pearson’s Chi square value
Pearson’s Chi square significance level
Chi-Square TestsValue df Asymp. Sig.
(2-sided)Pearson Chi-Square 120.097a 8 .000Likelihood Ratio 117.350 8 .000Linear-by-Linear Association
54.295 1 .000
N of Valid Cases 1337a. 0 cells (0.0%) have expected count less than 5. The minimum expected count is 6.33.
Symmetric MeasuresValue Approx.
Sig.Nominal by Nominal
Phi .300 .000Cramer's V .212 .000
N of Valid Cases 1337
Is the relationship statistically significant?
Yes significant.
How would you interpret this result?
The p-value, denoted by “Asymp.Sig. (2-tailed)”, is .000. This means that there's a 0%=- chance
to find the observed (or a larger) degree of association between the variables if they're perfectly
independent in the population. So, df (= 8) and p-value as in “we observed a strong relationship
between the general happiness and marital status , χ2(8) =120.097a, p = .000.”
ANSWER : QUESTION 2
Correlation
Significance level
Descriptive StatisticsMean Std.
DeviationN
HOURS PER DAY WATCHING TV
2.87 2.617 899
AGE OF RESPONDENT
45.96 16.804 2803
CorrelationsHOURS PER
DAY WATCHING
TV
AGE OF RESPONDENT
HOURS PER DAY WATCHING TV
Pearson Correlation 1 .157**
Sig. (2-tailed) .000N 899 895
AGE OF RESPONDENTPearson Correlation
.157** 1
Sig. (2-tailed) .000N 895 2803
**. Correlation is significant at the 0.01 level (2-tailed).
Is the relationship statistically significant?
The Sig. (2-Tailed) value in our example is 0.00. This value is less than .05. Because of this, we
can conclude that there is a statistically significant correlation between a person’s age (AGE) and
the number of hours spent per day watching TV (TVHOURS)
Do people tend to watch more or less as they age?
Yes. People tend to watch less TV as they age.