The table below summarizes data from a survey of a sample of women. Using a 0.01 significance level, and assuming that the sample sizes of 900 men and 300 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? what is the test static? what is the critical value? what is th P-value? Gender of Interviewer Man Woman Women who agree 572 243 Women who disagree 328 57 Chi-square
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
The table below summarizes data from a survey of a sample of women. Using a
0.01 significance level, and assuming that the sample sizes of
900 men and
300 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women?
what is the test static?
what is the critical value?
what is th P-value?
|
|
|
Gender of Interviewer |
|
|
|
|
Man |
Woman |
|
Women who agree |
|
572 |
243 |
|
Women who disagree |
|
328 |
57 |
Chi-square
|
Degrees of Freedom
|
0.995
|
0.99
|
0.975
|
0.95
|
0.90
|
0.10
|
0.05
|
0.025
|
0.01
|
0.005
|
|---|---|---|---|---|---|---|---|---|---|---|
|
1
|
-
|
-
|
0.001
|
0.004
|
0.016
|
2.706
|
3.841
|
5.024
|
6.635
|
7.879
|
|
2
|
0.010
|
0.020
|
0.051
|
0.103
|
0.211
|
4.605
|
5.991
|
7.378
|
9.210
|
10.597
|
|
3
|
0.072
|
0.115
|
0.216
|
0.352
|
0.584
|
6.251
|
7.815
|
9.348
|
11.345
|
12.838
|
|
4
|
0.207
|
0.297
|
0.484
|
0.711
|
1.064
|
7.779
|
9.488
|
11.143
|
13.277
|
14.860
|
|
5
|
0.412
|
0.554
|
0.831
|
1.145
|
1.610
|
9.236
|
11.071
|
12.833
|
15.086
|
16.750
|
|
6
|
0.676
|
0.872
|
1.237
|
1.635
|
2.204
|
10.645
|
12.592
|
14.449
|
16.812
|
18.548
|
|
7
|
0.989
|
1.239
|
1.690
|
2.167
|
2.833
|
12.017
|
14.067
|
16.013
|
18.475
|
20.278
|
|
8
|
1.344
|
1.646
|
2.180
|
2.733
|
3.490
|
13.362
|
15.507
|
17.535
|
20.090
|
21.955
|
|
9
|
1.735
|
2.088
|
2.700
|
3.325
|
4.168
|
14.684
|
16.919
|
19.023
|
21.666
|
23.589
|
|
10
|
2.156
|
2.558
|
3.247
|
3.940
|
4.865
|
15.987
|
18.307
|
20.483
|
23.209
|
25.188
|
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