In: Statistics and Probability
A survey was conducted to assess sex differences in knowledge of birth control. Knowledge of Birth Control SEX Male Female Total Low 22 12 34 Moderate 30 25 55 High 18 43 61 Total 70 80 150
(a) If you were to calculate Lambda to determine the strength of this association, and obtain a value of 0.135, what does this measure tell us? Provide a full verbal conclusion.
(b) Assess whether this relationship is statistically significant (at the 0.05 level). Provide a statistical and verbal conclusion in words. (You do not need to show any of your calculations.)
ANSWER::
(a)
0.135 indicates the extent to which the independent variable reduces the error associated with predicting the value of a dependent variable.
(b)
Col 1 | Col 2 | Total | ||
Row 1 | Observed | 22 | 12 | 34 |
Expected | 15.87 | 18.13 | 34.00 | |
O - E | 6.13 | -6.13 | 0.00 | |
(O - E)² / E | 2.37 | 2.07 | 4.45 | |
Row 2 | Observed | 30 | 25 | 55 |
Expected | 25.67 | 29.33 | 55.00 | |
O - E | 4.33 | -4.33 | 0.00 | |
(O - E)² / E | 0.73 | 0.64 | 1.37 | |
Row 3 | Observed | 18 | 43 | 61 |
Expected | 28.47 | 32.53 | 61.00 | |
O - E | -10.47 | 10.47 | 0.00 | |
(O - E)² / E | 3.85 | 3.37 | 7.22 | |
Total | Observed | 70 | 80 | 150 |
Expected | 70.00 | 80.00 | 150.00 | |
O - E | 0.00 | 0.00 | 0.00 | |
(O - E)² / E | 6.95 | 6.08 | 13.03 | |
13.03 | chi-square | |||
2 | df | |||
.0015 | p-value |
The relationship is statistically significant. (p < .05)
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