In: Statistics and Probability
Below you see how many men and women studied sociology and political science.
Men | Women | |
Political science | 138 | 163 |
Sociology | 74 | 106 |
Give the p-value associated with the test statistic that indicates whether the proportion of female students in political science is smaller than the proportion of female students in sociology. Please round all values to 5 decimal points.
First the proportions of women in the 2 groups are found. Then we state the null and alternate hypothesis. Then the test statistic is calculated using the formula mentioned. The p value for the test statistic is obtained from STATKEY(image attached for reference).