Statistics II20785 marksNumerical: test of proportionstest for difference between two means and two proportions
In location 1, there are 250 corona-positive cases out of 460 persons, and in location 2, 250 positive cases were reported out of 650 persons. Can it be concluded that the proportion of corona-positive cases is higher in location 1 compared to location 2? Test at a 10% level of significance.
In location 1, there are 250 corona-positive cases out of 460 persons, and in location 2, 250 positive cases were reported out of 650 persons. Can it be concluded that the proportion of corona-positive cases is higher in location 1 compared to location 2? Test at a 10% level of significance. [5]
Location 1 Location 2 --------- Sample size $n1 = 460$ $n2 = 650$ Positive cases $x1 = 250$ $x2 = 250$ Level of significance: $\alpha = 0.10$ --- $$\hat{p}1 = \frac{250}{460} = 0.5435$$ $$\hat{p}2 = \frac{250}{650} = 0.3846$$ --- - $H0: P1 = P2$ (proportions equal in both locations) - $H1: P1 P2$...