Two Sample Proportion Z Test
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Two Sample Proportion Z Test. For example, suppose a phone company claims that 90% of its customers are satisfied with their service. Where and are the means of the two samples, δ is the hypothesized difference between the population means (0 if testing for equal means), s 1 and s 2 are the standard deviations of the two samples, and n 1 and n 2 are the sizes of the two samples.
Using sample data, we calculate the.
State the null hypothesis h 0 and the alternative hypothesis h a. Two normally distributed but independent populations, σ is unknown. Suppose we want to know if there is a difference in the proportion of residents who support a certain law in county a compared to the proportion who support the law in county b. Therefore, assuming the true population proportion is 0.5, a sample proportion of 0.556 is 2.504 standard deviations above the mean.
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