Progressive Insurance would like to test the hypothesis that a difference exists in the proportion of students in 12th grade who text while driving when compared to the proportion of 11th grade drivers who text. A random sample of 160 12th grade students found that 84 texted while driving. A random sample of 175 11th grade students found that 70 texted while driving. If Population 1 is defined as 12th grade drivers and Population 2 is defined as 11th grade drivers, and using α = 0.05, the critical value for this hypothesis test would be .

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The hypothesis test comparing proportions is a two-tailed test, and with α = 0.05, the critical z-value for a two-tailed test is ±1.96.

Progressive Insurance Would Like to Test the Hypothesis That a Difference