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A presidential candidate wants to test the null hypothesis that she has the same support rate...

A presidential candidate wants to test the null hypothesis that she has the same support rate in Virginia and in Maryland. In a random sample from Virginia, 305 among 642 asked would vote for this candidate. In a random sample from Maryland, 367 among 712 asked would vote for this candidate. Perform a 2-sided test. What is the p-value?

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Answer #1

Given that,

Virginia : n1= 642 and x1 = 305

Maryland : n2 = 712 and x2 = 367

The null and the alternative hypotheses are,

Using TI-84 calculator we get,

Test statistic = Z = -1.48

since, it is two-tailed test,

p-value = 2 * P(Z < -1.48) = 2 * 0.0694 = 0.1388

=> p-value = 0.1388

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