Select True or False from each pull-down menu, depending on whether the corresponding statement is true or false.

? True False  1. In a one-tail test, the $p-$value is found to be equal to 0.0352. If the test had been two-tail, the $p-$value would have been 0.0704.

? True False  2. A professor of statistics refutes the claim that the proportion of Republican voters in Michigan is at most 44%. To test this claim, the hypotheses: $H_0: p=0.44$ vs. $H_1: p \not= 0.44$, should be used.

? True False  3. The test statistic used to test hypotheses about the population variance $\sigma^2$ is chi-square distributed with $n-1$ degrees of freedom when the population is normally distributed with variance equal to $\sigma^2$.

? True False  4. A two-tail test of the population proportion produces a test statistic $z=1.77$. The $p-$value of the test is equal to 0.4616.