A poll surveyed 341 video gamers, and 126 of them said that they prefer playing games on a console, rather than a computer or hand-held device. An executive at a game console manufacturing company claims that more than 30% of gamers prefer consoles. Does the poll provide convincing evidence that the claim is true? Use the =α0.05 level of significance with the P -value method and Excel. Part 1 of 5 (a)State the appropriate null and alternate hypotheses. H0 : =p0.3 H1 : >p0.3 This hypothesis test is a ▼right-tailed test. Part: 1 / 5 1 of 5 Parts Complete Part 2 of 5 (b)Compute the test statistic. Do not round intermediate steps. Round the answer to two decimal places. =z. Using the result from part (b), compute the
P
-value. Round the final answer to at least four decimal places.