Game consoles: A poll taken by the Software Usability Research Laboratory surveyed 341 video gamers, and 95 of them said that they prefer playing gameson a console, rather than a computer or hand-held device. An executive at a game console manufacturing company claims that the proportion of gamers whoprefer consoles differs from 29%. Does the poll provide convincing evidence that the claim is true? Use the a=0.05 level of significance and the P-value methodwith the TI-84 Plus calculator.Part: 0 / 5Part 1 of 5(a) State the appropriate null and alternate hypotheses.Ho:H₁:This hypothesis test is a (Choose one) test.Part: 1 / 5Part 2 of 5ContinueZ =XO☐ 0=0(b) Compute the value of the test statistic. Round the answer to two decimal places.Ś#pXŚSubmit Assigr© 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Ac Part 3 of 5(c) Compute the P-value. Round the answer to at least four decimal places.P-valuePart: 3 / 5Part 4 of 5Part: 4 / 5X(d) Determine whether to reject Ho.At the a=0.05 level, (Choose one) the null hypothesis H.Part 5 of 5Ś×Ś(e) State a conclusion.At the a=0.05 level of significance, there (Choose one) enough evidence to conclude that the proportion of gamers who prefer consoles differs from29%.

The sample size is n = 341.The number of successes is x = 95.We have to test whether the proportion of games who prefer consoles differs from 29% or not.(a). Null Hypothesis:The proportion of games who prefer consoles is 29%.Alternative Hypothesis:The proportion of games who prefer consoles differs from 29%.This hypothesis test is a two-tailed test.Rejection Rule:If p-value (=0.05), then reject the null hypothesis.(b). The value of the test statistic is z =0.46.(c). EXCEL command is “= 2 (1-NORMSDIST (z))”For p-value, enter in EXCEL as, “= 2 (1-NORMSDIST (0.46))”P-value = 0.6455Since p-value (=0.6455) > (=0.05), then do not reject the null hypothesis.(d). Decision: At the = 0.05 level, do not reject the null hypothesis .(e). conclusion:At the = 0.05 level of significance, there is not enough evidence to conclude that the proportion of games who prefer consoles differs from 29%.(a). This hypothesis test is a two-tailed test.(b). z =0.46(c). P-value = 0.6455(d). At the = 0.05 level, do not reject the null hypothesis .(e). At the = 0.05 level of significance, there is not enough evidence to conclude that the proportion of games who prefer consoles differs from 29%.