After a lot of hard work, a studio releases a new video game. The studio believes that the game will be liked by players. In particular, the studio claims that the mean player rating, μ, will be higher than 78. In a random sample of 36 players, the mean rating is 80.4. Assume the population standard deviation of the ratings is known to be 13.8. Is there enough evidence to support the claim that the mean player rating is higher than 78? Perform a hypothesis test, using the 0.05 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: H₁:0 • 20.05 is the value that cuts off an area of 0.05 in the right tail. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed н Step 2: Enter the critical value(s). (Round to 3 decimal places.) ロ<ロ • The test statistic has a normal distribution and the value is given by z= Step 3: Enter the test statistic. (Round to 3 decimal places.) ロマロ X (b) Perform a hypothesis test. The test statistic has a normal distribution (so the test is a "Z-test"). Here is some other information to help you with your test. X OSO 0=0 0*0 O 04- 0.3+ O>O 0.2+ 0.1+ S X S (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by the studio. O Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean player rating is higher than 78. O Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean player rating is higher than 78. O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean player rating is higher than 78. O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean player rating is higher than 78. X