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 85. In a random sample of 39 players, the mean rating is 88.6. Assume the population standard deviation of the ratings is known to be 23.6. Is there enough evidence to support the claim that the mean player rating is higher than 85? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. μ Ho: D H₁: 0 0<0 OSO 020 0=0 メロ X S ? (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. x-μ . The value of the test statistic is given by O √n • The p-value is the area under the curve to the right of the value of the test statistic. |x □口

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I don't understand how it's done exactly how u get the p value

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 85. In a random sample of 39 players, the mean rating is 88.6. Assume the population standard deviation of the
ratings is known to be 23.6.
Españo
Is there enough evidence to support the claim that the mean player rating is higher than 85? Perform a hypothesis test, using the 0.10 level of significance.
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
Ho: D
H₁:0
☐>0
0=0 □ロ
Aa
Ś ?
(b) Perform a Z-test and find the p-value.
Here is some information to help you with your Z-test.
. The value of the test statistic is given by
x-μ
O
√n
• The p-value is the area under the curve to the right of the value of the test statistic.
Standard Normal Distribution
0.4
Step 1: Select one-tailed or two-tailed.
O One-tailed
O Two-tailed
0.3-
Step 2: Enter the test statistic.
(Round to 3 decimal places.)
Step 3: Shade the area represented by
the p-value.
Check
Explanation
3
□<口
ロミロ
X
|x
X
OO
0.2-
2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility
Transcribed Image Text: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 85. In a random sample of 39 players, the mean rating is 88.6. Assume the population standard deviation of the ratings is known to be 23.6. Españo Is there enough evidence to support the claim that the mean player rating is higher than 85? Perform a hypothesis test, using the 0.10 level of significance. (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho: D H₁:0 ☐>0 0=0 □ロ Aa Ś ? (b) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. . The value of the test statistic is given by x-μ O √n • The p-value is the area under the curve to the right of the value of the test statistic. Standard Normal Distribution 0.4 Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 0.3- Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. Check Explanation 3 □<口 ロミロ X |x X OO 0.2- 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility
esis tests for the population mean using...
Standard Normal Distribution
Step 1: Select one-tailed or two-tailed.
O One-tailed
OTwo-tailed
Step 2: Enter the test statistic.
(Round to 3 decimal places.)
Step 3: Shade the area represented by
the p-value.
Step 4: Enter the p-value.
(Round to 3 decimal places.)
-3
-2
1
3
X
?
(c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claim made by the studio.
Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough
evidence to support the claim that the mean player rating is higher than 85.
Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not
enough evidence to support the claim that the mean player rating is higher than 85.
Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to
support the claim that the mean player rating is higher than 85.
O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough
evidence to support the claim that the mean player rating is higher than 85.
Check
Explanation
0.4
0.3-
0.2+
0.1 +
1.
2
+3
X
0/5
?
2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Ac
Transcribed Image Text:esis tests for the population mean using... Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed OTwo-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) -3 -2 1 3 X ? (c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claim made by the studio. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean player rating is higher than 85. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean player rating is higher than 85. Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean player rating is higher than 85. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean player rating is higher than 85. Check Explanation 0.4 0.3- 0.2+ 0.1 + 1. 2 +3 X 0/5 ? 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Ac
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