Answer:
x
=
−
500
b
−
50
a
+
R
±
√
250000
b
2
+
2500
a
2
−
100
a
R
+
1000
b
R
+
R
2
+
50000
a
b
2
a
b
Step-by-step explanation:
Answer:
z≈3.16
p≈0.001
we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.
Step-by-step explanation:
As a result of step 2, we can assume normal distribution for the null hypothesis
<em>step 3:</em>
z statistic is computed as follows:
z=
where
- X is the proportion of correct answers in the test (
) - M is the expected proportion of correct answers according to the null hypothesis (0.5)
- p is the probability of correct answer (0.5)
- N is the total number of questions in the test (40)
z=
≈ 3.16
And corresponding p value for the z-statistic is p≈0.001.
Since p<0.05, we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.
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Inverse both sides

Multiply sides by 4



Subtract sides 8


Done...
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The answer is 0.91 because it is