Answer:
Since 2.1387 is Greater Than 1.645;
we reject null hypothesis; we conclude that, the nickname is justified based on the data.
Step-by-step explanation:
Given the data in the question;
Null hypothesis H₀ : p = 0.262
Alternative Hypothesis H₁ : p > 0.262.
p" = 0.357
q = 1 - p = 1 - 0.262 = 0.738
n = 98
so;
z = (p" - p) / √(pq/n)
we substitute
z = (0.357 - 0.262) / √((0.262×0.738) / 98)
z = 0.095 / 0.04441869
z = 2.1387
at 5% CONFIDENCE INTERVAL
z-critical = 1.645
Since 2.1387 is Greater Than 1.645;
we reject null hypothesis; we conclude that, the nickname is justified based on the data.
We must remember that average is simply the sum of all the
scores divided by the number of scores. So:
165 = (157 + 161 + X) / 3
Calculating for the score of the third bowler X:
318 + X = 495
X = 177
Therefore the score of the third bowler must be 177 or
greater. Hence:
<span>X ≥ 177</span>
What are the answer choices?
but in my head, I would see substitution as the answer but like I said it would depend on the answer choices
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