The euro. Shortly after the introduction of the euro coin in Belgium, newspapers around the world published articles claiming the coin is biased. The stories were based on reports that someone had...

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The euro. Shortly after the introduction of the euro coin in Belgium, newspapers around the world published articles claiming the coin is biased. The stories were based on reports that someone had spun the coin 250 times and gotten 140 heads that s 56% heads. Do you think this is evidence that spinning a euro is unfair? Explain.

Answered Same DayDec 25, 2021

Answer To: The euro. Shortly after the introduction of the euro coin in Belgium, newspapers around the world...

David answered on Dec 25 2021

121 Votes

We want to test hypothesis:
H0 : p = 0.5 (Null Hypothesis)
Ha : p 6= 0.5 (Alternative Hypothesis, also called H1)
This is two tailed test.
Sample proportion, p̂ = x
n
= 140250 = 0.56,n = 250
and claimed proportion, P = 0.5
Significance level, α = 0.05 (If no value is given, we take level of 0.05)
now, calculating statistics
Standard Deviation of p̂, σp̂ =
√
P × (1− P )
n
=
√
0.5× (1− 0.5)
250 ≈ 0.0316
Test...

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The euro. Shortly after the introduction of the euro coin in Belgium, newspapers around the world published articles claiming the coin is biased. The stories were based on reports that someone had...

Answer To: The euro. Shortly after the introduction of the euro coin in Belgium, newspapers around the world...

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