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BaLLatris [955]
3 years ago
5

What is the area of the given shape?

Mathematics
2 answers:
AlekseyPX3 years ago
7 0
Sorry my hand writing isn’t the best but here is the work for it and the answer would be (228in)

goldenfox [79]3 years ago
5 0
Yes I believe that the answer is 228in
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Answer:

a) 0.0853

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a).

the probability of type I error if exactly 60% is calculated as :

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where p° is represented as <em>pI</em><em> </em>in the subsequent calculated steps below

   

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    = P  [\frac{p°-0.6}{\sqrt{\frac{0.6(1-0.6)}{500}}} >\frac{0.63-0.6}{\sqrt{\frac{0.6(1-0.6)}{500}}} ]

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b)

The probability of Type II error β is stated as:

β = P (Accept H₀ | H₁ is true)

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where p° is represented as <em>pI</em><em> </em>in the subsequent calculated steps below

  = P [\frac{p°-p} \sqrt{\frac{p(1-p)}{n} } }\leq \frac{0.63-p}{\sqrt{\frac{p(1-p)}{n} } } | p=0.75]

  = P [\frac{p°-0.6} \sqrt{\frac{0.75(1-0.75)}{500} } }\leq \frac{0.63-0.75}{\sqrt{\frac{0.75(1-0.75)}{500} } } ]

  = P[Z\leq\frac{0.63-0.75}{\sqrt{\frac{0.75(1-0.75)}{500} } } ]

  = P [Z ≤ -6.20]

  = Ф (-6.20)

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