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Nutka1998 [239]
3 years ago
9

TEA samples its test questions for the TAKS test every year by field testing the questions. they tell schools to test certain cl

asses at specific schools throughout the state. what kind of sampling are they using?
a-Simple Random
b-cluster sampling
c-stratified sampling
d-convenience sampling
e-systematic sampling
Mathematics
1 answer:
Elina [12.6K]3 years ago
7 0
I think it is E.??? I am almost positive.
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(a) Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the prop
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Answer:

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Step-by-step explanation:

(a)

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Confidence level = 98%

MOE = 0.02

n₁ = n₂ = n

\hat p_{1} = \hat p_{2} = \hat p = 0.50\ (\text{Assume})

Compute the sample sizes as follows:

MOE=z_{\alpha/2}\times\sqrt{\frac{2\times\hat p(1-\hat p)}{n}

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Thus, the sample sizes are 6787.

(b)

Now it is provided that:

\hat p_{1}=0.45\\\hat p_{2}=0.58

Compute the sample size as follows:

MOE=z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}

       n=\frac{(z_{\alpha/2})^{2}\times [\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})]}{MOE^{2}}

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Thus, the sample sizes are 6666.

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3 years ago
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