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3 years ago

Can u guys help if u help me I will help u

Mathematics

1 answer:

White raven [17]3 years ago

8 0

3 = 3000

2 = 2000

1 = 1000

980,304

14.49

(5,5)

10.

5 2/12

Bonus 5 1/6

11.

5 up 2 across

12.

eight and sixty-two hundredths

13.

3.0880

14.

15.

2 up 3 across

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Answer:

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Step-by-step explanation:

(a)

The information provided is:

Confidence level = 98%

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

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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(b)

Now it is provided that:

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

Compute the sample size as follows:

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

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

$=\frac{2.33^{2}\times [0.45(1-0.45)+0.58(1-0.58)]}{0.02^{2}}\\\\=6665.331975\\\\\approx 6666$

Thus, the sample sizes are 6666.

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