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ehidna [41]
3 years ago
5

Marking brainliest!!!

Mathematics
2 answers:
Furkat [3]3 years ago
7 0
11 A
12 C
13 1
14 D
15 B
16 2
17 C
18 9
arlik [135]3 years ago
5 0

11 OPTION IS A

12 OPRION IS C

13 ANSWER IS 1

14 OPTION IS D

15 OPTION IS B

16 ANSWER IS 2

17 OPTION IS C

18 ANSWER IS 9

pls mark me as the brainliset hope it helps you

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The estimate of the population proportion should be within plus or minus 0.02, with a 90% level of confidence. The best estimate
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Answer:

The sample size required is 910.

Step-by-step explanation:

The confidence interval for population proportion is:

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

The margin of error is:

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

Given:

\hat p = 0.16\\MOE= 0.02\\Confidence\ level =0.90

The critical value of <em>z</em> for 90% confidence level is:

z_{\alpha /2}=z_{0.10/2}=z_{0.05}=1.645 *Use a standard normal table.

Compute the sample size required as follows:

MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }\\0.02=1.645\times \sqrt{\frac{0.16(1-0.16)}{n} }\\n=\frac{(1.645)^{2}\times 0.16\times (1-0.16)}{(0.02)^{2}} \\=909.2244\\\approx910

Thus, the sample size required is 910.

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