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A population proportion is 0.3. A sample of size 150 will be taken and the sample...

A population proportion is 0.3. A sample of size 150 will be taken and the sample proportion will be used to estimate the population proportion. Use z-table. Round your answers to four decimal places.

a. What is the probability that the sample proportion will be within ±0.04 of the population proportion?

b. What is the probability that the sample proportion will be within ±0.07 of the population proportion?

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Ans: A population proportion is 0.3. A sample of size 150 will be taken and the sample proportion will be used to estimate the population proportion.

as per given population proportion (p) =0.3

Sampal size (n) =150

ツラwithin t 0.04 P-0.04 and P+ ооч 3-0.04 and 0.3 to 04 o 26 and o314 We have to pind ρ(0.26(PCo.34 0-34 -o.3 0 26 0 3 50 1 、SD ㆁ . 8577-0.1423 The probablity hat the Sample Proportion uwill be within t o 04 of the Populathon Proportion is o715 mple P oion P- 6 07 and Pt o OT 0.3-0 o1 and o 3 to 07 o 23 and o 37 we have to find p Co 23 P0370.31 -о:3 =p10, 23-0.3 150 ブ-The probability that the sample proportion will be within + .רס of the Population Propotion is o 939 8

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