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dmitriy555 [2]
1 year ago
14

Convert0.9285714 into a fraction

Mathematics
1 answer:
jenyasd209 [6]1 year ago
8 0

0.9285714 has 7 digits after the decimal sign. So it is equivalent to the fraction with a numerator 9285714 and a denominator 10000000

\bf{0.9285714=\dfrac{9285714}{10000000},reduced \ by \ 2 \ : \dfrac{4642857 }{5000000}   }

Result:

The decimal number 0.9285714 is equivalent to the fraction

4642857 / 5000000

\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}

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Answer: (0.076, 0.140)

Step-by-step explanation:

Confidence interval for population proportion (p) is given by :-

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

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As per given , we have

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Sample proportion of Independents\hat{p}=\dfrac{x}{n}=\dfrac{54}{500}=0.108

Significance level 98% confidence level : \alpha=1-0.98=0.02

By using z-table , Critical value : z_{\alpha/2}=z_{0.01}=2.33

The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-

0.108\pm (2.33)\sqrt{\dfrac{0.108(1-0.108)}{500}}\\\\=0.108\pm2.33\times0.013880634\\\\=0.108\pm0.03234187722\\\\\approx0.108\pm0.032=(0.108-0.032,\ 0.108+0.032)=(0.076,\ 0.140)

Hence, the 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters.= (0.076, 0.140)

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