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1 year ago

60.60 increased by 60%

Mathematics

1 answer:

WINSTONCH [101]1 year ago

6 0

The answer is 96.96

From the question, we have

60.60 increased by 60%

= 60.60 + 60.60 * 60/100

= 96.96

Percentage:

Use the percentage formula to express a number or percentage in terms of 100. % simply indicates one out of one hundred. An expression for a number between 0 and 1 can be made using the percentage formula. It is a number that is represented as a fraction of 100. The sign % is used to denote it and it is mostly used to compare and calculate ratios. The formula for percentage increases is the ratio of the increased value to the original value multiplied by 100. It is described in percentage form. If anything is valued more highly, both its value and proportion will rise.

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Answer:

Step-by-step explanation:

Given that:

The sample proportion $\hat p = 0.70$

The sample size n = 1800

At 95% confidence interval level:

The level of significance = 1 - 0.95 = 0.05

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Thus, the Margin of Error E = $Z_{\alpha/2} \times \sqrt{\dfrac{\hat p ( 1- \hat p)}{n}}$

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$= 1.96 \times \sqrt{\dfrac{ 0.70 ( 0.30)}{1800}}$

$= 1.96 \times \sqrt{\dfrac{0.21}{1800}}$

$= 1.96 \times \sqrt{1.16666667\times 10^{-4}}$

the Margin of Error E = 0.021

At 95% C.I for the population proportion will be:

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

= 0.70 ± 0.021

= (0.70 - 0.021, 0.70 + 0.021)

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