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2 years ago

PLEASE HELP I HAVE 45 min to SUBMIT WILL GIVE BRAINLY

Mathematics

1 answer:

bija089 [108]2 years ago

8 0

Answer:

Step-by-step explanation:

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Ratio question<br> I will mark brainliest

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2 m - polyester fabric: 4, cotton fabric: 14

6 m - polyester fabric: 12, cotton fabric: 42

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9 m - polyester fabric: 18, cotton fabric: 63

check:

2 m: 4/14=2/7

6 m: 12/42=2/7

8 m: 16/56=2/7

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3 years ago

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3 years ago

In a sample of 70 stores of a certain company, 62 violated a scanner accuracy standard. It has been demonstrated that the condi

uysha [10]

Answer:

We need at least 243 stores.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

$n = 70, p = \frac{62}{70} = 0.886$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Determine the number of stores that must be sampled in order to estimate the true proportion to within 0.04 with 95% confidence using the large-sample method.

We need at least n stores.

n is found when M = 0.04. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.886*0.114}}{n}}$