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 z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

356 dies were examined by an inspection probe and 244 of these passed the probe.

This means that $n = 356, \pi = \frac{244}{356} = 0.685$

95% confidence level

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

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.685 - 1.96\sqrt{\frac{0.685*0.315}{356}} = 0.637$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.685 + 1.96\sqrt{\frac{0.685*0.315}{356}} = 0.733$

The 95% confidence interval for the proportion of all dies that pass the probe is (0.637, 0.733).

4 0

3 years ago

An electronics store has 30 of one brand of digital camera in stock. The equation m(c) = 100c gives the amount of money made whe

Hatshy [7]

The answer to this problem is c0m100

6 0

3 years ago

square root of 3x + 12 = 9 is it extraneous or not extraneous? Solve the solution for X and show the steps pls!

OverLord2011 [107]

Answer:

X = -1

Step-by-step explanation:

Subtract 12 from both sides

Subtract 12 from 9 to get -3

Divide both sides by 3

Divide -3 by 3 to get -1

5 0

3 years ago

Seven less than the product of 5 and a number is 2

slava [35]

5x-7=2

hope this makes sense

6 0

4 years ago

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