Mathematics, 07.05.2020 04:08 india73

Construct a 90% confidence interval of the population proportion using the given information.

X= 175

n= 250

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Answer from: shelly1969

Tbe confidence interval marked the range of values for which the true population mean is estimated to be given a certain level of confidence. Hence, the confidence interval is (0.6523, 0.7477)

Since the sample size is large enough, we use the the Z distributuon :

Confidence interval is defined thus :

Mean ± margin of error

Margin of Error :

$Z = Z* \sqrt{\frac{pq}{n}}$ Mean, p = x/n = 175/250 = 0.7q = 1 - 0.7 = 0.3Zcritical at 90% = Z* = 1.645

Hence,

Margin of Error = $1.645 \sqrt{\frac{0.7\times 0.3 }{250}} = 0.0477$

Lower confidence boundary = 0.7 - 0.0290 = 0.6523

Upper confidence boundary = 0.7 + 0.0290 = 0.7477

Therefore, the confidence interval is (0.6523, 0.7477)

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Answer from: andrew412603

The 90% confidence interval of the population proportion is (0.6523, 0.7477).

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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 250, \pi = \frac{X}{n} = \frac{175}{250} = 0.7$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so Z = 1.645 .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.7 - 1.645\sqrt{\frac{0.7*0.3}{250}} = 0.6523$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.7 + 1.645\sqrt{\frac{0.7*0.3}{250}} = 0.7477$

The 90% confidence interval of the population proportion is (0.6523, 0.7477).

Answer from: Quest

hi, i am not sure about this one but i think its d,

hope this !

Which figure. does not appear to be congruent to the figure below

Answer from: Quest

all group life insurance is term insurance. actually it is annual renewable term and it is rated on the average age and claims experience of the entire group, which is called "experience rating." remember, this type of insurance has a 31-day grace period and is convertible to whole life upon leaving employment. a contributory group plan requires that both the employer and the employees pay part of the premium. at least 75% of those eligible must participate, so the group is sure to get most of the healthy employees as well as those that are sick.

step-by-step explanation:

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Construct a 90% confidence interval of the population proportion using the given information.
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