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Orlov [11]
3 years ago
6

The poll found that 38% of a random sample of 1012 American adults said they believe in ghosts. What is the lower bound for a 90

% confidence interval for the percentage of all American adults who believe in ghosts?
Mathematics
1 answer:
Brrunno [24]3 years ago
6 0

Answer:

The lower bound for a 90% confidence interval for the percentage of all American adults who believe in ghosts is 0.3549

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 = 1012, \pi = 0.38

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}} = 0.38 - 1.645\sqrt{\frac{0.38*0.62}{1012}} = 0.3549

The lower bound for a 90% confidence interval for the percentage of all American adults who believe in ghosts is 0.3549

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Given

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This gives:

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6 0
3 years ago
each of equal sides of an isosceles triangle is 4cm greater than its height .If the base of triangle is 24 cm ,calculate the per
Montano1993 [528]
<h3><u>Answer</u><u>:</u><u>-</u></h3>

192 cm²

<h3><u>Step</u><u> </u><u>by</u><u> step</u><u> explanation</u><u> </u><u>:</u><u>-</u></h3>

Let us take the height be x , then its side = x + 4. Now half of base will be 12 cm .

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=> 8x = 144-16

=> 8x = 128

=> x = 128/8

=> x = 16 cm .

Hence the height of ∆ is 16 cm .So the area will be half the product of base and altitude.

= 1/2 * 16 cm * 24cm .

= 192 cm²

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2 years ago
Sales rise from £400 a week to £504 a week. Calculate the percentage increase
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Answer:

26%

Step-by-step explanation:

percent change = (new number - old number)/(old number) * 100%

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percent change = (£504 - £400)/(£400) * 100% =

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5 0
3 years ago
You are a business owner and you want to know if you have made a profit
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Virty [35]

Answer:

7:12 a.m

Step-by-step explanation:

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