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tresset_1 [31]
4 years ago
14

If we wanted to create a new 90% confidence interval from a different sample for the proportion of those with a two on one date

while keeping the margin of error at 0.05, what would the needed sample size be? Assume you have no prior knowledge of the proportion.
Mathematics
1 answer:
slava [35]4 years ago
3 0

Answer: 271

Step-by-step explanation:

The formula we use to find the sample size is given by :-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

, where z_{\alpha/2} is the two-tailed z-value for significance level of (\alpha)

p = prior estimation of the proportion

E = Margin of error.

If prior estimation of the proportion is unknown, then we take p= 0.5 , the formula becomes

n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2

n=0.25(\dfrac{z_{\alpha/2}}{E})^2

Given :   Margin of error : E= 0.05

Confidence level = 90%

Significance level \alpha=1-0.90=0.10

Using z-value table , Two-tailed z-value for significance level of 0.10

z_{\alpha/2}=1.645

Then, the required sample size would be :

n=0.25(\dfrac{1.645}{0.05})^2

Simplify,

n=270.6025\approx271

Hence, the required minimum sample size =271

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3 years ago
Professor Green is interested in determining the average SAT score for the entire population of individuals who took the SAT. Sh
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4 years ago
What is the value of 5 over 6 divided by 3 over 4
Kisachek [45]

Answer:

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7 0
3 years ago
Find the mode(s) for the given sample data.
ryzh [129]

Answer:

4.9 & 4.2

Step-by-step explanation:

First, we will have to define mode,

 

“Mode is the most frequently occurring value of the given data.”

The value with the greatest frequency is called mode. In order to find mode, we have to skim through the data. The value which is repeated most is the mode of the given data. A data can have more than one modes.

For the above data,

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4 0
4 years ago
Read 2 more answers
What are the angle measures of this problem
san4es73 [151]
The angles are the same magnitude so set them equal to each other and solve for x.
15x = 12x + 15
3x = 15
x = 5
Then plug 5 back into one of the angles.
12(5) + 15 = 75

ANSWER: 75°
7 0
3 years ago
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