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Anit [1.1K]
3 years ago
9

Explain the difference between observed frequency and expected frequency as it relates to Chi-Square test.

Mathematics
1 answer:
emmasim [6.3K]3 years ago
5 0

Answer:

Step-by-step explanation:

A Chi-square test is used to test the test of independence between rows and columns, contingency tables. It is a test related to frequencies. The observed frequency is a given statistical frequency known as the actual frequency,  the expected frequency is known as the theoretical frequency is derived from the study by using the sum total of the row and total in the column divided by their corresponding sample size.

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A vertical line contains the points 3,2 and 3,6 use these points and the formula for slope to explain why a vertical lines slope
Dahasolnce [82]

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (3, 6)

m = \frac{6-2}{3-3} = \frac{4}{0}

Since division by zero is undefined then the slope of the vertical line is undefined.

4 0
3 years ago
Find the roots of the parabola given by the following equation <br> 2x^2+5X-9=2x
natta225 [31]

Answer:

x=-3\:or\:x=\frac{3}{2}

Step-by-step explanation:

The given parabola has equation

2x^2+5x-9=2x

We rewrite in standard form to obtain:

2x^2+5x-2x-9=0

2x^2+3x-9=0

Split the middle terms to get:

2x^2+6x-3x-9=0

Factor by grouping:

2x(x+3)-3(x+3)=0

(x+3)(2x-3)=0

x=-3\:or\:x=\frac{3}{2}

7 0
3 years ago
A football game lasted 3.15 hours. how many seconds did the game last? if necessary, round your answer to the nearest tenth of a
Eva8 [605]
It would be 11340 seconds. 
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6 0
4 years ago
Read 2 more answers
An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by th
monitta

Answer:

a) n =1623

b) ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

Step-by-step explanation:

1) Notation and definitions

n random sample taken

\hat p=0.19 estimated proportion of customers are not satisfied with the service provided by the local dealer

Confidence =0.96 or 96%

Me= 0.02 represent the margin of error

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 96% of confidence, our significance level would be given by \alpha=1-0.96=0.04 and \alpha/2 =0.02. And the critical value would be given by:

z_{\alpha/2}=-2.0538, z_{1-\alpha/2}=2.0538

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.02 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.19(1-0.19)}{(\frac{0.02}{2.0538})^2}=1622.912  

And rounded up we have that n=1623

Part b

The margin of error is given by:

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    

So then if w replace the value of n obtained from part a we got:

ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

3 0
3 years ago
Can someone help me with the question in the image. if correct i will mark as brainliest
Alex777 [14]

Answer:

Multiply~the~length~of~the~leg~by~\sqrt{2}~to~arrive~at~the~length of~the~hypotenuse = 6.

Step-by-step explanation:

To~find~the~length~of~the~ hypotenuse,~we~multiply~the~length~of~the~leg by~\sqrt{2}:

3\sqrt{2} *\sqrt{2}=3*2=6

So~your~answer~to~this~question~is~option"b"

Hope~this~helps!

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