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IgorLugansk [536]
2 years ago
6

10 is 8% of a, and 5 is 4% of b. c equals b/a. What is the value of c?? step by step explanation pls...

Mathematics
1 answer:
klio [65]2 years ago
5 0

Answer:

c = 1

Step-by-step explanation:

"10 is 8% of a":     0.08a = 10, or <u>a = (10/0.08)</u>

"5 is 4% of b":      0.04b =  5, or <u>b = (5/0.04)</u>

"c equals b/a":       c = (b/a)

----

What is the value of c?

c = (b/a)

c = ((5/0.04)/(10/0.08))

c = (5/0.04)*(0.08/10)

c = (5/10)*(0.08/0.04)

c = (1/2)*(2)

<u>c = 1</u>

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    While the point estimate of this parameter is  proportion of those that would rate their lives poorly enough to be considered "suffering". which is 25%  

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Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  1000

     The  population proportion is  \r p  = 0.25

     

Considering question a

   The population parameter of interest is the true proportion of Greek who are suffering

    While the point estimate of this parameter is  proportion of those that would rate their lives poorly enough to be considered "suffering". which is 25%  

Considering question b

The condition for constructing a confidence interval is

        n *  \r p >  5\  and  \   n(1 - \r p ) >5

So  

        1000 *  0.25 > 5 \  and \  1000 * (1-0.25 ) > 5

         250  > 5 \  and \  750> 5

Hence the condition  is met

Considering question c

    Given that the confidence level is  95%  then  the level of significance is mathematically evaluated as

          \alpha  =  100 - 95    

          \alpha  =  5 \%

          \alpha  =  0.05

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Generally the margin of error is mathematically represented as

         E =  Z_\frac{ \alpha }{2}  *  \sqrt{ \frac{\r p (1 - \r p ) }{n} }

substituting values

         E =  1.96  *  \sqrt{ \frac{ 0.25 (1 - 0.25 ) }{ 1000} }

         E =  0.027

The  95% confidence interval is mathematically represented as

            \r p  - E  <  p  <  \r p  + E

substituting values  

           0.25 -  0.027  <  p  < 0.25 + 0.027

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considering e

     Looking at the formula for margin of error if the we see that if the  sample size is increased the margin of error will reduce making the  confidence level narrower

   

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