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Tcecarenko [31]
3 years ago
12

58% of 50 is what number

Mathematics
2 answers:
Tasya [4]3 years ago
8 0
If you would like to know how much is 58% of 50, you can calculate this using the following steps:

58% of 50 = 58% * 50 = 58/100 * 50 = 29

Result: 58% of 50 is 29.
faltersainse [42]3 years ago
7 0
<span>☃ Solve:
</span><span>☃ Y=P%*X
</span><span>☃ 58%*50
</span><span>☃ Convert to decimal:
</span>☃ 58%/100 = 0.58
<span>☃ 0.58*50=29
</span><span>☃ 29 is your answer. </span>

<span />
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a

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d

      If the confidence level is increased which will in turn reduce the level of significance but increase the critical value(Z_{\frac{\alpha }{2} }) and this will increase the margin of error( deduced from  the formula for margin of error i.e  E \ \alpha \  Z_{\frac{\alpha }{2} } ) which will make the confidence interval wider

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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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              Z_{\frac{\alpha }{2} }  =  1.96        

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} }

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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 d

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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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