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MrRissso [65]
2 years ago
10

3 3/4 / 2/5 = what? I'm struggling

Mathematics
1 answer:
Soloha48 [4]2 years ago
3 0

Lets convert 3 3/4 into improper fraction first.

3\frac{3}{4}  =  \frac{3 \times 4 + 3}{4}  \\  =  \frac{15}{4}

\frac{3\frac{3}{4} }{ \frac{2}{5} }  \\  =  \frac{15}{4}  \div  \frac{2}{5} \\  =  \frac{15}{4}   \times  \frac{5}{2}  \\  =  \frac{75}{6}  \\  =  \frac{25}{2}  \: or12  \frac{1}{2} or \: 12.5

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Answer:

We reject H₀  the actual percentage of type A donations differs from 40%

Step-by-step explanation:

Sample information:

sample size   n = 146

Type A   x₁  =  81   and   p₁  = 81 / 146     p₁  =  0,5547

then  q₁   =  1 - p₁    q₁  =  1  -  0,5547    q₁  =  0,4453

We choose as significance level  α  = 5%  α = 0,05   α /2  = 0,025

from z-table we find   z (c) = 1,96

National % of the population  ( μ  = 40 %  μ = 0,4 )

Test hypothesis

Null hypothesis                           H₀           p₁  =  μ

Alternative Hypothesis              Hₐ           p₁   ≠ μ

The Alternative hypothesis indicates that the test is a two-tail test

z(s) =  ( p₁  -   μ )/ √ p₁*q₁ / n

z(s) =  ( 0,5547  -  0,40 )/ √ 0,5547*0,4453 / 146

z(s) =  0,1547 / 0,041

z(s) = 3,77

Comparing  z(s)  and z(c)

z(s) > z(c)  

z(s) is in the rejection region. We reject H₀. Sample does not give evidence to support that the actual percentage of type A donations is equal to the national population

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