1.) Divide the percentage discount by 100 to convert it into decimal. For example, if a shop offers a 40 per cent discount, divide 40 by 100 to get 0,4.
2.) Multiply the decimal number by the original price to find the discount percentage. For example,if the original price is $120, 120 is multiplied by 0,4 to find the discount which is $48.
3.) <span>Subtract the discounted amount to the original price to find the actual price with the discount subtracted. For example, subtract $48 to $120 to find that the price with the discount is $72.</span>
Answer:
Step-by-step explanation:
Hello!
Your study variable is X: "number of ColorSmart-5000 that didn't need repairs after 5 years of use, in a sample of 390"
X~Bi (n;ρ)
ρ: population proportion of ColorSmart-5000 that didn't need repairs after 5 years of use. ρ = 0.95
n= 390
x= 303
sample proportion ^ρ: x/n = 303/390 = 0.776 ≅ 0.78
Applying the Central Limit Theorem you approximate the distribution of the sample proportion to normal to obtain the statistic to use.
You are asked to estimate the population proportion of televisions that didn't require repairs with a confidence interval, the formula is:
^ρ±
* √[(^ρ(1-^ρ))/n]
=
= 2.58
0.78±2.58* √[(0.78(1-0.78))/390]
0.0541
[0.726;0.834]
With a confidence level of 99% you'd expect that the interval [0.726;0.834] contains the true value of the proportion of ColorSmart-5000 that didn't need repairs after 5 years of use.
I hope it helps!
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