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lidiya [134]
3 years ago
10

If the original quantity is 20 and the new quantity is 16​, what is the percent​ decrease?

Mathematics
2 answers:
Maru [420]3 years ago
6 0
20% Subtract starting value minus final value.
Divide that amount by the absolute value of the starting value.
Multiply by 100 to get percent decrease.
If the percentage is negative, it means there was an increase and not an decrease.
victus00 [196]3 years ago
5 0

Answer:

20% Decrease

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From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, Z_{Critical}=1.645.

We also know that E=5% or E=0.05

Also, since, \hat{p} is not given, we will assume that \hat{p}=0.5. This is because, the formula that we use will have \hat{p}(1-\hat{p}) in the expression and that will be maximum only when \hat{p}=0.5. (For any other value of \hat{p}, we will get a value less than 0.25. For example if, \hat{p} is 0.4, then 1-\hat{p}=0.6 and thus, \hat{p}(1-\hat{p})=0.24.).

We will now use the formula

n=(\frac{Z_{Critical}}{E})^2\hat{p}(1-\hat{p})

We will now substitute all the data that we have and we will get

n=(\frac{1.645}{0.05})^2\times0.5(1-0.5)

n=(32.9)^2\times0.25

n=270.6025

which can approximated to n=271.

So, the brand manager needs a sample size of 271

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