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ratelena [41]
3 years ago
13

The store employee works 35 hours per week. Which inequality can be used to find the dollar value, x, of weekly sales that the e

mployee must make to earn more than $400 per week?
Mathematics
1 answer:
almond37 [142]3 years ago
3 0
The store employee works 35 hours per week. Which inequality can be used to find the dollar value, x, of weekly sales that the employee must make to earn more than $400 per week?

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<h2>Answer with explanation:</h2>

Let p be the population proportion .

Then, p=\dfrac{5000}{20000}=0.25

According to the given information, we have

a)\ \text{Null hypothesis }H_0: p=0.25\\\\b)\ \text{Alternative hypothesis} H_a: p\neq0.25, since alternative hypothesis is two-tailed , so the hypothesis test is a two-tail test.

Since sample size is large (n> 30), we use z-test.

Let us consider 95% confidence i.e.\alpha=0.05.

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d) Test statistic : z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

i.e. z=\dfrac{0.32-0.25}{\sqrt{\dfrac{0.25(0.75)}{300}}}=2.8

e) P-value (for two-tail) : 2(Pz>2.8)=0.0051103

f) P-value is the probability value that we have falsely rejected the null hypothesis.

g) Since observed z-value (2.8) does not lie in critical interval (-1.96, 1.96), it means the null hypothesis is rejected.

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