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2 years ago

PLEASE ANSWER ASAP!!! (full answers please, no begging for brainliest)

Mathematics

1 answer:

vfiekz [6]2 years ago

7 0

Answer: 5x + 2y ≤ $40; x,y ≥ 0

Step-by-step explanation:

5x + 2y ≤ $40

Technically, this is insufficient since it allows for purchases of negative amounts.

Really, it should be 5x + 2y ≤ $40 <u>and </u>x ≥ 0 <u>and</u> y ≥ 0. That is 3 inequalities.

No begging. ;)

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Step-by-step explanation:

Information provided

$X_{1}=1642$ represent the number of smokers from the sample in 1995

$X_{2}=1415$ represent the number of smokers from the sample in 2010

$n_{1}=4276$ sample from 1995

$n_{2}=3908$ sample from 2010

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$p_{2}=\frac{1415}{3908}=0.362$ represent the proportion of smokers from the sample in 2010

$\hat p$ represent the pooled estimate of p

z would represent the statistic

$p_v$ represent the value for the pvalue

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Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

The statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

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Replacing the info given we got:

$z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055$

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And the best option for this case would be:

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