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3 years ago

Please help me answer this question????

Mathematics

1 answer:

Alchen [17]3 years ago

7 0

Elimination method means you're essentially. "subtracting" one equation from another.

x-y=17

- x+y=-1

---------

-2y=18

Now we'll solve x+y=-1 and -2y=18 separately.

-2y=18

Divide both sides by -2.

y=-9

x-9=-1

Add 9 to both sides.

x=8

The solutions are x=8 and y=-9, or (8,-9).

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We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

Step-by-step explanation:

We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.26.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26*0.74}{160}}\\\\\\ \sigma_p=\sqrt{0.0012}=0.0347$

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$MOE=z\cdot \sigma_p=1.96 \cdot 0.0347=0.068$

Then, the lower and upper bounds of the confidence interval are:

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The 95% confidence interval for the population proportion is (0.192, 0.328).

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

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