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IceJOKER [234]
3 years ago
15

The business college computing center wants to determine the proportion of business students who have laptop computers. If the p

roportion differs from 25%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.4. Find the p-value for a two-tailed test of hypothesis.
Mathematics
1 answer:
disa [49]3 years ago
8 0

Answer:

The p-value for a two-tailed test of hypothesis is 0.0164.

Step-by-step explanation:

The test statistic is 2.4. Find the p-value for a two-tailed test of hypothesis.

This means that we look at the z-table, and we have to find:

P(|Z| > 2.4)

Which is the pvalue of Z = -2.4 multiplied by 2, or 2 multiplied by 1 subtracted by the pvalue of Z = 2.4.

Looking at the z-table, z = 2.4 has a pvalue of 0.9918

1 - 0.9918 = 0.0082

2*0.0082 = 0.0164

The p-value for a two-tailed test of hypothesis is 0.0164.

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Answer:

The height of the equilateral triangle is 5\sqrt{3}\ units

Step-by-step explanation:

we know that

An equilateral triangle has three congruent sides, and three congruent angles that each measure 60 degrees

To find out the height of an equilateral triangle, apply the Pythagoras Theorem in the right triangle ABD

Remember that the height of an equilateral triangle bisects the base.

see the attached figure to better understand the problem

AB^2=AD^2+BD^2

substitute the given values

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Solve for BD

100=25+BD^2

BD^2=100-25

BD^2=75

BD=\sqrt{75}\ units

simplify

BD=5\sqrt{3}\ units`

therefore

The height of the equilateral triangle is 5\sqrt{3}\ units

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