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Reptile [31]
3 years ago
9

It is widely reported that high school students spend an average of 7 hours per week working on homework. Miss Bonnar, a high sc

hool English teacher, questions this report. She believes the students at her high school spend more than 7 hours per week working on homework. She surveys a random sample of 95 students and plans to use the resulting data to conduct a hypothesis test. Suppose the p-value from this hypothesis test is 0.01. Which of the following is a correct interpretation of this p-value?
A. Approximately 1% of the students in the sample spend more than 7 hours per week working on homework.
B. The probability of obtaining a result at least as extreme as the one observed, if the null hypothesis is true, is 0.01.
C. The probability that the null hypothesis is true is 0.01.
D. The probability that the null hypothesis is false is 0.01.
E. If we assume to begin with that the null hypothesis is false, there is only a 1% chance we will reject that null hypothesis.
Mathematics
1 answer:
yulyashka [42]3 years ago
8 0

Answer:

B. The probability of obtaining a result at least as extreme as the one observed, if the null hypothesis is true, is 0.01.

Step-by-step explanation:

The answer choice B is in fact the definition of p-value.

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4=0.25(w−4.3)<br><br> Solve for w.
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A tunnel is constructed with a semielliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of
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The height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.

<h3>What is an ellipse?</h3>

An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.

We have:

A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of the tunnel is 25 feet.

2a = 60 (width of the tunnel is 60 feet)

a = 30

And the maximum height at the center of the tunnel is 25 feet

b = 25

Let's assume the center of the ellipse is at the origin.

So the equation of the ellipse:

\rm \dfrac{x^2}{30^2}+\dfrac{y^2}{25^2}=1

Now plug x = a - 5 = 30 - 5 = 25

\rm \dfrac{25^2}{30^2}+\dfrac{y^2}{25^2}=1

After solving:

\rm \dfrac{y^2}{25^2}=1-\dfrac{25}{36}

\rm y^2=\dfrac{6875}{36}

y = ±13.819 ≈ ±13.82

Height cannot be negative

y = 13.82 feet

Thus, the height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.

Learn more about the ellipse here:

brainly.com/question/19507943

#SPJ1

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