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Andrews [41]
3 years ago
8

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. Determ

ine a 68 % confidence interval for the population proportion of college seniors who plan to attend graduate school. (Enter each answer rounded to three decimal places.)
Mathematics
1 answer:
Hunter-Best [27]3 years ago
4 0

Answer:

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.

This means that n = 100, \pi = \frac{20}{100} = 0.2

68% confidence level

So \alpha = 0.32, z is the value of Z that has a pvalue of 1 - \frac{0.32}{2} = 0.84, so Z = 0.995.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.16

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.24

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

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rusak2 [61]
You forgot to mention the graph.
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First, y= -x-1  
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Graph is attached in the picture.

Second, y= x+1
put y=0 you get point (-1,0) called x-intercept
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join both the points, you will get the graph
Graph is attached in the picture.

4 0
3 years ago
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avanturin [10]

Answer:

6  socks

Step-by-step explanation:

What we must do is calculate the probability of this happening, that he takes out two black socks in the first two taken out.

There are 12 black socks and in total they are 24, therefore the probability of drawing 1 is:

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and now the probability of getting another one is 11 (there is one less outside) and in total they are 23:

11/23

the final probability is the multiplication of these events:

(12/24) * (11/23)

P = 0.24

Now, to know how many you should get, we multiply the probability by the total number of socks, that is:

0.24 * 24 = 5.76

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6 0
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Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. how high
bezimeni [28]

Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.

So if D is the diameter and h is the height of the conical pile then we can write:


D=3h

We know that diameter = 2r, where r is the radius

2r=3h

r=\frac{3h}{2}

Volume of conical pile is given by formula

V=\frac{1}{3}\pi r^2h

Given that volume is 1110 cubic feet.

Now plug the values of Volume and r into equation of volume

1110=\frac{1}{3}\pi (\frac{3h}{2})^2h

1110=\frac{1}{3}\pi\cdot\frac{9h^2}{4}\cdot h

1110=\pi\cdot\frac{3h^3}{4}

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7.78103342467=h

Hence height is approx 7.78 feet.

7 0
3 years ago
Assume you are rolling two​ dice; the first one is​ red, and the second one is green. Use a systematic listing to determine the
trapecia [35]
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I'm not sure if that's the answer you were looking for, but hopefully that helps.
4 0
3 years ago
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Andreyy89

Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

(6x² - 4x + 2) - (-2x² + 3x - 5)

<u>Step 2: Simplify</u>

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  2. Combine like terms (x²):             8x² - 4x + 2 - 3x + 5
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