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stepan [7]
3 years ago
5

A psychology professor at a university is interested in determining the proportion of undergraduate students at her university w

ho self-identify as early-risers, night-owls, or neither. She decides to perform an observational study to investigate this question, so she randomly selects 500 undergraduate students from a university with 14364 undergraduate students enrolled to whom she poses her question. 274 respond that they would call themselves night-owls, 124 replied that they are early-risers, and 102 respond that they are neither.
Is it appropriate to conduct a hypothesis test for proportions, testing whether the proportion of college students who identify as night-owls is larger than 0.33?
Select one:

a. No, because the professor conducted an observational study.
b. Yes, it is appropriate.
c. No, because the professor’s question had 3 possible answers.
d. No, because the assumptions necessary for inference are not met.
Mathematics
1 answer:
mario62 [17]3 years ago
6 0

Answer:

No, because the professor’s question had 3 possible answers

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MATH HELP!!! 100PTS!!!
Lostsunrise [7]

Answer:

x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}

Step-by-step explanation:

<u>Given functions</u>:

  p(x)=2x-4

  r(x)=\dfrac{6x-1}{9x+1}

Solve for p(x) = r(x):

\begin{aligned}p(x) & = r(x)\\\implies 2x-4 & = \dfrac{6x-1}{9x+1}\\(2x-4)(9x+1)&=6x-1\\18x^2+2x-36x-4&=6x-1\\18x^2-40x-3&=0\end{aligned}

As the found quadratic equation cannot be factored, use the Quadratic Formula to solve for x:

<u>Quadratic Formula</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0

Therefore:

a=18, \quad b=-40, \quad c=-3

Substitute the values of a, b and c into the <u>quadratic formula</u> and solve for x:

\begin{aligned}\implies x & =\dfrac{-(-40) \pm \sqrt{(-40)^2-4(18)(-3)} }{2(18)}\\\\& =\dfrac{40 \pm \sqrt{1816}}{36}\\\\& =\dfrac{40 \pm \sqrt{4 \cdot 454}}{36}\\\\& =\dfrac{40 \pm \sqrt{4}\sqrt{454}}{36}\\\\& =\dfrac{40 \pm2\sqrt{454}}{36}\\\\& =\dfrac{20 \pm\sqrt{454}}{18}\end{aligned}

Therefore, the solutions are:

x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

6 0
2 years ago
Anna and Michael are workers in a factory making widgets. Anna can make 8 widgets per day in the factory. Michael is able to pro
omeli [17]

Answer:

4 widgets

Step-by-step explanation:

8÷2=4

Mark me brainliest

3 0
3 years ago
Read 2 more answers
2 Points
sergeinik [125]

Answer:

Step-by-step explanation:

x²+x²=14²

2x²=196

x²=196/2=98

x=7√2 ft

3 0
3 years ago
the perimeter of a square clock is 16 wholes and 6/9 inches.The perimeter of a rectangular clock is 16 wholes and 16/18 inches.W
sergejj [24]
6/9 and 16/18 is what we will mainly look at since the whole numbers are the same. the common denominator is 18. so you would multiply 6/9 by 2 (both the numerator and denominator multiplied by 2 ) therefore you will get 12/18. Which is bigger 12/18 or 16/18? 16/18 is bigger, therefore you would say sixteen and 6/9 is less than sixteen and 16/18. your answer should be this below. :)
16,6/9 < 16, 16/18.
4 0
4 years ago
You just got done eating at your favorite restaurant you receive a bill of $55.22 and you want to leave a 20% tip. How much woul
MAVERICK [17]

Answer:

$11.04

Step-by-step explanation:

To calculate the tip, you would find 20% of 55.22 by doing this:

55.2 x 0.20 = ?

You will then get 11.04, and that is the tip.

Hope that helps :>

5 0
2 years ago
Read 2 more answers
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