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DerKrebs [107]
3 years ago
9

A hypothesis test was conducted to investigate whether the population proportion of students at a certain college who went to th

e movie theater last weekend is greater than 0.2. A random sample of 100 students at this college resulted in a test statistic of 2.25. Assuming all conditions for inference were met, which of the following is closest to the pp-value of the test?
A. 0.0061
B. 0.0122
C. 0.0244
D. 0.9756
E. 0.9878
Mathematics
1 answer:
Paraphin [41]3 years ago
5 0

Answer:

B. 0.0122

Step-by-step explanation:

According to the given data the claim is:

"Proportion of students who went to the movie theater last weekend is greater than 0.2"

Since, the word "greater than" is used in the claim, this claim will be our alternate hypothesis and the hypothesis test will be a one-tailed test i.e. Right tailed test because of the word "greater than".

We are given that the hypothesis test was conducted for a random sample of 100 students and it yielded a z-value of 2.25. We have to find the p-value associated with this z-score

So, we have to find p-value corresponding to z-score of 2.25 and Right Tailed Test. We have to use z-table for this purpose and find the probability of z score being greater than 2.25. From the z-table this value comes out to be:

p-value = 0.0122

Therefore, option B gives the correct answer.

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The sum of two numbers is 30. One number is 4 more than twice the other. Find the numbers.
DENIUS [597]

Answer:

11, 25

Step-by-step explanation:

n is a number

2n + 3 is the other number

n + 2n + 3 = 36

4 0
3 years ago
The profit( in thousands ) that a company makes, t years after opening, can be found by: F(t) = 2t^2 - 6t -3
Ipatiy [6.2K]

a) After 4 years the profit will change from negative to positive.

b)after 4 years the profit will be lowest.

Because the equation is a quadratic equation so, it will be increasing.

c) after 4 years the profit will be 5.

<u>Step-by-step explanation:</u>

a) After 1 year = 2(1) -6(1) -3

= 2-9

= -7

It's negative

After 2 years = 2(4) -6(2) -3

= 8-12-3

= -7

It's negative

After 3 years = 2(9) -6(3) -3

= 18 - 18 -3

= -3

It's negative

After 4 years = 2(16) -6(4) -3

= 32 -24-3

= 5

It's positive

After 4 years the profit will change from negative to positive

b) after 4 years the profit will be lowest.

Because the equation is a quadratic equation so, it will be increasing.

c) profit = 2(16) - 6(4) -3

= 32 -24 - 3

= 5

after 4 years the profit will be 5

4 0
4 years ago
Is this correct?(top answerers)
tatyana61 [14]

Answer:

Step-by-step explanation:

It doesn't look right to me, but you may not have the choices I would want to use.  I think it should go

1/2

cos^2

sqrt(x)

+ 2)

The square root covers just the x, and nothing more.

8 0
3 years ago
How can polygons be considered a subcategory of two-dimensional figures?
Sonbull [250]
I say subcategory would be a good answer
6 0
3 years ago
What is the next step in solving 0 = x2 + 6x – 10 by completing the square, after you cut 6 in half?
Lynna [10]

Answer:

see below

Step-by-step explanation:

0 = x^2 + 6x – 10

Add 10 to each side

10 = x^2-6x

Take the coefficient of x

-6

Divide by 2

-6/2 =-3

Square it

(-3)^2 =9

Add 9 to each side

10+9 = x^2-6x+9

We use -3 for the square term

19 = (x-3)^2

Take the square root of each side

±sqrt(19) = x-3

Add 3 to each side

3±sqrt(19) = x

6 0
3 years ago
Read 2 more answers
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