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Luden [163]
3 years ago
8

Tristan is an administrator for a private nonprofit college and read a surprising statistic that 74% of graduates from private n

onprofit colleges in the region had at least one outstanding student loan at the time of graduation. He believes that percentage is high and claims that the proportion of graduates at his college is less than the regional rate. Tristan randomly selects 135 graduates from his college and finds that 92 had at least one outstanding student loan at the time of graduation. What are the null and alternative hypotheses for this hypothesis test?
Mathematics
1 answer:
STatiana [176]3 years ago
6 0

Answer: H_0: p=0.74\\\\ H_a:p

Step-by-step explanation:

Let p be the population proportion for the graduates from private nonprofit colleges in the region had at least one outstanding student loan at the time of graduation.

Given : Tristan is an administrator for a private nonprofit college and read a surprising statistic that 74% of graduates from private nonprofit colleges in the region had at least one outstanding student loan at the time of graduation.

i.e. p=0.74

He believes that percentage is high and claims that the proportion of graduates at his college is less than the regional rate.

i.e.  p

Since, the null hypothesis is a statement which always takes equal sign or generally shows " no difference " where as alternative hypothesis takes unequal signs.

Then, the null and alternative hypotheses for this hypothesis test :-

H_0: p=0.74\\\\ H_a:p

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Nataly_w [17]

Answer:

x = 5

Step-by-step explanation:

(7x + 16) = 90 - 39

7x + 16 = 51

7x = 51 - 16 = 35

x = 5

6 0
3 years ago
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Anni [7]

Answer:

y = - 3x² - 24x - 60

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 12 ), thus

y = a(x + 4)² - 12

To calculate a substitute (- 7, - 39) into the equation

- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )

- 27 = 9a ( divide both sides by 9 )

- 3 = a

y = - 3(x + 4)² - 12 ← in vertex form

Expand (x + 4)²

y = - 3(x² + 8x + 16) - 12

   = - 3x² - 24x - 48 - 12

y = - 3x² - 24x - 60 ← in standard form

   = - 3(x²

3 0
3 years ago
Solve for x... Please i need help!
Strike441 [17]

Answer:

6

Step-by-step explanation:

x=6

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3 0
3 years ago
According to police sources, a car with a certain protection system will be recovered 87% of the time. Find the probability that
WITCHER [35]

Answer: 0.01145

Step-by-step explanation:

We use Binomial distribution , where the probability of getting x successes in n trial is given by :-

P(x)=^nC_xp^x(1-p)^{n-x} , p = probability of getting each success in each trial.

As per given

The proportion that a car with a certain protection system will be recovered= p=0.87

n= 8

Let x be the number of cars will be recovered.

Then, the probability that 4 of 8 stolen cars will be recovered:

P(X=4)=^8C_4(0.87)^4(1-0.87)^{8-4}

=\dfrac{8!}{4!(8-4)!}(0.87)^4(0.13)^4\\\\= 70(0.57289761)(0.00028561)\\\\=0.0114537700474\approx0.01145

Hence, the required probability is 0.01145.

5 0
3 years ago
Which ratio is equivalent to the rate<br> 8 meters<br> 1 second<br> ?
KIM [24]
A unit rate where one is in the Denometer, so you would want to divide the bottom by 10.
5 0
2 years ago
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