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OLga [1]
3 years ago
11

A certain academic program boasts that 87% of their graduates find full-time employment in their field within the first year of

graduation. The academic director is concerned that market factors may have adversely affected the full-time placement rate and decides to perform a Hypothesis Test to see if her concern is warranted. The hypothesis test is performed at a 5% significance level and the resulting p-value is 0.07. Assume that all conditions for testing have been met and choose the statement that contains the correct conclusion.
a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
b. there is sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
c. there is sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
c. there is not sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
Mathematics
1 answer:
WARRIOR [948]3 years ago
7 0

Answer:

Option A, there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.

Step-by-step explanation:

Here the Null hypothesis would be

H0: 87% of the graduates find full-time employment in their field within the first year of graduation

H1: Less than 87% of the graduates find full-time employment in their field within the first year of graduation

Here the p values is 0.07.

Since the p value is greater than 0.05, there are not enough evidences to reject the hull hypothesis.

Hence, option A is correct

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Answer:

Stratified sampling technique(A)

Step-by-step explanation:

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35 sophomores, 69 juniors and 24 seniors are randomly selected. The technique used in selecting is Stratified sampling technique. This is because stratified sampling involves dividing the entire population into stratas and then selects a final sample randomly from the different strata. This means that a smaller part of the entire population is used as a sample in drawing conclusions for the entire population.

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Let 2n+1 be the smaller integer. The larger integer is then 2n+3, and we have

(2n+1)^2=10+(2n+3)\implies4n^2+4n+1=2n+13

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\implies2n^2+n-6=0

\implies(2n-3)(n+2)=0

\implies 2n-3=0\text{ or }n+2=0

\implies n=\dfrac32\text{ or }n=-2

We omit n=-2, since 2(-2)+1=-3 is negative.

Then for n=\dfrac32 we find 2\left(\dfrac32\right)+1=4, but this is not odd.

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Answer:

The equation for total cost function is

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3

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