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Kay [80]
3 years ago
11

We know that narrower confidence intervals give us a more precise estimate of the true population proportion. Which of the follo

wing could we do to produce higher precision in our estimates of the population proportion?
A. We can select a lower confidence level and increase the sample size.
B. We can select a higher confidence level and decrease the sample size.
C. We can select a higher confidence level and increase the sample size.
D. We can select a lower confidence level and decrease the sample size.
Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0

Answer:

A. We can select a lower confidence level and increase the sample size.

Step-by-step explanation:

The length of a confidence interval is:

Direct proportional to the confidence interval. This means that the higher the confidence level, the higher the length of the interval is.

Inverse proportional to the size of the sample.This means that the higher the size of the sample, the lower, or narrower, the length of the interval is.

Which of the following could we do to produce higher precision in our estimates of the population proportion?

We want a narrower interval. So the correct answer is:

A. We can select a lower confidence level and increase the sample size.

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Allan keeps tropical fish his aquarium is 4 feet long ,1 foot wideand 2 feet tall each fish needs atleast 0.5ft 3 of water what
Alik [6]

Answer: There are 16 fish that he can keep in the aquarium.

Step-by-step explanation:

Since we have given that

Length of aquarium = 4 feet

Width of aquarium = 1 foot

So, it forms a shape of cuboid.

As we know the formula for "Volume of Cuboid":

Volume=Length\times Breadth\times Height\\\\Volume=4\times 1\times 2\\\\Volume=8\ ft^3

According to question, Each fish needs atleast 0.5 cubic feet of water.

So, Number of fish that he can keep in the aquarium is given by

\frac{8}{0.5}=16

Hence, there are 16 fish that he can keep in the aquarium.

6 0
2 years ago
Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card an
ziro4ka [17]

Answer:

1) is not possible

2) P(A∪B) = 0.7

3) 1- P(A∪B) =0.3

4) a) C=A∩B' and P(C)= 0.3

b)  P(D)= 0.4

Step-by-step explanation:

1) since the intersection of 2 events cannot be bigger than the smaller event then is not possible that P(A∩B)=0.5 since P(B)=0.4  . Thus the maximum possible value of P(A∩B) is 0.4

2) denoting A= getting Visa card , B= getting MasterCard the probability of getting one of the types of cards is given by

P(A∪B)= P(A)+P(B) - P(A∩B) = 0.6+0.4-0.3 = 0.7

P(A∪B) = 0.7

3) the probability that a student has neither type of card is 1- P(A∪B) = 1-0.7 = 0.3

4) the event C that the selected student has a visa card but not a MasterCard is given by  C=A∩B'  , where B' is the complement of B. Then

P(C)= P(A∩B') = P(A) - P(A∩B) = 0.6 - 0.3 = 0.3

the probability for the event D=a student has exactly one of the cards is

P(D)= P(A∩B') + P(A'∩B) = P(A∪B) - P(A∩B) = 0.7 - 0.3 = 0.4

3 0
3 years ago
Which table shows a proportional relationship between x and y? A. x y 2 4 3 6 4 9 B. x y 3 4 9 16 15 20 C. x y 4 12 5 15 6 18 D.
Sliva [168]

Answer:

C.

Step-by-step explanation:

The relationship is proportion if y/x is constant.

So it is C because 12/4 = 15/5 = 18/6 = 3.

7 0
2 years ago
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