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MAVERICK [17]
3 years ago
13

From a random sample of workers at a large corporation you find that 58% of 200 went on a vacation last year away from home for

at least a week.An approximate 95% confidence interval is (0.50, 0.66). Which of the following statements is a correct interpretation?
a. 95% of the coworkers fall in the interval (0.50, 0.66).
b. We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%.
c. We are 95% confident that between 50% and 66% of the samples will have a proportion near 58%.
d. There is a 95% chance that a random selected coworker has gone on a vacation last year away from home for at least a week.
Mathematics
1 answer:
vagabundo [1.1K]3 years ago
6 0

Answer:

b. We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%.

Step-by-step explanation:

A confidence interval at the level of x% for a proportion being between a and b means that we are x% sure that the true proportion of the population is between a and b.

In this problem, we have that:

95% C.I is (0.5, 0.66)

Interpretation: 95% confident that the true proportion is between 0.5 and 0.66.

The correct answer is:

b. We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%.

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What type of exponential function is f(x)=0.6(2.4)^x ?
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Step-by-step explanation:

<u>Exponential Function</u>

The expression of an exponential function is

f(x)=c.a^{bx}

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The function will be of an exponential growth type if, when x increases, f increases. That behavior comes from the combination of the three constants a,b,c. The best approach to find that out is by taking the first derivative

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Since a^{bx} is always positive, the product of b.c.lna must be positive to make f increasing. For example, if a>1 and both b and c are of the same sign, f increases for all x. If 0<a<1, then, since lna<0, the product b.c must be negative, i.e. both should have different signs

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Talking about rates change of real functions takes us to the derivative function. We have already seen the derivative is dependent on all three constants and also of the value of x, so it cannot be predicted as a fixed percentage.

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Each term is obtained as the previous term by 2.4. It's accurate to say the rate of change is 240%

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