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Kazeer [188]
3 years ago
8

In a random sample 765 adults in the United States, 322 say they could not cover a $400 unexpected expense without borrowing mon

ey or going into debt.
(a) What population is under consideration in the data set?

(b) What parameter is being estimated?

(c) What is the point estimate for the parameter?

(d) What is the name of the statistic that can we use to measure the uncertainty of the point estimate?

(e) Compute the value from part (d) for this context.

(f) A cable news pundit thinks the value is actually 50%. Should she be surprised by the data?

(g) Suppose the true population value was found to be 40%. If we use this proportion to recompute the value in part (e) using p = 0.4 instead of pˆ, does the resulting value change much?
Mathematics
1 answer:
Volgvan3 years ago
6 0

Answer:

a) The population under consideration in the data set is "adults in the United States".

b) The parameter being estimated is the proportion of adults in the U.S. that could not cover a $400 unexpected expense without borrowing money or going into debt.

c) The point estimate for the parameter of the population is p-hat.

d) The standard deviation of the sampling distribution

e)

\hat p=322/765=0.421\\\\s=\sqrt{\frac{\hat p(1-\hat p)}{n} } =\sqrt{\frac{0.421\cdot 0.579}{765} } =\sqrt{0.00032} =0.018

f) Yes, 50% is a value not probable if the estimations are right.

g) No, it does not change.

Step-by-step explanation:

f) We can calculate the plausability of the value 50% with our estimations.

The P-value of a proportion of 50% is very low, so the value should surprise.

z=(x-\hat p)/s=(0.5-0.421)/0.018=0.079/0.018=4.38\\\\P(z>4.38)=0

g) We re-calculate with p=0.4

z=(x-\hat p)/s=(0.5-0.4)/0.018=0.100/0.018=5.55\\\\P(z>5.55)=0

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Madison invests money in an account paying a simple interest of 3.2% per year.If she invests $160 and no money will be added or
Tamiku [17]

The amount of interest she will earn in one year will be 5 dollars and 12 cents.

<h3>What is Simple interest?</h3>

The normal interest levied on the amount borrowed from any bank on a yearly basis is called the simple interest.

Given that:-

  • The interest of 3.2% per year
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The simple interest amount will be:-

SI   =   (  P   x   R   x   T  )  / 100

SI  =    (  160   x   x   3.2   x   1  )  /   100

SI   =    $5.12

Therefore the amount of interest she will earn in one year will be 5 dollars and 12 cents.

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2 years ago
3. The stem-and-leaf plot shows the cost of lamps at a department store.
77julia77 [94]

Answer:

(a) What is the median cost?
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(b) Is there a mode? If so, what is it?

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(c) What is the difference between the most expensive and least expensive lamps?

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(d) How many lamps cost more than $20 but less than $40?

5

(e) What is the ratio of lamps that cost less than $40 to lamps that cost more than $40? Write the ratio in the simplest form.

{for less} - (12,49)   {for more} - (49,78)

Step-by-step explanation:

hope I helped if it's wrong tell me

~Ally

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Andru [333]
Possibly b but i don’t know
7 0
3 years ago
Read 2 more answers
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