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solong [7]
3 years ago
8

I need help on my math homework I don't understand it.

Mathematics
1 answer:
maw [93]3 years ago
8 0

Step-by-step explanation: do fast

when you will upload the picture do fast

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A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne
Evgen [1.6K]

Answer:

a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.

b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.

About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.

Step-by-step explanation:

We have to calculate a 90% confidence interval for the proportion.

The sample proportion is p=0.6619.

p=X/n=370/559=0.6619

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.6619*0.3381}{559}}\\\\\\ \sigma_p=\sqrt{0.0004}=0.02

The critical z-value for a 90% confidence interval is z=1.6449.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.6449 \cdot 0.02=0.0329

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.6619-0.0329=0.6290\\\\UL=p+z \cdot \sigma_p = 0.6619+0.0329=0.6948

The 90% confidence interval for the population proportion is (0.6290, 0.6948).

3 0
2 years ago
4. The top of the John Hancock Building is a rectangle whose length is 60 ft more than the width. The perimeter is 520 feet. Fin
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D.) =100 ft, l = 160
3 0
3 years ago
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Simplify 2/3x-4/9y+x+y
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2 years ago
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You are standing 400ft away from a building that is 850ft tall. Find the angle of elevation from where you’re standing to the to
klio [65]

Answer:

The angle of elevation is approximately 64.8^o

Step-by-step explanation:

Notice that the two pieces of information given: "400 ft away from a building", and building that is "850 ft tall", can be regarded as the two legs of a right angle triangle (see attached image).

Then the angle \theta that we are trying to find (the angle of elevation) can be found by using the arc-tangent function:

tan(\theta)=\frac{850}{400} \\tan(\theta)=\frac{17}{8}\\\theta =arctan(\frac{17}{8})\\\theta = 64.8 ^o

4 0
3 years ago
A 16 ounce bag of cereal cost $2.88 what is the cost per ounce
PtichkaEL [24]

Answer:

the answer is 0.18 because you just dived the 2.88 by 16 and you get your answer

Step-by-step explanation:

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2 years ago
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