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SpyIntel [72]
4 years ago
7

A radio station wants to know if residents in their area are in favor of a proposed tax increase. They invite listeners to call

in to respond to the poll. A total of 645 of the 800 who responded were against the tax. The station calculated a 95% confidence interval and declared, "Between 77.9% and 83.4% of residents oppose the new tax."a. Because of the way the poll was conducted, the results are invalid.b. This is a valid interval, so the station must be right.c. We can't say for certain that between 77.9% and 83.4% of residents oppose the new tax because it is a 95% confidence interval.
Mathematics
1 answer:
Airida [17]4 years ago
3 0

Answer:

Option a.

Step-by-step explanation:

This poll is terribly biased mechanism. Polling is not conducted in a valid form. The participants are only those who want to respond. So we cannot infer anything about the population on the basis of this polling.

Hence the answer is Option a. Because of the way the poll was conducted, the results are invalid.

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Answer:

a) P=0.2503

b) P=0.2759

c) P=0.3874

d) P=0.2051

Step-by-step explanation:

We have this information:

25% of American households have only dogs (one or more dogs)

15% of American households have only cats (one or more cats)

10% of American households have dogs and cats (one or more of each)

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The sample is n=10

a) Probability that exactly 3 have only dogs (p=0.25)

P(x=3)=\binom{10}{3}0.25^30.75^7=120*0.01563*0.13348=0.25028

b) Probability that exactly 2 has only cats (p=0.15)

P(x=2)=\binom{10}{2}0.15^20.85^8=45*0.0225*0.27249=0.2759

c) Probability that exactly 1 has cats and dogs (p=0.1)

P(x=1)=\binom{10}{1}0.10^10.90^0=10*0.1*0.38742=0.38742

d) Probability that exactly 4 has neither cats or dogs (p=0.5)

P(x=4)=\binom{10}{4}0.50^40.50^6=210*0.0625*0.01563=0.20508

8 0
3 years ago
Solve the simultaneous equations:<br> 3x + 2y = 35 <br> 2x + 3y = 30
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Answer:

nuber 1

Simplifying

3x + 2y = 35

Solving

3x + 2y = 35

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

3x + 2y + -2y = 35 + -2y

Combine like terms: 2y + -2y = 0

3x + 0 = 35 + -2y

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Divide each side by '3'.

x = 11.66666667 + -0.6666666667y

Simplifying

x = 11.66666667 + -0.6666666667y

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On the map every 1 inch equals 60 miles.

12 inches x 60 miles per inch = 720 miles total.

City B and City C are 720 miles apart

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