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vladimir2022 [97]
3 years ago
11

W-4=-12-3w solve for w

Mathematics
1 answer:
lyudmila [28]3 years ago
5 0

w-4=-12-3w

Add 12 to each side:

w + 8 = -3w

Subtract 1w from each side:

8 = -4w

Divide both sides by -4:

w = 8 / -4

w = -2

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Given,

p = population proportion that support the politician = 0.52

n = sample size = 200

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This is a normal distribution problem with

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We first normalize/standardize/obtain z-scores for a sample proportion of 0.44

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (0.44 - 0.52)/0.04 = -2.00

To determine the probability of obtaining a sample proportion that is less than or equal to 0.44.

P(x ≤ 0.44) = P(z ≤ -2)

We'll use data from the normal probability table for these probabilities

P(x ≤ 0.44) = P(z ≤ -2) = 0.02275

b) Would it be unusual to obtain a sample proportion less than or equal to 0.44 if the politician's claim is true?

The probability of obtaining a sample proportion less than or equal to 0.44 is 0.02275; that is, 2.275%.

The probability of this occurring is very low, hence, it would be unusual to obtain a sample proportion less than or equal to 0.44.

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P(x < 0.50) = P(z < -0.50)

We'll use data from the normal probability table for these probabilities

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This value is still not very high, it would still he unusual to obtain such a sample proportion that don't support the politician, but it isn't as unusual as that calculated in (a) and (b) above.

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