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____ [38]
2 years ago
15

In a survey of 706 parents with kids 4 to 8 years old. 346 say that they know their state booster seat law. Construct a 90% conf

idence interval for the population proportion.
Mathematics
1 answer:
Llana [10]2 years ago
4 0

Answer:

(0.46, 0.52)

Step-by-step explanation:

The formula for Confidence Interval with Proportion

CI = p ± z × √p(1 - p)/n

Where

p = Proportion = x/n

x = 346

n = 706

p = 346/706

p = 0.49

z = z score of Confidence Interval 90% = 1.645

Therefore:

CI = 0.49 ± 1.645 × √0.49(1 - 0.49)/706

CI = 0.49 ± 1.645 × √0.49 × 0.51/706

CI = 0.49 ± 1.645 × 0.0188139843

CI = 0.49 ± 0.0309490042

Hence:

Confidence Interval is

0.49 - 0.0309490042

= 0.4590509958

≈ 0.46

0.49 + 0.0309490042

= 0.5209490042

≈ 0.52

Therefore , the confidence interval of the population proportion is

(0.46, 0.52)

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Andre45 [30]

Answer:

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Step-by-step explanation:

Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.

To find - Find the capacity of the mug. Write the answer as a fraction or mixed number

Proof -

Let the capacity of water = x

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A mug is \frac{1}{8} full of water

⇒Total cups of water in the mug = \frac{1}{8} x

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Given that, The mug contains \frac{1}{6} of a cup of water.

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\frac{1}{8} x =  \frac{1}{6}

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