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timofeeve [1]
3 years ago
11

A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts. Estimate the true proportion

of all college students who are in favor of banning Hawaiian shirts using a 90% confidence interval.
Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0

Answer: (0.5496, 0.5754)

Step-by-step explanation:

The confidence interval for population proportion (p) is given by :-

\hat{p}\pm z*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}  , where \hat{p}= Sample proportion , n= sample size , z*= Critical z-value.

Let p be the  proportion of all college students who are in favor of banning Hawaiian shirt.

Given, A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts.

i.e. n=4000

\hat{p}=\dfrac{2250}{4000}=0.5625

z-value for 90% confidence level is 1.645

Now , 90% confidence interval for p would be :

0.5625\pm (1.645)(\sqrt{\dfrac{0.5625(1-0.5625)}{4000}})

=0.5625\pm (1.645)(\sqrt{0.0000615234375})\\\\=0.5625\pm (1.645)(0.00784368774876)\\\\\approx0.5625\pm0.0129\\\\=(0.5625-0.0129, \ 0.5625+0.0129)\\\\=(0.5496,\ 0.5754)

Hence, the required 90% interval = (0.5496, 0.5754)

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Answer:

\boxed{ \text{10.9 ft}}

Step-by-step explanation:

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r = √24.67 = 4.967 ft

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8 0
3 years ago
1½–¾ what is the answer to this fraction ​
siniylev [52]

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<h2><em>0.75 or 3/4</em></h2>

Step-by-step explanation:

<em>~Convert the mixed numbers into improper fractions</em>

<em>~Then find the </em><em>LCD (Least Common Denominator)</em><em> and combine</em>

<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</em>

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6 0
2 years ago
Read 2 more answers
Harry charges $4 to babysit for the first hour. For each additional hour, he charges
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Harry would earn total money equal to $32.50 babysitting.

Since Harry charges 50% more for each additional hour as he did for the previous hour, then

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<h3>What is the charge?</h3>

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Harry charges $4 for the first hour.

Harry then charges

3/2 × $4 = $6 for the second hour.

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To learn more about the charge visit:

brainly.com/question/25922783

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5 0
2 years ago
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Neporo4naja [7]
1- Associative property of addition: E
-1+(4+9)=(-1+4)+9

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3- Commutative property of addition: D
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8 0
2 years ago
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Answer:

1-

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