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matrenka [14]
3 years ago
13

Question 9 Of 1000 randomly selected cases of lung cancer, 841 resulted in death within 10 years. Construct a 95% two-sided conf

idence interval on the death rate from lung cancer. (a) Construct a 95% two-sided confidence interval on the death rate from lung cancer. Round your answers to 3 decimal places.
Mathematics
1 answer:
givi [52]3 years ago
4 0

Answer:

0.818335 ≤ p ≤ 0.86366

Step-by-step explanation:

Given that:

Sample size (n) = 1000

Positive lung cancer = 841

n(p) = 841, p(p) = 841/1000 = 0.841

n(1 - p) = 1000 - 841 = 159

1 - p = 0.159

95% confidence interval

For a 95% confidence interval : z = 1.96

P ± z√p(1-p) / n

0.841 ± 1.96 * √0.841(0.159) / 1000

0.841 - (1.96 * 0.0115636) = 0.818335344

0.841 + (1.96 * 0.0115636) = 0.863664656

0.818335 ≤ p ≤ 0.86366

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Let distance between warehouse and retail outlets be x miles.

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Read 2 more answers
A shipping service restricts the dimensions of the boxes it will ship for a certain type of service.
Mandarinka [93]

Answer:

Then the answer is option a  

a. 0<x \leq10

Step-by-step explanation:

perimeter + height is less than 130 inches.

If height is 60 inches.then perimeter left is 70 inches.

If perimeter was more than 70 inches then perimeter 60 more than the height would be more than 130.

perimeter of rectangle is

It has two widths and two lengths because that's what rectangles do.

width of base "x"

Then the length is 2.5x

perimeter = 2 width + 2 length

= 2(x) + 2(2.5x)

= 2x + 5x

= 7x

but perimeter can't be more than 70 inches.

So x can't be more than 10 inches because if x was more than 10 inches, then 7x which is perimeter would be more than 70 inches.

2x + 2(2.5x) + 60 \leq  130

7x + 60 ≤ 130

7x ≤ 70

x ≤ 10

Then the answer is option a  

a. 0<x≤10

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3 years ago
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