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2 years ago

Please help me with this problem and if you can show your work

Mathematics

1 answer:

ella [17]2 years ago

7 0

Answer:

2.9

just answering wrong because i need points sorry

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"A cable TV company wants to estimate the percentage of cable boxes in use during an evening hour. An approximation is 20 percen

Marizza181 [45]

Answer:

The company should take a sample of 148 boxes.

Step-by-step explanation:

Hello!

The cable TV company whats to know what sample size to take to estimate the proportion/percentage of cable boxes in use during an evening hour.

They estimated a "pilot" proportion of p'=0.20

And using a 90% confidence level the CI should have a margin of error of 2% (0.02).

The CI for the population proportion is made using an approximation of the standard normal distribution, and its structure is "point estimation" ± "margin of error"

[p' ± $Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$ ]

Where

p' is the sample proportion/point estimator of the population proportion

$Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$ is the margin of error (d) of the confidence interval.

$Z_{1-\alpha /2} = Z_{1-0.05} = Z_{0.95}= 1.648$

$d= Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$

$d *Z_{1-\alpha /2}= \sqrt{\frac{p'(1-p')}{n} }$

$(d*Z_{1-\alpha /2})^2= \frac{p'(1-p')}{n}$

$n*(d*Z_{1-\alpha /2})^2= p'(1-p')$

$n= \frac{p'(1-p')}{(d*Z_{1-\alpha /2})^2}$

$n= \frac{0.2(1-0.2)}{(0.02*1.648)^2}$

n= 147.28 ≅ 148 boxes.

I hope it helps!

3 0

3 years ago

A study of a new medical procedure selected 27 candidates from a pool of 583 potential candidates.Each of the candidates had an

nikklg [1K]

The answer is random sampling

7 0

2 years ago

Find the length of the hypotenuse of a right triangle whose legs have lengths 4 and 8

Irina18 [472]

Ya gotta use the Pythagorean theorem :)

a² + b² = c² (reminder: c is the hypotenuse)

4² + 8² = c²

16 + 64 = 80

√80 = 8.94

H = 8.94

6 0

3 years ago

When the following expression is written in simplest form, what is the coefficient of the variable term? -2.5y + 8y - 10.5y

LUCKY_DIMON [66]

Answer:

Option 1 is correct.

-5

Step-by-step explanation:

Given:

The given expression is.

$=-2.5y+8y-10.5y$

Write the given expression in simplest form.

$=-2.5y+8y-10.5y$

Add negative term of y.

$=-13y+8y$

$=-5y$

The simplest form of given expression is $=-5y$

Therefore, the coefficient of the variable term is -5

7 0

3 years ago

Damm [24]

Answer:

5x+10

Step-by-step explanation:

Hope this helps!!! :))

5 0

2 years ago

Read 2 more answers

Please help me with this problem and if you can show your work​

Please help me with this problem and if you can show your work