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Nookie1986 [14]
3 years ago
9

Construct a confidence interval of the population proportion at the given level of confidence.

Mathematics
1 answer:
scZoUnD [109]3 years ago
7 0

Answer:

The lower bound of the confidence interval is 0.6922.

Step-by-step explanation:

We have to calculate a 94% confidence interval for the proportion.

The sample proportion is p=0.7167.

p=X/n=860/1200=0.7167

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.7167*0.2833}{1200}}\\\\\\ \sigma_p=\sqrt{0.000169}=0.013

The critical z-value for a 94% confidence interval is z=1.8808.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.8808 \cdot 0.013=0.0245

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.7167-0.0245=0.6922\\\\UL=p+z \cdot \sigma_p = 0.7167+0.0245=0.7412

The 94% confidence interval for the population proportion is (0.6922, 0.7412).

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trasher [3.6K]

Answer:

Hope it helps

Have a good day Ahead

3 0
3 years ago
A new experimental strain of pepper plants was being studied to estimate how much fruit one plant would produce in a typical gro
zmey [24]

Answer:

58.9% produced produced peppers weighing between 13 and 16 pounds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1.75

We are given that the distribution of weight of peppers is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(peppers weighing between 13 and 16 pounds)

P(13 \leq x \leq 16) = P(\displaystyle\frac{13 - 15}{1.75} \leq z \leq \displaystyle\frac{16-15}{1.75}) = P(-1.142\leq z \leq 0.571)\\\\= P(z \leq 0.571) - P(z < -1.142)\\= 0.716 - 0.127 = 0.589 = 58.9\%

P(13 \leq x \leq 16) = 58.9\%

58.9% produced produced peppers weighing between 13 and 16 pounds.

7 0
4 years ago
How many pounds are in 0.65 Tons
Ilia_Sergeevich [38]

Answer: 1300 pounds

Step-by-step explanation:

2000 x 0.65= 1300

6 0
3 years ago
PLZ HALP MEH. I suck at math. There's a picture to show you the question.
azamat
The solution to what you put down is 1,3
5 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (3, 4) and (-4, -3)? Put your answer in fully reduced form.​
Alexxx [7]

Answer:

y=x+1 is right answer .

6 0
3 years ago
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