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DiKsa [7]
3 years ago
12

A confidence interval is constructed for an unknown population proportion, p. A sample is collected, and the 95% confidence inte

rval is calculated to be 0.40 ± 0.06. Based on this information, it is most accurate to say that there is approximately 95% confidence in the assertion that:
Mathematics
1 answer:
Musya8 [376]3 years ago
6 0

Answer: The population proportion is between 0.34 and 0.46 .

Step-by-step explanation:

Interpretation of 95% confidence interval : A person can be about 95% confident that the true population parameter lies in the interval.

A confidence interval is constructed for an unknown population proportion, p. A sample is collected, and the 95% confidence interval is calculated to be 0.40 ± 0.06.

i.e. Lower limit = 0.40-0.06=0.34

Upper limit =  0.40+0.06=0.46

i.e. 95% confidence interval = (0.34, 0.46)

i.e. A person can be about 95% confident that the true population proportion (p) lies in the interval  (0.34, 0.46).

⇒ It is most accurate to say that there is approximately 95% confidence in the assertion that:

The population proportion is between 0.34 and 0.46 .

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mrs_skeptik [129]

The regression equation that shows the population P(x) is given as follows:

P(x) = 3.02x + 7.81.

With the model, the prediction for the population in year 88 is of 273.

<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points are given as follows:

(0,7), (5,17), (23,84), (31, 107), (45, 143), (60, 182), (68, 217), (79, 249).

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The prediction for the population in year 88 is given by:

P(88) = 3.02(88) + 7.81 = 273.

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2 years ago
A support wire is attached to the top of an antenna. The support wire connects
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Step-by-step explanation:

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3 years ago
Aidan has 20 ft of fence with which to build a rectangular dog run. What is the maximum area he can enclose? Enter your answer i
irina1246 [14]
<h2>Maximum area is 25 m²</h2>

Explanation:

Let L be the length and W be the width.

Aidan has 20 ft of fence with which to build a rectangular dog run.

         Fencing = 2L + 2W  = 20 ft

                     L + W = 10

                      W = 10 - L

We need to find what is the largest area that can be enclosed.

     Area = Length x Width

      A = LW

       A = L x (10-L) = 10 L - L²

For maximum area differential is zero

So we have

      dA = 0

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3 years ago
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Answer:

Hence, Grasshopper will land on the ground after 1.5 sec.

Step-by-step explanation:

It s given that:

The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function:

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Now we are asked to find:

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On solving the quadratic equation or plotting it's graph we could observe that the point where h(t)=0 are:

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As time can't be negative hence we will consider:

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Hence, grasshopper will land on the ground after 1.5 sec.

4 0
3 years ago
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