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Mama L [17]
3 years ago
15

Suppose that twelve bats was used in the experiment. For each trail, the zoo keeper pointed to one of two "feeders". Suppose tha

t the bats went to the correct feeder (the one that the zoo keeper pointed at) 9 times. Find the 95% confidence interval for the population proportion of times that the bats would follow the point.
Mathematics
1 answer:
marshall27 [118]3 years ago
5 0

Answer:

The 95% confidence interval for the population proportion of times that the bats would follow the point is (0.505, 0.995).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

There are 12 bats, and 9 would follow the feeder. This means that n = 12 and \pi = \frac{9}{12} = 0.75.

Find the 95% confidence interval for the population proportion of times that the bats would follow the point.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.96\sqrt{\frac{0.75*0.25}{12}} = 0.505

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.96\sqrt{\frac{0.75*0.25}{12}} = 0.995

The 95% confidence interval for the population proportion of times that the bats would follow the point is (0.505, 0.995).

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Answer:

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Step-by-step explanation:

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We know the answers make sense because A shrinks to get B and B shrinks to get C, and our answers match that.

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2 years ago
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3 years ago
Round 9.17302 to the nearest thousandths tenths and nearest unit
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
−4x + y = 6<br> −5x − y = 21
Scorpion4ik [409]
You have in the first equation "+y" and in the second "-y"
So, you add the 2 equations, so we can remove this 2 letters since they're opposite numbers.
So, we get:
-4x + y -5x - y = 21 + 6
-4x -5x = 21 + 6

Then, you add
-4x -5x = 21 + 6
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Then, you move the -9 to the other part, next to the 27. And since it was a multiplication, it becomes a division.
x = -\frac{27}{9}
x = -3

Then, you choose an equation of the system, and you replace x by it's value so you can find y. I'll take the first equation.

-4x + y = 6
-4*-3 + y = 6
12 + y = 6

Then, you move 12 to the other part next to the 6. And since it was a positive number, it becomes a negative number.
So
y = 6 - 12
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6 0
3 years ago
The sum of three consecutive integers is 114. what are the three integers?
RSB [31]

Answer: 37, 38, and 39

Step-by-step explanation: This problem states that the sum of 3 consecutive integers is 114 and it asks us to find the integers.

3 consecutive integers can be represented as followed.

X ⇒ <em>first integer</em>

X + 1 ⇒ <em>second integer</em>

X + 2 ⇒ <em>third integer</em>

<em />

Since the sum of our 3 consecutive integers is 114, we can set up an equation to represent this.

X + X + 1 + X + 2 = 114

We can simplify on the left side by combining the X's and the numbers.

3x + 3 = 114

      -3     -3   ← <em>subtract 3 from both sides of the equation</em>

3x = 111

÷3    ÷3   ← <em>divide both sides of the equation by 3</em>

<em> </em>X = 37

X ⇒ <em>first integer   = 37</em>

X + 1 ⇒ <em>second integer   = 38</em>

X + 2 ⇒ <em>third integer   = 39</em>

<em />

<em>Therefore, our 3 consecutive integers are 37, 38, and 39.</em>

5 0
3 years ago
Read 2 more answers
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