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SCORPION-xisa [38]
3 years ago
14

Data was collected on reaction time of both hands for an experiment. 14 out of 27 students had a faster reaction time with their

right hand than with their left hand. Using this information, we wish to construct a confidence interval for the proportion of all WCU students that have a faster reaction time with their right hand than with their left hand.
Calculate the lower boundary of a 99% confidence interval.

Give your answer as a decimal rounded to 3 places after the decimal.
Mathematics
1 answer:
VladimirAG [237]3 years ago
8 0

Answer:

0.3902

Step-by-step explanation:

The question meets the criteria for the calculation of the confidence interval of a one sample proportion ;

Sample size, n = 27

Number of students with faster reaction time = 14

Phat = x / n = 14 / 27 = 0.6296

The confidence interval is calculated thus :

C. I = Phat ± Zcritical * √[p(1 - p)/n]

Zcritical at 99% = 2.576

C. I = 0.6296 ± 2.576 * √[0.6296(0.3704)/27]

C.I = 0.6296 ± 0.2394042

The lower boundary of C.I = 0.6296 - 0.2394042

Lower boundary = 0.3902

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These four numbers are plotted on a number line: -2/3, 5/8, -3/5, and -1/2. Which is the correct ordering on the number line fro
stiks02 [169]

Answer:

-2/3 ; - 3/5 ; - 1/2 ; 5/8

Step-by-step explanation:

Given that:

We could convert the numbers to decimal to obtain a better view of the values :

-2/3 = - 0.66666

5/8 = 0.625

-3/5 = - 0.6

-1 /2 = - 0.5

Negative values are always arranged first on left of a number line.

-0.66666 < - 0.6 < - 0.5 <0.625

Hence,

-2/3 ; - 3/5 ; - 1/2 ; 5/8

5 0
3 years ago
Glen is planting square flower gardens surrounding a triangular fishpond as shown. If the sides of the triangular fishpond are 5
weqwewe [10]

Answer:

h=\sqrt{106} \approx 10.3 feet

Step-by-step explanation:

We will use the Pythagorean Theorem to solve this. Which states that:

One Length^2 + Another Length^2 = Hypotenuse^2

We can take one length as 5 ft and another length as 9 ft and we call the hypotenuse "h", so we have:

5^2+9^2=h^2

Now, let us solve for "h":

5^2+9^2=h^2\\25 + 81 = h^2\\106=h^2\\h=\sqrt{106} \approx 10.3

The pond's hypotenuse is about 10.3 feet

3 0
3 years ago
Please help:(<br> Urgent
Tanya [424]

Answer:

the explanation is in the picture

please like and Mark as brainliest

5 0
3 years ago
Help help help its baby work
Olenka [21]

Answer:

the volume of the larger cube is 512

Step-by-step explanation:

we plug in the value of the side into the equation

so we get

8 x 8 x 8= 512

hope this helps <3

6 0
3 years ago
HELP ME PLEASE!! Urgently needed!!!
elixir [45]
The equation for the first part would be 4.50p+40=112.
This is because he earns 40 dollars in wages which doesn't change but the number of shoes he commissions, which would be 4.50 per pair. varies based on how many he commissions.

The answer to your second part would be 16.
To find the number, you subtract 40 from each side which gets you 4.50 = 72. From there you just divide which gets you 16.

Another easy way to do it would just be substituting until you find the right number like on a calculator but if you don't have a calculator on hand (let's say for a test), than the first way would be more effective.
4 0
3 years ago
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