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Oduvanchick [21]
2 years ago
5

A group conducted a poll of 2025 likely voters just prior to an election. The results of the survey indicated that candidate A w

ould receive 47​% of the popular vote and candidate B would receive 46​% of the popular vote. The margin of error was reported to be 2​%. The group reported that the race was too close to call. Use the concept of a confidence interval to explain what this means. What does it mean to say the race was too close to​ call?
Mathematics
1 answer:
FrozenT [24]2 years ago
5 0

Answer:

Check Explanation

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

The population proportion can take on any value within the confidence interval obtained.

So, for each candidate, we can calculate the confidence interval for the population proportion of popular votes they would each receive.

For candidate A,

Sample Proportion = 47%

Margin of Error = 2%

Confidence Interval = (47%) ± (2%)

Confidence interval = (45%, 49%)

For candidate B,

Sample Proportion = 46%

Margin of Error = 2%

Confidence Interval = (46%) ± (2%)

Confidence interval = (44%, 48%)

The true proportion of popular votes for the two candidates will lie between

Confidence Interval for candidate A

(45%, 49%)

Confidence Interval for candidate B

(44%, 48%)

So, the true proportion of popular votes for candidate A can take on any value from 45% to 49%, and that for candidate B can take on values from 44% to 48%.

Because, A could have 45% and B have 48% or A could have 47% and B too have 47%.

The clear winner cannot be determined from this confidence interval obtained from the survey, it really is too close to call!

Hope this Helps!!!

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Murrr4er [49]

Answer:

The equation in slope-intercept form is y=-2x+6.

The equation in standard form is 2x+y=6.

The equation in point-slope form is y-2=-2(x-2).

Step-by-step explanation:

The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.

Parallel lines will have the same slope and different y-intercept.

Anyways the slope of y=-2x+1 is -2.

So the equation of our line we are looking for is -2.

So we know our equation is in the form y=-2x+b.

We must inf b using y=-2x+b with (x,y)=(2,2).

y=-2x  +b  with (x,y)=(2,2)

2=-2(2)+b

2=-4+b

Add 4 on both sides:

2+4=b

Simplify:

6=b

The equation is y=-2x+6.

Now it didn't say what form it wanted.

There are some forms I can give you like standard and point-slope form.

There is also general form but it is not too much different from standard form.

Standard form is ax+by=c where a,b, and c are integers if possible.

Point-slope form is y-y1=m(x-x1) where (x1,y1) is a point on the line and m is the slope.

So let's go for standard form (ax+by=c) first:

y=-2x+6

add 2x on both sides:

2x+y=6

This is standard form because it is in the form

ax+by=c.

Ok we know point (2,2) is on our line and we also know we have slope,m, is -2.

Point-slope form is

y-y1=m(x-x1)

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8 0
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fire work a travels at the speed 300 ft/s firework b travels 240 ft/s. firework b is launched 0.25s before firework a. how many
storchak [24]

Answer:

Both fireworks  will explode after 1 seconds after firework b launches.

Step-by-step explanation:

Given:

Speed of fire work A= 300 ft/s

Speed of Firework B=240 ft/s

Time before which fire work b is launched =0.25s

To Find:

How many seconds after firework b launches will both fireworks explode=?

Solution:

Let t be the time(seconds) after which both the fireworks explode.

By the time the firework a has been launched, Firework B has been launch 0.25 s, So we can treat them as two separate equation

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Firework B=240(t)+240(0.25)

Since we need to know the same time after which they explode, we can equate both the equations

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Answer:

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