The answer to the question
A candidate took a phone poll of 110 people. Of the 110 people polled, 87 said they would vote for the other person. There are 9
2 answers:
Option B
7569 number of people are going to vote for the other candidate
<em><u>Solution:</u></em>
Given that candidate took a phone poll of 110 people
Of the 110 people polled, 87 said they would vote for the other person
There are 9570 people in the district
You can set up this problem like a proportion
Let "x" be the number of people who would vote for the other candidate
To solve proportions, you cross-multiply. This means you multiply the numerator by the other denominator, and the denominator by the other numerator
832590 = 110x
x = 7569
Thus 7569 number of people are going to vote for the other candidate
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Answer:
a) 20.16; b) 20.49 and 21.51
Step-by-step explanation:
We use z scores for each of these. The formula for a z score is
.
For part a, we want the 20th percentile; this means we want 20% of the data to be lower than this. We find the value in the cells of the z table that are the closest to 0.20 as we can get; this is 0.2005, which corresponds with a z score of -0.84.
Using this, 21 as the mean and 1 as the standard deviation,
-0.84 = (X-21)/1
-0.84 = X-21
Add 21 to each side:
-0.84+21 = X-21+21
20.16 = X
For part b, we want the middle 39%. This means we want 39/2 = 19.5% above the mean and 19.5% below the mean; this means we want
50-19.5 = 30.5% = 0.305 and
50+19.5 = 69.5% = 0.695.
Looking these values up in the cells of the z table, we find those exact values; 0.305 corresponds with z = -0.51 and 0.695 corresponds with z = 0.51:
-0.51 = (X-21)/1
-0.51 = X-21
Add 21 to each side:
-0.51+21 = X-21+21
20.49 = X
0.51 = (X-21)/1
0.51 = X-21
Add 21 to each side:
0.51+21 = X-21+21
21.51 = X