Question 1

Perform the requested conversion.
-Convert 3% to a reduced fraction. 
A) $\frac { 3 } { 20 }$

B) $\frac { 3 } { 10 }$

C) $\frac { 3 } { 100 }$

D) $\frac { 3 } { 1000 }$

Accepted Answer

3% means 3 out of 100, which is represented as the fraction $\frac{3}{100}$.

Question 2

Solve the problem.
-Research shows that 9.7% of persons 20-25 years old vote and 59.3% of persons 60-65 years old vote. What is the relative increase from the younger group to the older group, to the nearest percent?
A)84%
B)50%
C)511%
D)-50%

Accepted Answer

The relative increase is calculated by the formula: [(New Value - Old Value) / Old Value] * 100. Here, the new value is 59.3% and the old value is 9.7%. So, the relative increase = [(59.3 - 9.7) / 9.7] * 100 = (49.6 / 9.7) * 100 ≈ 511%.

Question 3

Solve the problem.
-Humanities majors spend an average of $120 per course on books. Mathematics majors spend an average of $85 Per course on books. To the nearest percent, the book cost for humanities majors is what percent of the book cost
For mathematics majors?
A)29%
B)141%
C)71%
D)41%

Accepted Answer

To find the percentage of the book cost for humanities majors relative to mathematics majors, divide the average cost for humanities majors by the average cost for mathematics majors and then multiply by 100. That is, $\frac{120}{85} \times 100 \approx 141\%$.

Question 4

Perform the requested conversion.
-Convert 1337% to decimal form.
A)13.37
B)133.7
C)133,700
D)1.337

Accepted Answer

To convert a percentage to a decimal, divide by 100. Therefore, 1337% = 1337/100 = 13.37.

Question 5

Solve the problem.
-Research shows that 12% of 6th graders in K-6 schools have tried cigarettes and 55% of 7th graders in 8-9 or 7-9 middle schools have tried cigarettes. What is the absolute increase, to the nearest percentage point?
A)78%
B)358%
C)-43%
D)43%

Accepted Answer

The absolute increase is calculated by subtracting the initial percentage (12%) from the final percentage (55%), which equals 43%.

Question 6

Solve the problem.
-Humanities majors spend an average of $105 per course on books. Mathematics majors spend an average of $75 Per course on books. What is the percent difference between the two amounts relative to the amount for mathematics majors (round to the nearest percent)?
A)29%
B)-40%
C)-29%
D)40%

Accepted Answer

The percent difference relative to the amount for mathematics majors is calculated as: $\frac{105 - 75}{75} \times 100 = 40\%$.

Question 7

Solve the problem.
-A study was conducted to determine whether flipping a penny or spinning a penny has an effect on the Proportion of heads. Among 56,126 trials, 25,586 involved flipping pennies, and 12,630 of those pennies turned Up heads. The other 30,540 trials involved spinning pennies, and 12,815 of those pennies turned up heads. 
(i) What percentage of the trials involved flipping pennies?
(ii) What percentage of the trials involved spinning pennies?
(iii) Among the pennies that were flipped, what is the percentage that turned up heads?
(iv) Among the pennies that were spun, what is the percentage that turned up heads?
Round your answers to the nearest percent. 
A) (i) $46 \%$; (ii) $54 \%$; (iii) $170 \%$; (iv) $142 \%$

B) (i) $54 \%$; (ii) $46 \%$; (iii) $49 \%$; (iv) $42 \%$

C) (i) $46 \%$;(ii) $54 \%$;(iii) $49 \%$; ((iv) $42 \%$

D) (i) $46 \%$;(ii) $54 \%$;(iii) $50 \%$; (iv) $41 \%$

Accepted Answer

(i) Percentage of trials involving flipping pennies = $\frac{25,586}{56,126} \times 100 \approx 46\%$(ii) Percentage of trials involving spinning pennies = $\frac{30,540}{56,126} \times 100 \approx 54\%$(iii) Percentage of flipped pennies that turned up heads = $\frac{12,630}{25,586} \times 100 \approx 49\%$(iv) Percentage of spun pennies that turned up heads = $\frac{12,815}{30,540} \times 100 \approx 42\%$

Question 8

Solve the problem.
-Research shows that 10.7% of persons 20-25 years old vote and 59.3% of persons 60-65 years old vote. What is the absolute increase from the younger group to the older group, to the nearest percentage point.
A)454 percentage points
B)-49 percentage points
C)49 percentage points
D)82 percentage points

Accepted Answer

The absolute increase in voting percentage from the younger group (10.7%) to the older group (59.3%) is calculated by subtracting the younger group's percentage from the older group's percentage: 59.3% - 10.7% = 48.6%, which rounds to 49 percentage points.

Question 9

Solve the problem.
-In a survey of 2883 adults, 83% reported owning more than one vehicle. Find the actual number of respondents Corresponding to the given percentage.
A)239 respondents
B)2392 respondents
C)2393 respondents
D)2392.9 respondents

Accepted Answer

To find the actual number of respondents who reported owning more than one vehicle, multiply the total number of adults surveyed by the percentage (as a decimal). So, 2883 adults * 0.83 = 2392.89. Since the number of respondents must be a whole number, it rounds to 2392.

Question 10

Perform the requested conversion.
-Convert 0.193% to decimal form.
A)19.3
B)0.00193
C)1.93
D)0.0193

Accepted Answer

To convert a percentage to a decimal, divide by 100. Thus, 0.193% = 0.193/100 = 0.00193.

Question 11

Solve the problem.
-Research shows that 12% of 6th graders in K-6 schools have tried cigarettes and 61% of 7th graders in 8-9 or 7-9 middle schools have tried cigarettes. The percent increase, to the nearest percent, is
A)-49%
B)408%
C)80%
D)49%

Accepted Answer

The percent increase from 12% to 61% is calculated by the formula: [(New Value - Old Value) / Old Value] * 100. So, [(61 - 12) / 12] * 100 = 408%.

Question 12

Solve the problem.
-In a survey of 1477 consumers over the age of 12, 76% reported having at least one personal computer in their Household. Find the actual number of respondents corresponding to the given percentage.
A)17 respondents
B)112 respondents
C)177 respondents
D)1122 respondents

Accepted Answer

To find the actual number of respondents who reported having at least one personal computer, multiply the total number of respondents by the given percentage: 1477 * 76% = 1122.46. Since the number of respondents must be a whole number, it rounds to 1122.

Question 13

Solve the problem.
-In a survey of 7302 office workers, 8.5% said that they do not use the internet for personal reasons. Find the Actual number of respondents corresponding to the given percentage.
A)6206 respondents
B)62 respondents
C)621 respondents
D)620 respondents

Accepted Answer

The answer of Solve the problem.
-In a survey of 7302...

Question 14

Perform the requested conversion.
-Convert 5.83 to a percent.
A)583%
B)5.83%
C)58.3%
D)0.583%

Accepted Answer

The answer of Perform the requested conversion.
-Convert 5.83 to a...

Question 15

Solve the problem.
-Boys spend an average of $6100 on back-to-school clothes. Girls spend an average of $26,700. How much less is the boy's average expenditure, relatively, than the girl's expenditure (round to the nearest percent)?
A)-77%
B)-338%
C)77%
D)338%

Accepted Answer

The answer of Solve the problem.
-Boys spend an average of...

Question 16

Solve the problem.
-A study was conducted of pleas made by 1806 criminals. Among those criminals, 951 pled guilty and 460 of Them were sentenced to prison. Among 82 criminals who pled not guilty, 68 of them were sent to prison. 
(i) What percentage of the criminals pled guilty?
(ii. What percentage of the criminals were sent to prison?
(iii) Among those who pled guilty, what is the percentage who were sent to prison?
(iv. Among those who pled not guilty, what is the percentage who were sent to prison?
Round your answers to the nearest percent.

A) (i) $53 \%$; (ii) $25 \%$; (iii) $7 \%$; (iv) $561 \%$

B) (i) $53 \%$; (ii) 29\%; (iii) $15 \%$; (iv) $7 \%$

C) (i) $53 \%$;(ii) $29 \%$(iii) $48 \%$; (iv) $83 \%$

D) (i) 53\%;(ii) $25 \%$;(iii) $48 \%$; (iv) $83 \%$

Accepted Answer

(i) 951 out of 1806 criminals pled guilty, which is approximately 53%. (ii) A total of 460 + 68 = 528 criminals were sent to prison, which is approximately 29% of 1806. (iii) Among those who pled guilty, 460 out of 951 were sent to prison, which is approximately 48%. (iv) Among those who pled not guilty, 68 out of 82 were sent to prison, which is approximately 83%.

Question 17

Solve the problem.
-The enrollment of the district was 1114 last year and is 1379 this year. Calculate the relative percentage change to the nearest percent.
A)124%
B)81%
C)19%
D)24%

Accepted Answer

The relative percentage change is calculated as ((1379 - 1114) / 1114) * 100%, which equals approximately 24%.

Question 18

Solve the problem.
-An investment in a utility stock is valued at $5600. An investment in a dot-com stock is valued at $14,100. The value of the dot-com stock, to the nearest percent, is what percent of the utility stock?
A)40%
B)60%
C)152%
D)252%

Accepted Answer

To find the percentage, divide the value of the dot-com stock by the value of the utility stock and then multiply by 100. So, ($14,100 / $5,600) * 100 = 252%.

Question 19

Perform the requested conversion.
-Convert 0.093 to a percent.
A)0.00093%
B)9.3%
C)0.93%
D)4.65%

Accepted Answer

To convert a decimal to a percent, you multiply the decimal by 100. So, 0.093 * 100 = 9.3%.

Question 20

Solve the problem.
-A professor's checking account balance a year ago was $1440. Currently, it is $1170. Calculate the relative percentage change to the nearest percent.
A)-23%
B)-19%
C)19%
D)23%

Accepted Answer

The answer of Solve the problem.
-A professor's checking account balance...

Quiz 2: Measurement in Statistics

Perform the requested conversion. -Convert 3% to a reduced fraction.

Solve the problem. -Research shows that 9.7% of persons 20-25 years old vote and 59.3% of persons 60-65 years old vote. What is the relative increase from the younger group to the older group, to the nearest percent?

Solve the problem. -Humanities majors spend an average of $120 per course on books. Mathematics majors spend an average of $85 Per course on books. To the nearest percent, the book cost for humanities majors is what percent of the book cost For mathematics majors?

Perform the requested conversion. -Convert 1337% to decimal form.

Solve the problem. -Research shows that 12% of 6th graders in K-6 schools have tried cigarettes and 55% of 7th graders in 8-9 or 7-9 middle schools have tried cigarettes. What is the absolute increase, to the nearest percentage point?

Solve the problem. -Humanities majors spend an average of $105 per course on books. Mathematics majors spend an average of $75 Per course on books. What is the percent difference between the two amounts relative to the amount for mathematics majors (round to the nearest percent) ?

Solve the problem. -Research shows that 10.7% of persons 20-25 years old vote and 59.3% of persons 60-65 years old vote. What is the absolute increase from the younger group to the older group, to the nearest percentage point.

Solve the problem. -In a survey of 2883 adults, 83% reported owning more than one vehicle. Find the actual number of respondents Corresponding to the given percentage.

Perform the requested conversion. -Convert 0.193% to decimal form.

Solve the problem. -Research shows that 12% of 6th graders in K-6 schools have tried cigarettes and 61% of 7th graders in 8-9 or 7-9 middle schools have tried cigarettes. The percent increase, to the nearest percent, is

Solve the problem. -In a survey of 1477 consumers over the age of 12, 76% reported having at least one personal computer in their Household. Find the actual number of respondents corresponding to the given percentage.

Solve the problem. -In a survey of 7302 office workers, 8.5% said that they do not use the internet for personal reasons. Find the Actual number of respondents corresponding to the given percentage.

Perform the requested conversion. -Convert 5.83 to a percent.

Solve the problem. -Boys spend an average of $6100 on back-to-school clothes. Girls spend an average of $26,700. How much less is the boy's average expenditure, relatively, than the girl's expenditure (round to the nearest percent) ?

Solve the problem. -The enrollment of the district was 1114 last year and is 1379 this year. Calculate the relative percentage change to the nearest percent.

Solve the problem. -An investment in a utility stock is valued at $5600. An investment in a dot-com stock is valued at $14,100. The value of the dot-com stock, to the nearest percent, is what percent of the utility stock?

Perform the requested conversion. -Convert 0.093 to a percent.

Solve the problem. -A professor's checking account balance a year ago was $1440. Currently, it is $1170. Calculate the relative percentage change to the nearest percent.