Maths-
General
Easy
Question
A researcher surveyed a random sample of students from a large university about how often they see movies. Using the sample data, the researcher estimated that 23% of the students in the population saw a movie at least once per month. The margin of error for this estimation is 
. Which of the following is the most appropriate conclusion about all students at the university, based on the given estimate and margin of error?
- It is unlikely that less than
of the students see a movie at least once per month. - At least , but no more than , of the students see a movie at least once per month.
At least , but no more than 25%, of the students see a movie at least once per month.
- The researcher is between 19% and 27% sure that most students see a movie at least once per month
- It is plausible that the percentage of students who see a movie at least once per month is between 19% and 27% .
of the students see a movie at least once per month. , but no more than 25%, of the students see a movie at least once per month.
Hint:
- We will first find maximum and minimum percent of the students in the population saw a movie at least once per month using the error margin, and then get the answer.
The correct answer is: It is plausible that the percentage of students who see a movie at least once per month is between 19% and 27% .
Explanation:
- We have given the researcher estimated that 23% of the students in the population saw a movie at least once per month. The margin of error for this estimation is 4%.
- We have to find which of the option is the most appropriate conclusion about all students at the university.
- Step 1 of 1:
There was a 4% error estimation error. But it didn’t specify whether it was caused by over estimation or under estimation.
So, the researcher is between (23 - 24) % and (23+24)%
- Therefore, It is plausible that the percentage of students who see a movie at least once per month is between 19% and 27%.
- Hence, Option D is correct.
There was a 4% error estimation error. But it didn’t specify whether it was caused by over estimation or under estimation.
So, the researcher is between (23 - 24) % and (23+24)%
Related Questions to study
Maths-
If 
, then find the value of 
If , then find the value of
Maths-General
Maths-
A right circular cone has a volume of 
cubic inches. If the height of the cone is 2 inches, what is the radius, in inches, of the base of the cone?
A right circular cone has a volume of cubic inches. If the height of the cone is 2 inches, what is the radius, in inches, of the base of the cone?
Maths-General
Maths-
In the given figure OACB is a quadrant of a circle. The radius OA = 3.5 cm, OD = 2cm. Calculate the area of shaded portion
In the given figure OACB is a quadrant of a circle. The radius OA = 3.5 cm, OD = 2cm. Calculate the area of shaded portion
Maths-General
Maths-
The inner circumference of a circular track is 220 m. The track is 7 m wide everywhere. Calculate the cost of putting up a fence along the circumference of outer circle at the rate of Rs 2 per meter
The inner circumference of a circular track is 220 m. The track is 7 m wide everywhere. Calculate the cost of putting up a fence along the circumference of outer circle at the rate of Rs 2 per meter
Maths-General
Maths-
Is 
rational or irrational? Explain.
Is rational or irrational? Explain.
Maths-General
Maths-
How many times will the wheel of a car rotate in a journey of 88 km if its known that the diameter of the wheel is 56 cm?
How many times will the wheel of a car rotate in a journey of 88 km if its known that the diameter of the wheel is 56 cm?
Maths-General
Maths-
Express the following recurring decimal as a vulgar fraction
1.3454545454545…………
Express the following recurring decimal as a vulgar fraction
1.3454545454545…………
Maths-General
Maths-
A road 3.5 m wide surrounds a circular park whose circumference is 44 m. Find the cost of paving the road at Rs. 20 per m2
A road 3.5 m wide surrounds a circular park whose circumference is 44 m. Find the cost of paving the road at Rs. 20 per m2
Maths-General
Maths-
The function is defined above. What is 
The function is defined above. What is
Maths-General
Maths-
Of the following, which is closest to the ratio of the total number of insects in all three colonies in week 8 to the total number of insects at the time of initial treatment?
Three colonies of insects were each treated with a different pesticide over an 8-week period to test the effectiveness of the three pesticides. Colonies A, B, and C were treated with Pesticides A,B , and C, respectively. Each pesticide was applied every 2 weeks to one of the three colonies over the 8-week period. The bar graph above shows the insect counts for each of the three colonies 0,2,4,6, , and 8 weeks after the initial treatment.
Of the following, which is closest to the ratio of the total number of insects in all three colonies in week 8 to the total number of insects at the time of initial treatment?
Three colonies of insects were each treated with a different pesticide over an 8-week period to test the effectiveness of the three pesticides. Colonies A, B, and C were treated with Pesticides A,B , and C, respectively. Each pesticide was applied every 2 weeks to one of the three colonies over the 8-week period. The bar graph above shows the insect counts for each of the three colonies 0,2,4,6, , and 8 weeks after the initial treatment.
Maths-General
Maths-
Express the following recurring decimal as a vulgar fraction
0.15151515………..
Express the following recurring decimal as a vulgar fraction
0.15151515………..
Maths-General
Maths-
Simplify by rationalizing:
Simplify by rationalizing:
Maths-General
Maths-
The two graphs above show the total amounts of money that Ian and Jeremy each have deposited into their savings accounts for the first seven weeks after opening their accounts. After they made their initial deposits, how much more did Ian deposit each week
The two graphs above show the total amounts of money that Ian and Jeremy each have deposited into their savings accounts for the first seven weeks after opening their accounts. After they made their initial deposits, how much more did Ian deposit each week
Maths-General
Maths-
Which of the following colonies showed a decrease in size every two weeks after the initial treatment with pesticide?
I. Colony A
II. Colony B
III. Colony C
Three colonies of insects were each treated with a different pesticide over an 8-week period to test the effectiveness of the three pesticides. Colonies A,B , and C were treated with Pesticides , and , respectively. Each pesticide was applied every 2 weeks to one of the three colonies over the 8-week period. The bar graph above shows the insect counts for each of the three colonies 0,2,4,6, and 8 weeks after the initial treatment.
Which of the following colonies showed a decrease in size every two weeks after the initial treatment with pesticide?
I. Colony A
II. Colony B
III. Colony C
Three colonies of insects were each treated with a different pesticide over an 8-week period to test the effectiveness of the three pesticides. Colonies A,B , and C were treated with Pesticides , and , respectively. Each pesticide was applied every 2 weeks to one of the three colonies over the 8-week period. The bar graph above shows the insect counts for each of the three colonies 0,2,4,6, and 8 weeks after the initial treatment.
Maths-General
Maths-
At the origin of a two-dimensional plane, Sam is standing. He moves two units to the east, and three units to the north. His new position can be defined in complex form as ____
At the origin of a two-dimensional plane, Sam is standing. He moves two units to the east, and three units to the north. His new position can be defined in complex form as ____
Maths-General
