Mathematics : asked on zoeycrew
 18.11.2021

A survey was given to a random sample of 400 people living in a certain community. The people were asked whether they supported the construction of walking trails in the community park. The results are shown in the following table.

Response Frequency

Yes, support 210

No, do not support 90

No opinion 100

Total 400

A follow-up study will be conducted with a sample of 20 people from the 300 people who responded yes (support) and no (do not support). Two sampling methods have been proposed: a simple random sample and a stratified random sample with the survey response as strata.

(b) If the stratified random sample is used, what is the number of people that will be selected from those who responded yes? Support your answer by showing your work.
Question 3
(c) Describe a statistical advantage of using the stratified random sample instead of the simple random sample for the follow-up study.

. 41

Faq

Advanced Placement (AP)
Step-by-step answer
P Answered by PhD

Using simple random sampling for the follow up data will involve making a random selection of 20 participants from the 300 people such that each of the 300 participants have an equal chance of being selected. A random number generator could be employed in making a simple random sample in this scenario.

For Stratified random sampling, participants are first divided into stratas, in this case, the stratas are (Yes and No responses). Then a random sample of participants is are chosen from each strata based on the number of participants in each strata.

B)

If a stratified random sampling is employed, the number of 'Yes' respondents which will be chosen can be calculated thus :

(Number of yes respondent / total) × sample size

(210 / 300) × 20

0.7 × 20 = 14 people.

Therefore, 14 people would be selected from those who responded 'yes' to be a part of the sample.

Learn more :link

Advanced Placement (AP)
Step-by-step answer
P Answered by PhD

Using simple random sampling for the follow up data will involve making a random selection of 20 participants from the 300 people such that each of the 300 participants have an equal chance of being selected. A random number generator could be employed in making a simple random sample in this scenario.

For Stratified random sampling, participants are first divided into stratas, in this case, the stratas are (Yes and No responses). Then a random sample of participants is are chosen from each strata based on the number of participants in each strata.

B)

If a stratified random sampling is employed, the number of 'Yes' respondents which will be chosen can be calculated thus :

(Number of yes respondent / total) × sample size

(210 / 300) × 20

0.7 × 20 = 14 people.

Therefore, 14 people would be selected from those who responded 'yes' to be a part of the sample.

Learn more :link

Mathematics
Step-by-step answer
P Answered by PhD

The total number of people that will be selected is 14.

Step-by-step explanation:

For stratified random sampling at first we need to divide the population into some strata and then choose sample from each. For the given problem the response category is

Sample size of strata = (Size of entire sample by populaion size) multiply strata size

= (20 by 300) multiply 210

after solving we get, 14

therefore, 14 people will be selected.

One merit is that here since we divide the whole data into stratas and then select samples from that so it can be used as a guard against unwanted samples and also gives more accurate sample measure. Here since we required samples from the population who gave yes and no opinion so it is better to use stratified sampling method otherwise if we use simple random sampling then we may choose those samples who gave no opinion. But since we don't use that method so we can avoid this.

Mathematics
Step-by-step answer
P Answered by PhD

The total number of people that will be selected is 14.

Step-by-step explanation:

For stratified random sampling at first we need to divide the population into some strata and then choose sample from each. For the given problem the response category is

Sample size of strata = (Size of entire sample by populaion size) multiply strata size

= (20 by 300) multiply 210

after solving we get, 14

therefore, 14 people will be selected.

One merit is that here since we divide the whole data into stratas and then select samples from that so it can be used as a guard against unwanted samples and also gives more accurate sample measure. Here since we required samples from the population who gave yes and no opinion so it is better to use stratified sampling method otherwise if we use simple random sampling then we may choose those samples who gave no opinion. But since we don't use that method so we can avoid this.

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image

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