Question

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.

Answer 1

The term frequency refers to the number of waves that pass a fixed point in unit time.

The total number (N) is 400.

The relative frequency (R.F.) for "Yes, Support" is calculated as 210/N, resulting 0.525 or 52.5. Similarly, for "No, Do Not Support," it is

90/N, equal to 0.225 or 22.5, and for "No Option," it is

100/N, yielding 0.250 or 25. Represented in a bar chart, the percentages are as follows:

A simple random sample is a randomly selected subset of a population. In this sampling method, each member of the population has an exactly equal chance of being selected, minimising the risk of selection bias.

bar chart is

yes,support=52.5%

no,donot support =22.5%,

no option = 25%

the term frequency refers to the number of waves that pass a fixed point in unit time. It also describes the number of cycles or vibrations undergone during one unit of time by a body in periodic motion.

Answer 2

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

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.