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mestny [16]
3 years ago
10

A friend of yours in your intro stats class obtains permission to randomly sample the University student body to conduct a satis

faction survey on some recent changes to the enrollment process. She randomly samples 50​ freshmen, 50​ sophomores, 50​ juniors, and 50 seniors. This is an example of a?
Mathematics
1 answer:
lions [1.4K]3 years ago
6 0

Answer:

Stratified data

Step-by-step explanation:

The given data in the question is an example of a "Stratified data"

A Stratified data is type of sampling of data or the random samples in which the collected data is divided into the sub groups of the same type or the same category.

Also,

The sample size of the subgroups in the Stratified data remains the same for every subgroup.

Here, the subgroups are

freshmen

sophomores

juniors

seniors

and the each have same sample size i.e 50

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A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans an
Y_Kistochka [10]

Answer: a) 15, b) 1.

Step-by-step explanation:

A researcher studying public opinion of proposed social security changes obtains a simple random sample of 35 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more Americans does the researcher need to sample in the following cases?

(a)    10% of all adult Americans support the changes

Here, np>5\ and\ n(1-p)>5

And , p=0.10

So, consider the equality, to find the value of 'n'.

np=5\\\\n\times 0.10=5\\\\n=\dfrac{5}{0.10}\\\\n=50

So, there are 50-35=15 more adult Americans needed.

(b)   15% of all adult Americans supports the changes

Here, p=0.15

So, again we get that

np=5\\\\n\times 0.15=5\\\\n=\dfrac{5}{0.15}\\\\n=33.33\\\\n\approx 34

So, there are 35-34=1 more adult Americans needed.

Hence, a) 15, b) 1.

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So

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And then simplify the numerator ad denominator

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And simplify the numerator and denominator again

= \frac{\ 1 \times 16}{4 \times 7} = \frac{\ 1 \times 4}{1 \times 7}

And we are finally left with the answer which is \frac{4}{7}
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