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Sergeeva-Olga
9 days ago
13

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 su

pport). Two sampling methods have been proposed: a simple random sample and a stratified random sample with the survey response as strata. If the stratified random sample is used, what is the number of people that will be selected from those who responded yes? Justify your answer
Mathematics
1 answer:
PIT_PIT [3.9K]9 days ago
4 0

Response:

Detailed explanation:

Hello!

Stratified sampling involves the categorization of the population into subgroups based on pre-established criteria for the study. These subgroups consist of homogeneous units concerning the relevant characteristics. In this instance, individuals in the groups will represent only one of the two potential opinions (support or not support) and not both.

The researcher determines the sample size desired, considering several factors such as finances, material availability, and accessibility to experimental subjects (for instance, if they are endangered species, larger sample sizes may not be feasible).

One might conduct proportionate stratified sampling by selecting a proportion of respondents who answered "yes" along with those who answered "no."

In this sampling method, taking a specific proportion from each subgroup allows for a more straightforward extrapolation of results to the overall populations. For example, if you needed a sample size of n = 20, each stratum would ideally contain half, meaning 10 from the “yes” group and 10 from the “no” group.

I hope this is helpful!

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60 more than nine times a number is the same as two less than 10 times the number what is the number
PIT_PIT [3919]

Let's tackle your equation step-by-step.

9x+60=10x−2

Step 1: Subtract 10x from each side.

9x+60−10x=10x−2−10x

−x+60=−2

Step 2: Subtract 60 from each side.

−x+60−60=−2−60

−x=−62

Step 3: Divide both sides by -1.

−x /−1 = −62 /−1

x=62

I hope this was helpful! Please consider giving me Brainliest!!

4 0
17 hours ago
An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a r
zzz [4022]

The triangle is positioned within the circle, with its vertices lying on the circle's edge - since the center of the circle is located on the hypotenuse, that hypotenuse serves as the diameter (D) of the circle.

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D = 120 feet

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Calculating the circumference of the circle gives: 22/7 * 120 = 377.14 feet.

The perimeter of the triangle is calculated as 120 + 60 + 103.92 = 283.92

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1) The combined distance around both circle and triangle totals 661.06 feet.

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**************************************************************

2) The vertices for the triangle's central area must touch the circular pool - to find the center of the pool, draw perpendicular bisectors from two of the triangle's sides; where they meet is the center.

The distance from the center to any vertex of the triangular area represents the radius of the


circular pool.

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3) The intersection of the triangle's angle bisectors indicates the center of the shark tank.

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***********************************************************

4) The pool's volume is calculated as ((π * 60^2) - area of triangle) * 4 =

(11314.285) - (1/2 * 103.92 * 60) * 4 = 32786.74 cubic feet.

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5) 8196.685 * x < 30000

x < 3.66 feet

The average depth needs to be below 3.66 feet

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5 0
6 days ago
By selling a school blazer for Rs 1215, the shopkeeper earns a profit of 8%. Find
Svet_ta [4321]

Detailed explanation:

Thus,

100% plus 8% equals 108%

108% equals 1215

1% corresponds to 11.25

Therefore, 100% amounts to 1125 rs

4 0
1 day ago
James has a desk job and would like to become more fit, so he purchases a tread walker and a standing desk which will allow him
Inessa [3907]

Answer:

The answer is

-0.245 \pm2.160(0.205)

Step-by-step explanation:

After operating under these conditions for a period of 6 months, he selects a simple random sample of 15 days. He logs the hours he walked each day as tracked by his fitness monitor, alongside his recorded billable hours from a work application on his computer.

The calculated slope is -0.245

The number of samples is n = 15

The standard error is 0.205

The confidence level is 95

The significance level is (100 - 95)% = 0.05

The degrees of freedom is n - 2 = 15 - 2 = 13

Critical Value = 2.16 = [using excel = TINV (0.05, 13)]

Marginal Error = Critical Value * standard error

= 2.16 * 0.205

= 0.4428

-0.245 \pm2.160(0.205)

8 0
7 days ago
Read 2 more answers
Mrs . Martin has $7,000 in her savings account . Alonzo has 1/10 as much money in his account as mrs. Martin . How much money do
lawyer [4008]

Martin possesses $7000 in her account.

Alonzo has one-tenth of Martin’s total.

This means Alonzo has:

\frac{1}{10} of 7000

When evaluating 'of', it implies multiplication is performed.

\frac{1*7000}{10}

The numerator will be divided by the denominator.

Thus the calculation yields - 7000/10 = $700.

Alonzo has a total of $700.

3 0
4 days ago
Read 2 more answers
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