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The standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 is equal to 0.0121.
<h3>What is a sample proportion?</h3>A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.
Mathematically, sample proportion can be calculated by using this formula:
Where:
- x represent the number of individuals with a specified characteristic.
- n represent the total number of individuals in a sample.
In Mathematics, the standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 can be calculated by using this formula:
Standard deviation (SD) = √(p(1 - p)/n)
Substituting the given parameters into the formula, we have;
Standard deviation (SD) = √(0.37(1 - 0.37)/1,600)
Standard deviation (SD) = √(0.37(0.63)/1,600)
Standard deviation (SD) = √(0.2331)/1,600)
Standard deviation (SD) = √0.0001457
Standard deviation (SD) = 0.0121.
Read more on standard deviation here: brainly.com/question/14467769
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Answer:
2/3* 4/5 = 8/15
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached file below.
Given:
- One-fifth (1/5) of the playground is used for students to sit and read
- 2/3 is used for playing soccer
- The rest of the playground is used for playing basketball
So assume that the the playground is divided into 5 equal part
=> 1 part is used for students to sit and read or (1/5)
=> the remaining equal part is 4 or (4/5)
Because 2/3 of the remaining part is used for playing soccer
=> the equation represents the part of the playground used for soccer is:
2/3 of 4/5
= 2/3* 4/5
= 8/15
