A bag of marbles has 4 Red and 3 Green marbles. You pick from the bag, replace the marble and then pick again. What is the proba
1 answer:
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Answer:
Step-by-step explanation:
Notice that A, B, and C constitute the vertices of a right angle triangle, with the right angle at the vertex A.
If we count the number of squares separating B and A (one of the legs of the right angle triangle) we find 8 units.
If we count the number of squares separating C from A (the other leg of the right angle triangle), we get: 3 units.
Then, we apply the Pythagorean theorem to find that length of the triangle's hypotenuse which is the segment BC:
Answer:
99% confidence interval for the population proportion of employed individuals is [0.104 , 0.224].
Step-by-step explanation:
We are given that a simple random sample of size n=250 individuals who are currently employed is asked if they work at home at least once per week.
Of the 250 employed individuals surveyed, 41 responded that they did work at home at least once per week.
Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;
P.Q. = ~ N(0,1)
where, = sample proportion of individuals who work at home at least once per week =
= 0.164
n = sample of individuals surveyed = 250
<em>Here for constructing 99% confidence interval we have used One-sample z proportion statistics.</em>
So, 99% confidence interval for the population proportion, p is ;
P(-2.5758 < N(0,1) < 2.5758) = 0.99 {As the critical value of z at 0.5%
level of significance are -2.5758 & 2.5758}
P(-2.5758 < < 2.5758) = 0.99
P( <
<
) = 0.99
P( < p <
) = 0.99
<em>99% confidence interval for p</em> = [ ,
]
= [ ,
]
= [0.104 , 0.224]
Therefore, 99% confidence interval for the population proportion of employed individuals who work at home at least once per week is [0.104 , 0.224].