g Suppose we toss the coin 1000 times to find 550 of them were heads. Use large sample approximation to find the random two-sided 95% confidence interval estimator for p. What does the confidence interval say about true probability of heads for the coin

The random two-sided 95% confidence interval estimator for p is

(0.5192 , 0.5807)

Step-by-step explanation:

step(i):-

Given  toss the coin 1000 times to find 550 of them were heads

given sample size n =1000

x = 550

sample proportion

Step(ii):-

The random two-sided 95% confidence interval estimator for p is determined by

(0.55 - 1.96 X 0.0157 , 0.55 + 1.96 X 0.0157)

(0.5192 , 0.5807)

conclusion:-

The random two-sided 95% confidence interval estimator for p is

(0.5192 , 0.5807)

confidence interval say the Population of proportion is lies between in these interval.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

need more detail

step-by-step explanation:

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