g Suppose that p=0.5 and you ran the experiment above (consisting of 200 coin flips) a total of 1000 times. What is the expected number of experiments such that the estimator n−−√(X¯¯¯¯¯n−0.5)0.5(1−0.5)√ is larger than the value D2 attained in the first experiment? (Round your answer to the nearest integer.)

The expected number of experiment is 198

Step-by-step explanation:

Solution

Given that:

We need to carry out a test

where,

H0 : p =0.5

and

H1 : p ≠ 0.5

n = the number of flip coin which is = 200

x = this is the number of  heads declared = 106

So,

xₙ = x/n = 106/200 = 0.53 = p

Thus,

D₂ =√n (xₙ - 0.5)/√0.5 * (1-0.5)

=√200 * (0.53 - 0.5)/ √0.5 * (1-0.5)

= 0.848528137

D₂ = 0.8485

Now,

p ( z> D₂ ) = p ( z > 0.8485)

=0.198072

Thus,

By applying R,

1 - pnorm (0.8485, 0,1)

That is (1- pnorm (D₂, 0, 1)

Hence,

p ( z> D₂ )≈ 0.198072

So,

We find The expected number of experiment such that the estimator √n (xₙ - 0.5)/√0.5 * (1-0.5)i s larger than the value D₂ when the total is 1000 times or  attained in the first experiment Thus

1000 * p ( z> D₂ )

= 1000 * 0.198072

=198.072

=198

Note: Kindly find an attached copy of the complete question below

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows:

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5