An educator wants to construct a 98% confidence interval for the proportion of elementary schoolchildren in Colorado who are proficient in reading. i. The results of a recent statewide test suggested that the proportion is 0.65. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.04? ii. Estimate the sample size needed if no estimate of p is available. O i. 770 ii. 846 O i. 547 ii. 601 O i. 944 ii. 1037 O i. 385 ii. 423

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A: Given certain disease has an incidence rate of 0.5%. If the false negative rate is 4% the false…

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Q: Suppose that a random variable X has PDF defined by fx(x): = a(1+x) a(1-x) 0 if −1 b] = / P[X ≤ b].

A:

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A: Given information: In American football, touchdowns are worth 6 points. After scoring a touchdown,…

Q: Suppose that a family has 6 children. Also, suppose that the probability of having a girl (based on…

A: given data, n=6p(girl)=12=0.50p(boy)=p=0.50x= no. of boys p(X=x)=nCx*px*qn-x  (binomial…

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A:

Q: For any two random variables Y₁ and Y₂, Var(Y₁Y₂|Y₁ = y₁) = y{Var(Y₂|Y₁ = y₁). TRUE

A: Given that Y1 and Y2 are two random variables. Formula: If X is a random variable, then VX=EX2-EX2.…

Q: Problem #6: Let X be a Poisson random variable with parameter 2, and Y a geometric random variable…

A: Given that, X be  a Poisson random variable with parameter 2 and Y be a geometric random variable…

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Q: Page 353, 5.4.4.* Let X and Yn be 1-dimensional random variables such that Xn and Yn are independent…

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Q: The average count calculation errors at a local accounting firm per 12-h shift are 2.8. What is the…

A: Given that : λ=2.8

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Q: Reading proficiency: An educator wants to construct a  99.9%  confidence interval for the…

A: Solution-: Given: p^=0.73, M.E.=0.07, c=0.999 We want to find the sample size is needed so that the…

Q: Which of the following is true? (Intercept) unemp Estimate -6.7142 -1.0010 Std. Error t value 5.4567…

A: The 'unemp' coefficient is not significant, because the corresponding p-value, which is Pr>|t| is…

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A:

Q: The heights of basketball players, in inches, on two different teams is given in the data. Champs:…

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Q: (a) Let X-N(μ1,0²) and Y~N(μ2,0²) be independent, where H₂> H1>0. Show that Y-X - Ν(μ2-11,207). (b)…

A: a) Given information: X~Nμ1,σ2 and Y~Nμ2,σ2 Consider, EY-X=EY-EX                =μ2-μ1 VY-X=VY+VX…

Q: Giving a test to a group of students, the grades and gender are summarized below A B C Total…

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A: A store manager observes that the morale of employees in her supermarket is low. She thinks that if…

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Q: Let U = {a,b,c,d,e,f,10,11,12,13,14,15}, X= {a,b,c,10,11,12}, Y = {b,d,f,11,13,15}, and Z=…

A: According to the given information, we have…

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A:

Q: The table shows relative frequencies for red-green color blindness in one doctor's practice. M…

A: The table shows the relative frequencies for red-green color blindness in one doctor’s practice.

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Q: Suppose that a family has 8 children. Also, suppose that the probability of having a boy (based on…

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Q: Find the number of ways in which two Americans, two British, one Chinese, one Dutch and one Egyptian…

A: Given that, two Americans, two British, one Chinese, one Dutch and one Egyptian.

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Q: 13. Suppose E and F are events in a sample space S with P(E) = 0.43, P(F) = 0.69, and P(EUF) = 0.85.…

A: According to the given information, we have P(E) = 0.43P(F) = 0.69P(E∪F)=0.85

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