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O 3/9 points Previous Answers lowskylntroStat1 8.HW.121. Ask Your Teacher 10 My Notes blacks newspaper. Of the 1,709 randomly selected adults, 315 identified themselves as Latinos, 323 identified themselves article regarding interracial dating and marriage recently appeared in 254 identified themselves as Asians, and 779 identified themselves as whites. Among Asians, 79% would welcome a white person into their families, 71% would welcome a Latino, and 66% would welcome a black person. normally distributed. (In general, you must first prove that assumption, though.) NOTE: If you are using a Student's t-distribution, you may assume that the underlying population Part (a) Construct three 95 % confidence intervals. (Round your answers four decimal places.) (i) Percent of all Asians who would welcome a white person into their families. 0.7614 8186 (i) Percent of all Asians who would welcome a Latino into their families. 0.6569 , 0.7601 (ii) Percent of all Asians who would welcome a black person into their families. 0.8241 0.8241 Part (b) Even though the three point estimates are different, do any of the confidence intervals overlap? Which? (Select all that apply.) Yes, the intervals for Latinos and blac. overlap n Yes, the intervals for whites and blacks overlap. No confidence intervals overlap. Yes, all three intervals overlap. Yes, the intervals for whites and Latinos overlap. Chap 8 Homework

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Answer 1

Solution:-

1) a)

i) The 95% confidence interval for the percent of all Asians who would welcome a white person in their families is  C.I = (0.7399 , 0.8401).

C.I pt2a/2x 1/P(1-p)

C.I = 0.79 + 1.96 × 0.02555

C.I = 0.79 + 0.05009

C.I = (0.7399 , 0.8401)

ii) The 95% confidence interval for the percent of all Asians who would welcome a Latino person in their families is

C.I = ( 0.6542, 0.7658)

C.I pt2a/2x 1/P(1-p)

C.I = 0.71 + 1.96 × 0.028472

C.I = 0.71 + 0.055804

C.I = ( 0.6542, 0.7658)

iii)

The 95% confidence interval for the percent of all Asians who would welcome a black person in their families is  C.I = (0.6017, 0.7183).

C.I pt2a/2x 1/P(1-p)

C.I = 0.66 + 1.96 × 0.029723

C.I = 0.66 + 0.05826

C.I = (0.6017, 0.7183)

b) Yes, the intervals for Latinos and black overlap.

Yes, the intervals for White and Latinos overlap.