An article regarding interracial dating and marriage recently appeared in a newspaper. Of the 1708 randomly selected adults, 314 identified themselves as Latinos, 322 identified themselves as blacks, 253 identified themselves as Asians, and 775 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.NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) For any intervals that do not overlap, in words, what does this imply about the significance of the differences in the true proportions?Intervals that do not overlap do not give any indication about the difference of the true population proportion.The intervals for black and white do not overlap, which means that there is no significant difference in their population proportions.There are no intervals that do not overlap, implying that there is not a significant difference in their population proportions.O The intervals for black and white do not overlap, which means that there is a significant difference in their population proportions. O Part (a)Construct the 95% confidence intervals for the three Asian responses. (Round your answers to four decimal places.)welcome a white personwelcome a Latinowelcome a black personO Part (b)Even though the three point estimates are different, do any of the confidence intervals overlap? Which? (Select all that apply.)No confidence intervals overlap.Yes, the intervals for Latinos and blacks overlap.Yes, the intervals for whites and blacks overlap.Yes, the intervals for whites and Latinos overlap.Yes, all three intervals overlap.O Part (c)For any intervals that do overlap, in words, what does this imply about the significance of the differences in the true proportions?O The confidence intervals for black and Latino overlap, and the overlapping region contains the black and Latino sample proportions; therefore, there is no evidence of a significant difference between their true proportions.The confidence intervals for white and Latino overlap, but the overlapping region does not contain the white or Latino sample proportions; therefore, there is evidence of a significant difference between their true proportions.The confidence intervals for white and Latino overlap, as do those for black and Latino, which means that there is no significant difference in their proportions.There are no confidence intervals that overlap, implying that there is a significant difference in their population proportions.Intervals that overlap do not give any indication about the difference of the true population proportion.

Given: Asians = 253 Among Asians welcome a white person, Latino and black person. White Person =…

Answered: An article regarding interracial dating…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An article regarding interracial dating and marriage recently appeared in a newspaper. Of the 1708 randomly selected adults, 314 identified themselves as Latinos, 322 identified themselves as blacks, 253 identified themselves as Asians, and 775 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.

NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

For any intervals that do not overlap, in words, what does this imply about the significance of the differences in the true proportions?
Intervals that do not overlap do not give any indication about the difference of the true population proportion.
The intervals for black and white do not overlap, which means that there is no significant difference in their population proportions.
There are no intervals that do not overlap, implying that there is not a significant difference in their population proportions.
O The intervals for black and white do not overlap, which means that there is a significant difference in their population proportions.

O Part (a)
Construct the 95% confidence intervals for the three Asian responses. (Round your answers to four decimal places.)
welcome a white person
welcome a Latino
welcome a black person
O Part (b)
Even though the three point estimates are different, do any of the confidence intervals overlap? Which? (Select all that apply.)
No confidence intervals overlap.
Yes, the intervals for Latinos and blacks overlap.
Yes, the intervals for whites and blacks overlap.
Yes, the intervals for whites and Latinos overlap.
Yes, all three intervals overlap.
O Part (c)
For any intervals that do overlap, in words, what does this imply about the significance of the differences in the true proportions?
O The confidence intervals for black and Latino overlap, and the overlapping region contains the black and Latino sample proportions; therefore, there is no evidence of a significant difference between their true proportions.
The confidence intervals for white and Latino overlap, but the overlapping region does not contain the white or Latino sample proportions; therefore, there is evidence of a significant difference between their true proportions.
The confidence intervals for white and Latino overlap, as do those for black and Latino, which means that there is no significant difference in their proportions.
There are no confidence intervals that overlap, implying that there is a significant difference in their population proportions.
Intervals that overlap do not give any indication about the difference of the true population proportion.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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