From the Standard Normal table, the z value for 95% confidence level is 1.96.

The 95% confidence intervals for the Asian responses "Welcome a white peron" is,

\(\displaystyle{C}{I}=\hat{{{p}}}\pm{z}\sqrt{{{\frac{{\hat{{{p}}}{\left({1}-\hat{{{p}}}\right)}}}{{{n}}}}}}\)

\(\displaystyle={0.79}\pm{1.96}\sqrt{{{\frac{{{0.79}{\left({1}-{0.79}\right)}}}{{{255}}}}}}\)

\(\displaystyle={0.79}\pm{0.0499}\)

\(\displaystyle={\left({0.7401},\ {0.8399}\right)}\)

Step 2

The 95% confidence intervals for the Asian responses "welcome a black person" is,

\(\displaystyle{C}{I}=\hat{{{p}}}\pm{z}\sqrt{{{\frac{{\hat{{{p}}}{\left({1}-\hat{{{p}}}\right)}}}{{{n}}}}}}\)

\(\displaystyle={0.66}\pm{1.96}\sqrt{{{\frac{{{0.66}{\left({1}-{0.66}\right)}}}{{{255}}}}}}\)

\(\displaystyle={0.66}\pm{0.0581}\)

\(\displaystyle={\left({0.6019},\ {0.7181}\right)}\)

The 95% confidence intervals for the Asian responses "welcome a latino" is,

\(\displaystyle{C}{I}=\hat{{{p}}}\pm{z}\sqrt{{{\frac{{\hat{{{p}}}{\left({1}-\hat{{{p}}}\right)}}}{{{n}}}}}}\)

\(\displaystyle={0.71}\pm{1.96}\sqrt{{{\frac{{{0.71}{\left({1}-{0.71}\right)}}}{{{255}}}}}}\)

\(\displaystyle={0.71}\pm{0.0557}\)

\(\displaystyle={\left({0.6543},\ {0.7657}\right)}\)