3 A random sample of 75 students at a large college was selected for a survey. 15 of these students said that they owned a car. From this result an approximate \(\alpha \%\) confidence interval for the proportion of all students at the college who own a car was calculated. The width of this interval was found to be 0.162 .
Calculate the value of \(\alpha\) correct to 2 significant figures.
3 A random sample of 75 students at a large college was selected for a survey. 15 of these students said that they owned a car. From this result an approximate $\alpha \%$ confidence interval for the proportion of all students at the college who own a car was calculated. The width of this interval was found to be 0.162 .
Calculate the value of $\alpha$ correct to 2 significant figures.\\
\hfill \mbox{\textit{CAIE S2 2021 Q3}}