Moderate -0.8 This is a straightforward recall question testing understanding of Type I error definition. Students only need to recognize that P(Type I error) equals the significance level α, requiring no calculation or problem-solving—just direct application of a fundamental statistical concept.
2 A binomial hypothesis test was carried out at the \(5 \%\) level of significance with the hypotheses
$$\begin{aligned}
& \mathrm { H } _ { 0 } : p = 0.6 \\
& \mathrm { H } _ { 1 } : p > 0.6
\end{aligned}$$
A sample of size 30 was used to carry out the test.
Find the probability that a Type I error was made.
Circle your answer. [0pt]
[1 mark]
\(4.4 \%\) 4.8\% 5.0\% 9.4\%
2 A binomial hypothesis test was carried out at the $5 \%$ level of significance with the hypotheses
$$\begin{aligned}
& \mathrm { H } _ { 0 } : p = 0.6 \\
& \mathrm { H } _ { 1 } : p > 0.6
\end{aligned}$$
A sample of size 30 was used to carry out the test.\\
Find the probability that a Type I error was made.\\
Circle your answer.\\[0pt]
[1 mark]\\
$4.4 \%$ 4.8\% 5.0\% 9.4\%
\hfill \mbox{\textit{AQA Further AS Paper 2 Statistics 2019 Q2 [1]}}