2 Dipak carries out a test, at the \(10 \%\) significance level, using a normal distribution. The null hypothesis is \(\mu = 35\) and the alternative hypothesis is \(\mu \neq 35\).
- Is this a one-tail or a two-tail test? State briefly how you can tell.
Dipak finds that the value of the test statistic is \(z = - 1.750\).
- Explain what conclusion he should draw.
- This result is significant at the \(\alpha \%\) level. Find the smallest possible value of \(\alpha\), correct to the nearest whole number.