7 A ten-sided spinner has edges numbered \(1,2,3,4,5,6,7,8,9,10\). Sanjeev claims that the spinner is biased so that it lands on the 10 more often than it would if it were unbiased. In an experiment, the spinner landed on the 10 in 3 out of 9 spins.
- Test at the \(1 \%\) significance level whether Sanjeev's claim is justified.
- Explain why a Type I error cannot have been made.
In fact the spinner is biased so that the probability that it will land on the 10 on any spin is 0.5 . - Another test at the \(1 \%\) significance level, also based on 9 spins, is carried out. Calculate the probability of a Type II error.
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