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2 Statistics

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Question 469

The probability that a fair spinner lands on 3 is 14\displaystyle \frac1441​.

a.

In 12 spins, find the probability of exactly two 3s and the probability of more than four 3s. Alex then believes the probability is greater than 14\displaystyle \frac1441​ after 15 of 40 spins are 3s. For part (b), use H0:p=14\displaystyle H_0:p=\frac14H0​:p=41​, H1:p>14\displaystyle H_1:p>\frac14H1​:p>41​ and Y∼B(40,14)\displaystyle Y\sim B(40,\frac14)Y∼B(40,41​) under H0H_0H0​.

[3]
b(i).

Calculate the exact p-value.

[2]
b(ii).

State the decision at the 5% level and give a conclusion in context.

[2]
Markscheme

2 Statistics Questions

  1. A Level
  2. /Maths
  3. /2 Statistics

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