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4 Unit A2 2: Applied Mathematics (A-level only)

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Question 91

A restaurant's records indicate that 30% of customers order a starter. The manager believes that the population proportion has decreased. A random sample of 40 customers is taken and X X\,X is the number who order a starter.

a.

Find the critical region for a test at the 5% level of significance.

[3]
b.

Find the actual significance level.

[1]
c.

In the sample, 7 customers order a starter. Complete the hypothesis test.

[2]
d.

Explain why the actual significance level is not exactly 5%.

[1]
Markscheme

4 Unit A2 2: Applied Mathematics (A-level only) Questions

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