Skip to content

Course home

Sign up

Hypothesis Testing

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114
Question 81

The discrete random variable X∼B(20,0.4)X \sim B(20, 0.4)X∼B(20,0.4)

Previous research by a restaurant found that 25% of customers will order a starter. On one day a random sample of 20 customers is taken and 2 order a starter.

a.

Find P(3<X≤7)P(3 < X \leq 7)P(3<X≤7)

[2]
b.

Test at the 5% significance level whether the proportion of customers ordering a starter has decreased.

[5]
c.

State the conclusion you would have reached if you tested at the 10% significance level.

[1]
Markscheme

Hypothesis Testing Questions

  1. A Level
  2. /Maths
  3. /Hypothesis Testing

153 exam-style questions on Edexcel A Level Maths Hypothesis Testing, covering 7.1 Hypothesis Testing, 7.2 Finding Critical Values, 7.3 One-Tailed Tests, and 7.4 Two-Tailed Tests. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank