Skip to content

Course home

Sign up

2 Unit 2: Applied Mathematics A

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104
Question 97

A published study found that 75% of diesel cars in a large random sample registered in 2022 had CO emissions of less than 0.3 g/km.

Jo wants to investigate whether the proportion of diesel cars with CO emissions of less than 0.3 g/km has changed in the later year. She will carry out a hypothesis test at the 10% significance level, with a probability of at most 0.05 in each tail, using a random sample of 30 diesel cars registered in the later year.

a.

State suitable null and alternative hypotheses for Jo's test.

[1]
b.

Using a 10% significance level, find the critical region for Jo's test.

[5]
c.

In her random sample, Jo finds 22 cars with CO emissions of less than 0.3 g/km. State Jo's conclusion in context.

[1]
Markscheme

2 Unit 2: Applied Mathematics A Questions

  1. A Level
  2. /Maths
  3. /2 Unit 2: Applied Mathematics A

Question bank