Skip to content

Course home

Sign up

4.3 Statistical hypothesis testing (A-level only)

EasyMediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576777879808182838485868788899091
Question 6

For a random sample of 15 farms, the sample correlation between annual rainfall and wheat yield is r=0.462r=0.462r=0.462. A researcher tests H0:ρ=0H_0:\rho=0H0​:ρ=0 against H1:ρ>0H_1:\rho>0H1​:ρ>0. The one-tailed p-value is 0.0410.

a.

State the conclusion at the 5% significance level.

[2]
b.

Another researcher uses a two-tailed test on the same data. The two-tailed p-value is 0.0820. State the conclusion and explain the difference.

[3]
c.

Explain why a significant positive correlation would not prove that greater rainfall causes a higher wheat yield.

[1]
Markscheme

4.3 Statistical hypothesis testing (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.3 Statistical hypothesis testing (A-level only)

308 exam-style questions on WJEC A Level Maths 4.3 Statistical hypothesis testing (A-level only), covering 4.3.1 Statistical hypothesis testing (A-level only) and 4.3.2 Statistical hypothesis testing (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank