Skip to content

Course home

2.5 Statistical Hypothesis Testing

2.5 Statistical Hypothesis Testing

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177
Question 36

The probability of a bias dice landing on 6 is 0.4. The dice is going to be rolled 20 times.

a.

Find the probability that the dice will land on 6 exactly 5 times.

[1]
b.

Write down the hypotheses that should be used to test Polly's suspicion

[1]
c.

Using a 10% significance level find the critical region for a two tailed test to test Polly's suspicion. You should state the probability of rejection in each tail, which should be less than 0.05

[4]
d.

Find the actual significance level of a test based on your critical region from part (c)

[1]
e.

Polly rolls the dice 20 times. The dice lands on six 11 times. Comment on Polly's suspicion in light of the experiment

[1]
Markscheme

2.5 Statistical Hypothesis Testing Questions

  1. A Level
  2. /Maths
  3. /2.5 Statistical Hypothesis Testing

316 exam-style questions on OCR A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 The language of hypothesis testing, 2.5.2 Hypothesis test for a binomial proportion, 2.5.3 Inference and significance level, 2.5.4 Sample mean as a random variable (A-level only), 2.5.5 Hypothesis test for the mean of a normal distribution (A-level only), 2.5.6 Pearson's product-moment correlation coefficient, and 2.5.7 Hypothesis test using Pearson's coefficient (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank