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2.5 Statistical Hypothesis Testing

2.5 Statistical Hypothesis Testing

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Question 114

The random variable X X\,X has the distribution X∼B(25,0.3)X \sim B(25, 0.3)X∼B(25,0.3) under the null hypothesis H0H_0H0​: p=0.3p = 0.3p=0.3, and the alternative hypothesis is H1H_1H1​: p<0.3p < 0.3p<0.3.

a.

Using a 5% significance level, find the critical region for this test.

[3]
b.

State the conclusion of the test if the observed value of X X\,X is 4.

[2]
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.

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