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2.5 Statistical Hypothesis Testing

2.5 Statistical Hypothesis Testing

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Question 13

Historically, 6% of batteries from a production line fail a capacity check. After a machine is serviced, the engineer believes that the failure proportion has decreased. Let $p\,$ be the population proportion that fail after the service.

Identify the correct pair of hypotheses for a test of Angela's belief.

Tick one box.

A

$H_0$ : $p = 0.06$ , $H_1$ : $\ne 0.06$

B

$H_0$ : $p = 0.06$ , $H_1$ : $p < 0.06$

C

$H_1$ : $p < 0.06$ , $H_1$ : $p = 0.06$

D

$H_1$ : $p = 0.06$ , $H_1$ : $p > 0.06$

Markscheme

2.5 Statistical Hypothesis Testing Questions

A Level
Maths
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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