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2.5 Statistical Hypothesis Testing

2.5 Statistical Hypothesis Testing

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Question 1
30%

The discrete random variable X∼B(20,0.41)X \sim B(20, 0.41)X∼B(20,0.41)

a.

Find P(3<X≤7)P(3 < X \leq 7)P(3<X≤7)

[2]
b.

Previous research by a restaurant found that 30% of customers will order a starter.
On one day a random sample of 40 customers is taken and 7 order a starter.

Test at the 5% significance level whether the proportion of customers ordering a starter has decreased.

[5]
c.

State the conclusion you would have reached if you tested at the 10% significance level.

[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.

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