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2 Statistics

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Question 209

A company tests H0:p=0.7H_0:p=0.7H0​:p=0.7 against H1:p<0.7 H_1:p<0.7\,H1​:p<0.7 using a random sample of 45 outcomes. Its critical region is X≤24X\leq24X≤24.

a.

Calculate the actual significance level.

[2]
b.

Describe a Type I error in this context, where success means an order arrives on time.

[2]
c.

Explain how increasing the sample size can improve the test while keeping the significance level no greater than 2.5%.

[2]
Markscheme

2 Statistics Questions

  1. A Level
  2. /Maths
  3. /2 Statistics

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