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2.5.1 Statistical hypothesis testing

Question 2

The random variable $X\,$ has the distribution $\sim B(24, 0.35)$ under the null hypothesis $H_0$ : $p = 0.35$ , and the alternative hypothesis is $H_1$ : $\ne 0.35$ .

A two-tailed test is to be carried out at the 5% significance level, with a probability of at most 0.025 in each tail.

Find the critical region for this test.

[4]

Find the actual significance level of a test based on this critical region.

[1]

Explain why the actual significance level is not equal to 5%.

[1]

Markscheme

2.5.1 Statistical hypothesis testing Questions

A Level
Maths
2.5.1 Statistical hypothesis testing

32 exam-style questions on WJEC A Level Maths 2.5.1 Statistical hypothesis testing. Each one has a worked solution and a mark scheme showing where the marks go.

2.5.1 Statistical hypothesis testing

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2.5.1 Statistical hypothesis testing

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Question 2

The random variable $X\,$ has the distribution $\sim B(24, 0.35)$ under the null hypothesis $H_0$ : $p = 0.35$ , and the alternative hypothesis is $H_1$ : $\ne 0.35$ .

A two-tailed test is to be carried out at the 5% significance level, with a probability of at most 0.025 in each tail.

Find the critical region for this test.

[4]

Find the actual significance level of a test based on this critical region.

[1]

Explain why the actual significance level is not equal to 5%.

[1]

Markscheme

2.5.1 Statistical hypothesis testing Questions

A Level
Maths
2.5.1 Statistical hypothesis testing

32 exam-style questions on WJEC A Level Maths 2.5.1 Statistical hypothesis testing. Each one has a worked solution and a mark scheme showing where the marks go.