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Questions › DSE › DSE 2008 › Q25
2 marksStatistics › Hypothesis testing › Tests for means, proportions and variancesHardabout 4 min

DSE 2008 Question 25: Hypothesis testing

In a random sample of 400 mangoes from a large consignment, 30 were found rotten. The null hypothesis is that the proportion π\piπ of rotten mangoes is 10%. It is true that:

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In a random sample of 400 mangoes from a large consignment, 30 were found rotten. The null hypothesis is that the proportion π of rotten mangoes is 10%. It is true that: (A) Given H_A:π≠ 0.1, we can't reject the null at the 1% level of significance, and the probability of type I error of this test is 0.005. (B) Given H_A:π<0.1, we reject the null at the 5% level, and the probability of type I error of this test is 0.05. (C) Given H_A:π≠ 0.1, we reject the null at the 10% level of significance, and the probability of type I error of this test is 0.1. (D) If H_A:π>0.1, the power of the associated test is higher than if H_A:π<0.1.

Also written as: In a random sample of 400 mangoes from a large consignment, 30 were found rotten. The null hypothesis is that the proportion pi of rotten mangoes is 10%. It is true that:

Hypothesis testing has come up 47 times in 7 exams since 2007.

What this question tests

This question is on Tests for means, proportions and variances, part of Hypothesis testing in Statistics.

Applying z, t, F and chi-square tests to common problems.

TestStop has 15 past-paper questions on this subtopic.

Practise Hypothesis testingMore on Tests for means, proportions and variances

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Question from the DSE 2008 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.