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Hypothesis Testing

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Foundations of Biostatistics

Abstract

The concepts and techniques of hypothesis testing are introduced in this chapter. The definition and concept of null and alternative hypotheses, rejection and non-rejection of null hypothesis one-sided and two-sided tests, test statistic , types of error, critical region and p-value are discussed with examples. The step-by-step procedures of testing a null hypothesis against an alternative are shown in this chapter. The hypothesis testing procedures are illustrated with examples for single mean and single proportion and difference between two means and two proportions under various situations arising from assumptions about population (normal or non-normal), sample size (small or large), population variance (known or unknown) and sample sizes equal or unequal in case of two samples. In addition, if the equality of population means are tested for correlated data then the paired t test is shown with example. This chapter includes many examples to illustrate the procedures in easy steps.

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Correspondence to M. Ataharul Islam .

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Islam, M.A., Al-Shiha, A. (2018). Hypothesis Testing. In: Foundations of Biostatistics. Springer, Singapore. https://doi.org/10.1007/978-981-10-8627-4_8

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