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Mathematics & Economics
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Statistics questions (Essay Sample)

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Forms of hypothesis in statistics, i.e null and alternative hypotheses.

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There are two forms of hypothesis in statistics, null and alternative hypotheses. Null hypothesis, H0 is an explanation regarding a statistical phenomenon from a set of data that is assumed to be valid unless actual analysis turns to contradict the said phenomena behavior. However, an alternative hypothesis, H1 which is otherwise called the research hypothesis is one which specifies that the said null hypothesis does not hold. Statistical analysis has to be carried out in the alternative hypothesis to prove if null hypothesis is true.
Statistical hypothesis testing is a form of decision making from a given data set. It carries with it one or two sample tests from a controlled experiment. One sample test is carried out when the characteristics of a sample are being compared to a population which has a given hypothesis. The attributes of the population are known with certainty. On the other hand, two sample tests are carried out on in order to compare attributes from two different samples which arise from identical controlled experiments.
Flaws are made when making tests on the null hypothesis. Whereas type 1 error specifies the case where a hypothesis is rejected when it should have been accepted, type 2 error is a kind of error made when a hypothesis is accepted when it ought to have been rejected. In other terms, type 1 entails rejection of a true hypothesis but type 2 is the acceptance of a false hypothesis. If proper procedures are followed during the tests then type I of error is controllable.
Paired and unpaired samples are the two forms of samples that can be applied in two sample tests. Paired samples are also known as dependent samples as they contain pairs of units that are matched together. The matched pairs are similar in character or are in groups that have been tested twice in a controlled experiment...
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