what hypothesis test should be used to test straight h subscript 1 italic colon italic space italic space sigma to the power of italic 2 subscript italic 1 over sigma to the power of italic 2 subscript italic 2 italic space italic space italic greater than italic space italic 1 one-sample test of means one-sample test of proportions one-sample test of variances two-sample test of means (independent samples) two-sample test of means (paired samples) two-sample test of proportions two-sample test of variances

In a scientific setting, a hypothesis (plural: hypotheses) is a tested claim regarding the relationship between two or more variables or a suggested explanation for a phenomenon that has been observed.
The hypothesis is a succinct statement of the researcher's expectation of the study's findings, which may or may not be confirmed by the results, in a scientific experiment or study.
The scientific method's fundamental step is hypothesis testing.
It is customary to refer to the researcher's prediction as the alternative hypothesis and any other result as the null hypothesis, or, more simply put,
the opposite of what was anticipated. (However, the words are switched around if researchers are speculating that there won't be any difference or change, for instance, that the occurrence of one variable won't rise or fall in concert with the

hence,sample test of means one-sample test of proportions one-sample test of variances two-sample test of means (independent samples) two-sample test of means (paired samples) two-sample test of proportions two-sample test of variances.

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