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It is often a "goodness of fit" test. This is a test of how well the observations match the frequencies that would have been expected on theoretical basis. The theoretical basis may simply be your hypothesis.
Z Test
Any decision based on the test statistic is marginal in such a case. It is important to remember that the test statistic is derived on the basis of the null hypothesis and does not make use of the distribution under the alternative hypothesis.
.. Statistics is the science which deals with the collection,presentation,analysis and interpretation of numerical data, as well as drawing valid conclusions and making reasonable decision on the basis of such analysis
Unknown. The first IQ test was published in 1916 by Binet and I doubt Wright was tested. It is reasonable to assume he had a high IQ.