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PE2379 ch04.qxd 24/1/02 16:05 Page 244<br />

hypothesis formation<br />

ANALYTIC INDUCTION). If for research purposes the speculation is translated<br />

into a statement that can be tested by quantitative methods in<br />

research, the statement is known as a statistical hypothesis, stated with<br />

reference to population PARAMETERs (e.g. population mean) and takes the<br />

form <strong>of</strong> two opposing but related hypotheses: a null hypothesis, symbolized<br />

by H 0 , and an alternative hypothesis, symbolized by H a or H 1 , that<br />

are mutually exclusive and exhaustive. A null hypothesis is a statement<br />

that “No difference exists between groups A and B” or “There is no correlation<br />

between variables A and B”, whereas the alternative hypothesis<br />

is an opposite statement that “The mean for group A is higher than that<br />

for group B” or “There is a positive correlation between variables A and<br />

B”. The statistical analysis <strong>of</strong> research results is frequently designed to<br />

determine whether or not a null hypothesis should be rejected, thus providing<br />

support for an alternative hypothesis.<br />

see also HYPOTHESIS TESTING<br />

hypothesis formation n<br />

(in language learning) the formation <strong>of</strong> ideas (“hypotheses”) by a learner<br />

about the language he or she is learning. These hypotheses may be conscious<br />

or unconscious. Most people would agree that at least some <strong>of</strong><br />

these ideas come from the language we see and hear around us, but scholars<br />

holding the INNATIST HYPOTHESIS claim that our most important<br />

and basic ideas about language in general are present at birth.<br />

hypothesis testing n<br />

a procedure to test a statistical hypothesis. A five-step version <strong>of</strong> hypothesis<br />

testing proceeds as follows:<br />

1 State a null hypothesis (H 0 ) and an alternative hypothesis (H a ).<br />

2 Set a level <strong>of</strong> statistical significance () (see ALPHA).<br />

3 Select and calculate an appropriate test statistic, a numerical value calculated<br />

from the data sampled from a population and used to determine<br />

whether or not H 0 should be rejected, which results in a<br />

calculated value.<br />

4 Compare the sample evidence from Step 3 against a criterion (i.e. a calculated<br />

value against a critical value or a p-value against ).<br />

5 Make a decision regarding the null hypothesis (i.e. either to reject H 0 in<br />

favour <strong>of</strong> H a or fail to reject H 0 ).<br />

see also STATISTICAL SIGNIFICANCE<br />

244

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