This page holds a finished MATH 225 Week 6 hypothesis test write-up, showing the hypotheses, the decision rule, the result and a separate paragraph on clinical size. Searches like "math 225 week 6 assignment example", "math225 week 6 sample" and "math 225 week 6 example" land here.
What a finished MATH 225 Week 6 hypothesis test write-up looks like
Both hypotheses appear in words before a single figure does, and they are about the same quantity, which is less common in submitted work than it sounds. The test chosen is named with a line saying why it fits this data and this question. The significance level is fixed in advance and said to have been fixed in advance. Results are reported with the test statistic, the p-value and the sample size together, and software output is shown with its labels rather than summarized from memory. The decision is stated in the careful language the topic requires, as a decision about a null claim and not as proof of anything. Then a separate paragraph, the graded half, on whether a difference this size would matter at a bedside.
How a MATH 225 Week 6 example is structured
Sections differ on the tool and many accept output from a spreadsheet or the classroom package as long as it is legible. The order is close to fixed. A clinical question opens the document, stated in one line. The two hypotheses follow in words and then in symbols, both referring to the same measure, with the direction stated. The significance level is set next, before any result, since fixing it afterwards is visible to a marker and costs more than it saves. The test is named and justified in a line. Output arrives with statistic, p-value and sample size shown together. The decision follows in the topic's own guarded wording. The last paragraph leaves arithmetic behind and asks what the size of the observed difference would mean for a patient, which is where the top of the range separates from the middle.
The clinical question first
One sentence naming what is being compared and among whom, so that the hypotheses following it have something concrete to be about.
Two hypotheses, one quantity
Both statements written in words and in symbols and both referring to the same measure, which is where a surprising number of submissions come apart.
The level fixed in advance
The significance level set before any result is seen and said to have been, since choosing it afterwards is obvious to a marker and expensive.
Output shown, not summarized
Statistic, p-value and sample size reported together with labels visible, so that the decision can be checked against the numbers which produced it.
Would it change anything
A closing paragraph on whether a difference of the observed size would alter care, which is the half of the document that separates the grades.
Where marks go in MATH 225 Week 6
Nothing costs more here than the sentence reading a small p-value as proof, or as evidence that the effect must be big. It is the error the whole course exists to prevent, and instructors mark it hard wherever it appears. Next is accepting the null, phrasing a result that fell short as showing no difference exists rather than as failing to find one. Third is hypotheses that quietly measure different things, one written about a mean and the other about a proportion, which makes the test unanswerable. Fourth is a significance level introduced after the p-value is already known, which a marker reads as a threshold chosen to fit the answer. Last is a decision reported with no clinical paragraph behind it.
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MATH 225 Week 6 questions, answered
What is the correct way to state a non-significant result?
As a failure to find evidence, not as evidence of no difference. The distinction is small in English and large in the rubric, because a test that finds nothing may simply have been run on too few patients to see what is there. The finished example writes its decision in that guarded form and adds a clause noting what the sample size leaves it unable to rule out.
Does the write-up need both a decision and an interpretation?
Yes, and they are separate paragraphs doing different work. The decision is a statement about the null claim at the level that was set. The interpretation asks whether a difference of that size would change practice, which a p-value cannot answer on its own. Submissions stopping at the decision read as arithmetic exercises and get marked as such.
How should the effect size be handled at this level?
In plain terms rather than with graduate machinery. Reporting the observed difference in its own units, beside something a nurse recognizes as meaningful, is usually all that is wanted here. A gap of a few minutes or a couple of points is described as what it would mean across a shift, and the example says clearly whether that is worth acting on.