Question

Reply to the following Discussion Question with a substantive post - one that demonstrates that you understand the mathematical concepts and provides an explanation rather than just making a simple statement about the topic. The z-statistic is calculated with the formula z = (sample statistic - null parameter)/(standard error). Why do we subtract the null parameter from the sample statistic? In other words, what does subtracting achieve for us? Why do we then divide that value by the standard error? *Answering "because that is what the formula says" will not be accepted. You need to get at the meaning of the z score by answering "why" we do these processes.

Answer #1

Substracting the null parameter from the sample statistic will re-locate the statistic to 0 i.e. the origin. The null parameter is the location parameter, substracting which from the sample statistic will translate the graph.

Again, dividing the value by standard error will re-scale the sample statistic. The standard error is the scale parameter, dividing the sample statistic by it will compress the pdf.

So, both these aspects are taken care of while standardizing the sample statistic.

Reply to the following Discussion Question with a substantive
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A sample survey asked a random sample of 1498 adult Canadians,
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considered an SRS of all adult Canadians, what is the proportion of
all Canadians who agree (as described) that all firearms should be
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Your solution must include the following parts, in order. Point
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a)...

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I. Choose the best answer for each
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1. ____ 4.____ 7. ____ 10.____ 13.
____
2. ____ 5.____ 8. ____ 11.____ 14.
____
3. ____ 6.____ 9. ____ 12.____ 15.
____
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The standard error of the sample mean will decrease as the
sample size increases....

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