Part 5 (3 pts)
Using the methods in Section 8.4, test the hypothesis (α =
0.05) that the population proportions of red and brown are equal (pred
= pbrown). You are testing if
their proportions are equal to one another, NOT if they are equal to one
another AND equal to 13%. NOTE: These are NOT independent samples, but we
will use this approach anyway to practice the method. This also means that n1 and n2
will both be the total number of candies
in all the bags. The “x” values for red
and brown are the counts of each we found on the Data page. You will need to calculate the weighted
Red, x = 581 and Brown, x = 557
to state clear hypotheses, test statistic, critical value or p-value, decision
(reject/fail to reject), and conclusion in English. Submit your answer as a Word, Excel, .rtf or
.pdf format through the M&M® project link in the weekly course content.
You can use StatCrunch or the TI to help with this
test. Needed information for both tools
x1 = number
n1 = total
number of candies
x2 = number
n2 = total
number of candies
For the TI, you will want 2-PropZTest. Then select the appropriate alternative (not
equal), and Calculate then enter. The
output will have the test statistic (z), p-value (p), sample p values, weighted
p (), then repeat of sample sizes.
For StatCrunch, you will select Stat > Proportions >
Two Sample > with summary. The output
will contain the test statistic (Z-Stat) and p-value.
Additional help is available in the Online Math Workshop
under MAT300 Archived Workshop.
Specifically Two Sample Inferences and Using Technology – Two Sample.
At the end of this project, you will be writing a report,
explaining the method and presenting the results from each part of the
project. You might find it useful to
write this as you complete the work, so the report will be mostly written by
the time it is assigned.