Homework 9 Complete Solution

Question: #1631

In order to estimate the proportion of women over 50 who have annual mammograms with a 95% confidence interval to within 0.05, how many women must you interview? Assume that you estimate the proportion might be 0.6.

Resource-selection analysis compares the distributions of animals relative to the distribution of habitat. If the two don’t agree, there is evidence of selection. A survey of 106 moose found that 24 were located in “In burn – interior,” 22 in “In burn – edge,” 20 in “Out of burn – edge,” and 40 in “Other” habitat types. The corresponding proportion of the landscape as determined by a Geographic Information System (GIS) in these habitats was 0.340, 0.101, 0.104, and 0.455 respectively.

Categories	In burn-interior	In burn-edge	Out of burn	other
observation(expectation)

Refer to question 2, consider and complete the following directional test: the proportion of “other” is lower than 45.5%.

Categories	“other”	“non-other”
observation(expectation)

Find the chi-square term for the “Other” category.
(This is unique procedure for directional test only) Check whether the sample proportion is consistent with Ha.
Find the chi-square statistic.
Find the p-value of the test.

Solution: #1617

Homework 9 Complete Solution

Here, p=0.6; ME = 0.05 and Z value = Z0.025=1.96 So required sa...