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Homework 9 | Complete Solution

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  1. 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.

 

  1. 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.

 

  1. What is the null and alternative hypothesis?
     
  2. Complete the chi-square GOF table

 

Categories

In burn-interior

In burn-edge

Out of burn

other

observation(expectation)

 

 

 

 

 

  1. Find the chi-square term for the “Other” category.
  2. Find the chi-square statistic.
  3. Find the p-value of the test.

 

  1. Refer to question 2, consider and complete the following directional test: the proportion of “other” is lower than 45.5%.
  1. Define the hypothesis.
  2. Complete the chi-square GOF table

 

Categories

“other”

“non-other”

observation(expectation)

 

 

  1. Find the chi-square term for the “Other” category.
  2. (This is unique procedure for directional test only) Check whether the sample proportion is consistent with Ha.
  3. Find the chi-square statistic.
  4. Find the p-value of the test.
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[Solved] Homework 9 | Complete Solution

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  • Submitted On 03 Apr, 2015 09:53:28
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Here, p=0.6; ME = 0.05 and Z value = Z0.025=1.96 So required sa...
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