ortion a Bad Year for the Grizzly Bear\" orted that \"31 bears were killed illeg
ID: 3064069 • Letter: O
Question
ortion a Bad Year for the Grizzly Bear" orted that "31 bears were killed illegally had to be destroyed in a mountain habitat re can or million acres that has Glacier National rk and federal wilderness areas at its core. Pa That is the largest number of deaths caused by humans in the region since 1974, when States grizzly was listed as threatened under the ndan the gered Species Act. More worrisome is test of that 18 of the dead bears were females, which are more important than males to the population."38 This exercise requires you to assuming that half of all grizzlies are female. e in the reproductive health of the entire same as use software to test if a disproportionate number of killed bears were female, was less e was these is ed on the a. In choosing whether to formulate a one- sided or two-sided alternative hypothesis, keep in mind that most of us are not familiar enough with grizzly bear more behavior to have any expectations as to whether females would be more or less hristmas likely to be killed. State Ho and H that mathematically week the before . Report the sample proportion p. k c. Report the standardized sample d. Report the P-value. e. Was a disproportionate number of killed more no proportion z. hristmas before women afrer bears female, or could the sample ek proportion have come about by chance?Explanation / Answer
9.69
(a) H0 : p = 0.50
Ha : p 0.50
where p is the proportion of femaled bears out of total killed bears.
sample propotion p^ = 18/31 = 0.581
(c) Standard error of proportion sep = sqrt [0.581 * (1- 0.581)/31] = 0.0886
Z = (0.581 -0.5)/0.0886 = 0.91
(d) P - value = 2 * Pr(Z > 0.91) = 0.3629
(e) So, here p - value is greater than 0.05 so we will say that the results came by chance.
(f) If we formulate that the alernative hypothesis as p > 0.5 so p - value will be half and equals to 0.1814.
(g) 95% confidence interval = p^ +- Z95% se 0 = 0.581 +- 1.96 * 0.0886
= (0.407, 0.754)
(H) here our 95% confidence interval contains 0.5.
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