The following is based on Information from The Wolf in the Southwest: The Making of an Endangered Species, by David E. Brown (University of Artzona Press). Before 1918, the proportion of female wolves in the general population of all southwestem wolves was about 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 37 wolves, there were only 11 females. One theory is that male wolves tend to return sooner than females to their old terrtories, where their predecessors, were exterminated. Do these data Indicate that the population proportion of female wolves is now less than 50% In the reglon? Use a = 0.01. (a) what is the level of signihcance? state the null and alternate hypotheses. O H p-05; H p< 0.5 O Ho p= 0.5; H, p > 0.5 O Hạ: p- 0.5; H: p 0.5 O Ho p<0.5, H,:P-0.5 (b) what sampling distribution will you use? O The Student's t, since np<5 and ng 5 and ng >5 O The Student's t, since np >5 and ng >5 what is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the Pvalue of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area comresponding to the Pvalue

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The following is based on Information from The Wolf in the Southwest: The Making of an Endangered Species, by DavidE. Brown (University of Artzona Press). Before 1918, the proportion of female wolves in the general population of all southwestem wolves was about 50%. However, after
1918. southwestem cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 37 wolves, there were only 11 females, One theory is that male wolves tend to return sooner than females to their old territories, where their predecessors were exterminated, Do these
data Indicate that the population proportion of female wolves is now less than 50% in the regton? Uce =0.01.
(a) What is the level of signiicance?
state the nul and alternate hypotheses.
O Hoi p= 0.5; H:p< 0.5
O Hg: P= 0.5; H,P> 0.5
O Hoi p- 0.5; H:p- 0.5
O Ho: p< 0.5; H,p- 0.5
(b) What sampling distribution will you use?
O The Student's t. since no <5 and ng <5.
O The standard normal, since np <5 and ng < 5
O The standard normal, since np > 5 and ng > 5.
O The Student's t, since np >5 and ng > 5
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value
us O A 8:31
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Transcribed Image Text:O SPS Programs 3 m Online Locker: Virtu. F Untitled document - G kji - Google Search Spanish The following is based on Information from The Wolf in the Southwest: The Making of an Endangered Species, by DavidE. Brown (University of Artzona Press). Before 1918, the proportion of female wolves in the general population of all southwestem wolves was about 50%. However, after 1918. southwestem cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 37 wolves, there were only 11 females, One theory is that male wolves tend to return sooner than females to their old territories, where their predecessors were exterminated, Do these data Indicate that the population proportion of female wolves is now less than 50% in the regton? Uce =0.01. (a) What is the level of signiicance? state the nul and alternate hypotheses. O Hoi p= 0.5; H:p< 0.5 O Hg: P= 0.5; H,P> 0.5 O Hoi p- 0.5; H:p- 0.5 O Ho: p< 0.5; H,p- 0.5 (b) What sampling distribution will you use? O The Student's t. since no <5 and ng <5. O The standard normal, since np <5 and ng < 5 O The standard normal, since np > 5 and ng > 5. O The Student's t, since np >5 and ng > 5 What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.) Sketch the sampling distribution and show the area corresponding to the P-value us O A 8:31 esc -> @ 23 2$ backspace 8 V
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