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The following is based on information from The Wolf in the Southwest: The Making of an Endangered Species, by David E. Brown (University of Arizona Press). Before 1918, the proportion of female wolves in the general population of all southwestern 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 territories, where their predecessors were exterminated. Do these data indicate that the population proportion of female wolves is now less than 50% in the region? Use α = 0.01.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
Find the P-value of the test statistic. (Round your answer to four decimal places.)
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- A research wants to determine if pre-natal exposure to the hormones in birth control pills alters the sex makeup of midshipman fish populations (which are typically half male and half female).Specifically, the researcher wishes to test the hypothesis that exposure to hormones will increase the number of females in the population.The researcher exposes a group of pregnant midshipman fish to birth control hormones and records the sex of the first 18 offspring birthed.They then observe that 10 are female.Use a sign test to test the indicated hypothesis.What is the value of "significance"arrow_forwardA research wants to determine if pre-natal exposure to the hormones in birth control pills alters the sex makeup of midshipman fish populations (which are typically half male and half female).Specifically, the researcher wishes to test the hypothesis that exposure to hormones will increase the number of females in the population.The researcher exposes a group of pregnant midshipman fish to birth control hormones and records the sex of the first 19 offspring birthed.They then observe that 13 are female.Use a sign test to test the indicated hypothesis.What is the obtained value?arrow_forward9. In 2016 an online poll was conducted regarding the results of the 2016 NBA All-Star Dunk Contest. The poll asked 100,000 people, "Who [do you think] won the dunk contest?". The results are shown in the relative frequency table below Response Percentage Aaron Gordon 55% Zach Lavine 45%arrow_forward
- Another type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in the Wind Mountain archaeological region, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III Site IV 15 13 38 15 22 2 20 21 4 31 15 13 15 7 44 34 17 23 12 11 12 Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites? Use a 5% level of significance. (a) What is the level of significance? (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 3 decimal places for MSBET, and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Use 3 decimal places.)What are the degrees of freedom??(numerator)?(denominator)(c) Find the P-value of the sample…arrow_forwardThe following is based on information from The Wolf in the Southwest: The Making of an Endangered Species, by David E. Brown (University of Arizona Press). Before 1918, the proportion of female wolves in the general population of all southwestern 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 territories, where their predecessors were exterminated. Do these data indicate that the population proportion of female wolves is now less than 50% in the region? Use α = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P 0.5 O Ho: P = 0.5; H₁: p 5 and nq > 5. O The Student's t, since np > 5 and ng > 5. The standard normal, since np < 5 and nq < 5. O The Student's t, since np < 5 and nq < 5. What is the value of the sample test statistic? (Round…arrow_forwardquestion 11arrow_forward
- 1. EA Sports is interested in how much money, on average, their customers spend on in- game items. Using their records, they draw a sample of 10,000 customers and calculate each customer's average spending on in-game items. A. Identify the population, sample, parameter, statistic, variable, and data for this example. Population Sample I. II. III. parameterarrow_forwardAnother type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in an archaeological region, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III Site IV 12 16 33 13 28 2 15 19 5 38 15 19 17 8 40 36 15 22 14 19 14 Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites? Use a 5% level of significance. (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Use 3 decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Use 3 decimal places for MSBET, and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Use 3 decimal places.)What are the degrees of freedom? (numerator) (denominator) (f) Make a summary table for your ANOVA test.…arrow_forwardThe table below shows the auto insurance quotes for two leading companies for a sample of 15 families. Assume the populations SDs are similar, but unknown. The President of the American Insurance Institute wants to compare the yearly costs of such insurance offered by the two companies. At the 0.10 level of significance, can we conclude that there is a difference in the amounts quoted? Families Southern Car American Mutual ($) ($) 1 2090 1610 2 1683 1247 3 1402 2327 4 1830 1367 5 930 1461 6 697 1789 7 1741 1621 8 1129 1914 9 1018 1956 10 1881 1772 11 1571 1375 12 874 1527 13 1579 1767 14 1577 1636 15 860 1188arrow_forward
- A research wants to determine if pre-natal exposure to the hormones in birth control pills alters the sex makeup of midshipman fish populations (which are typically half male and half female).Specifically, the researcher wishes to test the hypothesis that exposure to hormones will increase the number of females in the population.The researcher exposes a group of pregnant midshipman fish to birth control hormones and records the sex of the first 13 offspring birthed.They then observe that 11 are female.Use a sign test and a alpha of .05 to test the indicated hypothesis.What is the critical value?arrow_forwardA breeder of golden retriever dogs has kept records on litter size for several years. They want to know if litter size is dependent on parent age. Age of Sire 9.0 7.0 6.5 4.3 5.0 4.1 3.7 8.0 7.0 4.1 4.5 7.0 6.0 Age of Dam 2.0 2.5 4.0 3.3 6.0 5.0 4.5 4.1 8.2 2.4 2.9 3.7 4.0 Litter Size 11 10 9 12 5 9 9 8 7 10 12 10 9 b. Perform a regression analysis. Define your hypothesis, state your conclusions, and show all work.arrow_forwardAnother type of painted ceramic vessel is called three-circle red-on-white ( Mimbres Mogollon Archaeology). At four different sites in the Wind Mountain archaeological region, the number of such sherds was counted in local dwelling excavations. Site I Site II Site III Site IV 14 17 32 13 27 2 23 20 6 38 14 11 19 1. 44 33 18 29 16 10 17 Shall we reject or not reject the claim that there is no difference in the population mean three-circle red-on-white sherd counts for the four sites? Use a 10% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H1 = H2 = H3 = H4i H1: Exactly three means are equal. O H.: H1 = H2 = H3 = Hại H,: Not all the means are equal. O H,: H1 = H2 = H3 = Ha; H;: All four means are different. O H.: H1 = H2 = H3 = Hại H: Exactly two means are equal. (b) Find SSTOT SSBET, and SSw and check that SSTOT = SS BET + sSw. (Use 3 decimal places.) SSTOT= SSBET = SSw=l Find d.f. BET, d.f. w, MSBET, and MSw. (Use 3 decimal…arrow_forward
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