1 1 State the appropriate null and alternative hypotheses that should be tested March Madness A search of "March Madness" on Wikipedia yields the basketball reference, and also the following: "The main part of the breeding season of the European hare. "The European hare, also known as the brown hare, is a species of hare native to Europe and western Asia. It is a mammal adapted to temperate, open country. It is related to and looks very similar to the European rabbit, which is in the same family but in a different genus. Hares are larger than the European rabbit have longer ears and hind legs and breed on the ground rather than in a burrow It is conjectured that the proportion of all hares and rabbits found in Europe that are European hares is 0.60. Since European hares are larger than rabbits with longer legs, they are faster and can escape predators more easily. Therefore, the belief is that the proportion of all hares and rabbits found in Europe that are European hares is actually greater than 0.60. Ho 60 versus H60 O HP har 60 versus H hat > 60 H.60 versus H: 60 H160 versus H60 2 4 A simple random sample of 80 hares and rabbits found in Europe is selected, and 54 of these 80 hares and rabbits are European hares. State the two assumptions that must be satished in order to (point March Madness A search of "March Madness' on Wikipedia yields the basketball reference, and also the following: "The main part of the breeding season of the European hare." "The European hare, also known as the brown hare, is a species of hare native to Europe and western Asia. It is a mammal adapted to temperate, open country. It is related to and looks very similar to the European rabbit, which is in the same family but in a different genus. Hares are larger than the European rabbit, have longer ears and hind legs and breed on the ground rather than in a burrow 2 A simple random sample of 80 hares and rabbits found in Europe is selected, and 54 of these 80 hares and rabbits are European hares. State the two assumptions that must be satisfied in order to complete this hypothesis test, and determine whether they are satisfied or not in this situation 1 3 OOO It is conjectured that the proportion of all hares and rabbits found in Europe that are European hares is 0.60. Since European hares are larger than rabbits with longer legs, they are faster and can escape predators more easily. Therefore, the belief is that the proportion of all hares and rabbits found in Europe that are European hares is actually greater than 0.60. Large enough sample size for the Central Limit Theorem to apply O We have a simple random sample but the sample is not large enough We have a simple random sample, and both nr = 80.60) - 48 and n(1-1) 80( 150) = 32 are > 10. Large enough sample size for the Central Lime Them to apply O We do not have ple random sample. 5 We do not have a simple random sample. 3 1 point 2 March Madness A search of "March Madness" on Wikipedia yields the basketball reference, and also the following: 'The main part of the breeding season of the European hare." The European hare, also known as the brown hare, is a species of hare native to Europe and western Asia. It is a mammal adapted to temperate, open country. It is related to and looks very similar to the European rabbit, which is in the same family but in a different genus. Hares are larger than the European rabbit, have longer ears and hind legs and breed on the ground rather than in a burrow It is conjectured that the proportion of all hares and rabbits found in Europe that are European hares is 0.60. Since European hares are larger than rabbits with longer legs, they are faster and can escape predators more easily. Therefore, the belief is that the proportion of all hares and rabbits found in Europe that are European hares is actually creater than 0.60 Choose the correct Tost Statistic to test the hypothesis stated in question 1 using the information given in question 2. 02-5.02 25.02 24-137 2-17 3 4 Z= -1.37 Z-137 March Madness A search of March Madness" on Wikipedia yields the basketball reference, and also the following: "The main part of the breeding season of the European hare." "The European hare, also known as the brown hare, is a species of hare native to Europe and western Asia. It is a mammal adapted to temperate, open country. It is related to and looks very similar to the European rabbit, which is in the same family but in a different genus. Hares are larger than the European rabbit have longer ears and hind legs and breed on the ground rather than in a burrow 1 2 I polnt Choose the correct decision to test the hypotheses stated in question 1 at the a05 level of significance. O p-value - 9999, Since pvalue > .05 we fail to roject H, O p-value - 9999, Since p-value > .05 we reject H, D-value - 0855. Since p-value > .05 we fail to reject H p-value - 0855. Since p-value > .05 we reject H 3 4 It is conjectured that the proportion of all hares and rabbits found in Europe that are European hares is 0.60. Since European hares are larger than rabbits with longer legs, they are faster and can escape predators more easily. Therefore, the belief is that the proportion of all hares and rabbits found in Europe that are European haresis TY m is 5 1 point Choose the appropriate conclusion based on your decision in question 4. O There is sufficient evidence that the proportion of all hares and rabbits found in Europe that are European hares is greater than 60. O There is insufficient evidence that the proportion of all hares and rabbits found in Europe that are European hares is less than.60. O There is insufficient evidence that the proportion of all hares and rabbits found in Europe that are European hares is greater than .60. O There is insufficient evidence that the proportion of all hares and rabbits found in Europe that are European hares is different from.60. 1 1 State the appropriate null and alternative hypotheses that should be tested March Madness A search of "March Madness" on Wikipedia yields the basketball reference, and also the following: "The main part of the breeding season of the European hare. "The European hare, also known as the brown hare, is a species of hare native to Europe and western Asia. It is a mammal adapted to temperate, open country. It is related to and looks very similar to the European rabbit, which is in the same family but in a different genus. Hares are larger than the European rabbit have longer ears and hind legs and breed on the ground rather than in a burrow It is conjectured that the proportion of all hares and rabbits found in Europe that are European hares is 0.60. Since European hares are larger than rabbits with longer legs, they are faster and can escape predators more easily. Therefore, the belief is that the proportion of all hares and rabbits found in Europe that are European hares is actually greater than 0.60. Ho 60 versus H60 O HP har 60 versus H hat > 60 H.60 versus H: 60 H160 versus H60 2 4 A simple random sample of 80 hares and rabbits found in Europe is selected, and 54 of these 80 hares and rabbits are European hares. State the two assumptions that must be satished in order to (point March Madness A search of "March Madness' on Wikipedia yields the basketball reference, and also the following: "The main part of the breeding season of the European hare." "The European hare, also known as the brown hare, is a species of hare native to Europe and western Asia. It is a mammal adapted to temperate, open country. It is related to and looks very similar to the European rabbit, which is in the same family but in a different genus. Hares are larger than the European rabbit, have longer ears and hind legs and breed on the ground rather than in a burrow 2 A simple random sample of 80 hares and rabbits found in Europe is selected, and 54 of these 80 hares and rabbits are European hares. State the two assumptions that must be satisfied in order to complete this hypothesis test, and determine whether they are satisfied or not in this situation 1 3 OOO It is conjectured that the proportion of all hares and rabbits found in Europe that are European hares is 0.60. Since European hares are larger than rabbits with longer legs, they are faster and can escape predators more easily. Therefore, the belief is that the proportion of all hares and rabbits found in Europe that are European hares is actually greater than 0.60. Large enough sample size for the Central Limit Theorem to apply O We have a simple random sample but the sample is not large enough We have a simple random sample, and both nr = 80.60) - 48 and n(1-1) 80( 150) = 32 are > 10. Large enough sample size for the Central Lime Them to apply O We do not have ple random sample. 5 We do not have a simple random sample. 3 1 point 2 March Madness A search of "March Madness" on Wikipedia yields the basketball reference, and also the following: 'The main part of the breeding season of the European hare." The European hare, also known as the brown hare, is a species of hare native to Europe and western Asia. It is a mammal adapted to temperate, open country. It is related to and looks very similar to the European rabbit, which is in the same family but in a different genus. Hares are larger than the European rabbit, have longer ears and hind legs and breed on the ground rather than in a burrow It is conjectured that the proportion of all hares and rabbits found in Europe that are European hares is 0.60. Since European hares are larger than rabbits with longer legs, they are faster and can escape predators more easily. Therefore, the belief is that the proportion of all hares and rabbits found in Europe that are European hares is actually creater than 0.60 Choose the correct Tost Statistic to test the hypothesis stated in question 1 using the information given in question 2. 02-5.02 25.02 24-137 2-17 3 4 Z= -1.37 Z-137 March Madness A search of March Madness" on Wikipedia yields the basketball reference, and also the following: "The main part of the breeding season of the European hare." "The European hare, also known as the brown hare, is a species of hare native to Europe and western Asia. It is a mammal adapted to temperate, open country. It is related to and looks very similar to the European rabbit, which is in the same family but in a different genus. Hares are larger than the European rabbit have longer ears and hind legs and breed on the ground rather than in a burrow 1 2 I polnt Choose the correct decision to test the hypotheses stated in question 1 at the a05 level of significance. O p-value - 9999, Since pvalue > .05 we fail to roject H, O p-value - 9999, Since p-value > .05 we reject H, D-value - 0855. Since p-value > .05 we fail to reject H p-value - 0855. Since p-value > .05 we reject H 3 4 It is conjectured that the proportion of all hares and rabbits found in Europe that are European hares is 0.60. Since European hares are larger than rabbits with longer legs, they are faster and can escape predators more easily. Therefore, the belief is that the proportion of all hares and rabbits found in Europe that are European haresis TY m is 5 1 point Choose the appropriate conclusion based on your decision in question 4. O There is sufficient evidence that the proportion of all hares and rabbits found in Europe that are European hares is greater than 60. O There is insufficient evidence that the proportion of all hares and rabbits found in Europe that are European hares is less than.60. O There is insufficient evidence that the proportion of all hares and rabbits found in Europe that are European hares is greater than .60. O There is insufficient evidence that the proportion of all hares and rabbits found in Europe that are European hares is different from.60