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- Use the change of quantifier rule together with the eighteen rules of inference to derive the conclusions of the following symbolized argument. Do not use either conditional proof or indirect proof.Suppose that people were asked "would you leave your current job to make more money at a new job?", and the following table with the responses to the question as well as the generation that the subject belonged to was constructed: "Leave Job for More Money" "Baby Boomer" "Millenial" Yes 115 175 No 165 185 If a Test of Independence is performed on this table to determine if "Generation" and "Willingness to Leave a Job for More Money" are independent of each other, then calculate the value of the Test Statistic (TS) that you would get when running this hypothesis test. Round off your answer to the third decimal place: The TS in this problem, rounded off as instructed, is:Please correctly state H0 and Ha. The options for the claim is the ___hypothesis is either “null” or “alternative” Part D options are) First part “reject” or “fail to reject” and the last part is “is” or “is not” Part E) First part “is” or “is not”, second part “support” or “reject”, and the last part’s options are “Less than equal”, “less than”, “equal”, “not equal”, “greater than or equal”, and “greater than”
- Rewrite the following statement in conditional form (if-then or if-and -only-if form): This loop will repeat exactly N times if it does not contain a stop or a go to. I am on time for work if I catch the 8 o'clock bus. You can see the wizard only if the wizard is not in the bottle, and the wizard is not in the bottleonly if you can see him.Part II: Use 8 inference rules and 10 replacement rules (D.N., C.E., B.E., DeM. Dup., Assoc., Commu. Dist., Contrap. Export.) to prove the following arguments. You are NOT allowed to use C.P. or I.P. e) 1. X=T 2. ((QxT =R) =(XvW) 3. RD(XvT) 4. -(TvW) 1:QIn AABC, m LA:m LB:m LC = 2:5:5. m LB = (A) 75 (B) 60 (C) 30 (D) 40 (E) 100
- Exercise 2.61. In each of the following conditional sentences, identify the hypothesis and the conclusion. (a) Numbers a, b and c are the sides of a right triangle, provided a² + b² = c². (b) The roads are slippery, because it is snowing.Determine whether the claim stated below represents the null hypothesis or the alternative hypothesis. If a hypothesis test is performed, how should you interpret a decision that (a) rejects the null hypothesis or (b) fails to reject the null hypothesis? A researcher claims that at least 82% of people had at least one health care visit in the past year. Does the claim represent the null hypothesis or the alternative hypothesis? Since the claim does not contain a statement of equality, it represents the hypothesis. (a) How should you interpret a decision that rejects the null hypothesis? There is evidence to V the claim that at least 82% of people had at least one health care visit in the past year. (b) How should you interpret a decision that fails to reject the null hypothesis? There is evidence to V the claim that at least 82% of people had at least one health care visit in the past year.Suppose that BC financial aid alots a textbook stipend by claiming that the average textbook at BC bookstore costs $ 68.85. You want to test this claim.The null and alternative hypothesis in symbols would be: H0:p≥68.85H1:p<68.85 H0:p≤68.85H1:p>68.85 H0:μ=68.85H1:μ≠68.85 H0:μ≤68.85H1:μ>68.85 H0:p=68.85H1:p≠68.85 H0:μ≥68.85H1:μ<68.85 The null hypothesis in words would be: The average of price of all textbooks from the store is less than $$ 68.85. The average of price of all textbooks from the store is greater than $$ 68.85. The average price of textbooks in a sample is $$ 68.85 The proportion of all textbooks from the store that are less than 68.85 is equal to 50% The average price of all textbooks from the store is $$ 68.85 Based on a sample of 90 textbooks at the store, you find an average of 67.05 and a standard deviation of 15.6.The point estimate is: (to 3 decimals)The 95 % confidence interval (use z*) is: ______ to _____(to 3…
- Less than 52% of people support legalizing gay marriage. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage).H0:p�0:� H1:p�1:� Use the following codes to enter the following symbols: ≥≥ enter >= ≤≤ enter <= ≠≠ enter !=For each statement, express the null hypothesis ?0 and alternative hypothesis ?1 in symbolic form. More than one-half of all Internet users make on-line purchases. A. ?0:?≥0.5, ?1:?<0.5 B. ?0:?≥0.5, ?1:?<0.5 C. ?0:?≤0.5, ?1:?>0.5D. ?0:?≤0.5, ?1:?>0.5For each statement, express the null hypothesis ?0H0 and alternative hypothesis ?1H1 in symbolic form. More than one-half of all Internet users make on-line purchases. A. ?0:?≥0.5,H0:μ≥0.5, ?1:?<0.5H1:μ<0.5 B. ?0:?≥0.5,H0:p≥0.5, ?1:?<0.5H1:p<0.5 C. ?0:?≤0.5,H0:μ≤0.5, ?1:?>0.5H1:μ>0.5 D. ?0:?≤0.5,H0:p≤0.5, ?1:?>0.5H1:p>0.5