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- Under what condition is the interpretation of Pearson's r and Cramer's V the same? a. Pearson's r and Cramer's V are never interpreted in the same way b. when a chi-square analysis is conducted with higher-order data c. when the null hypothesis is rejected d. when dfRC = 1Which of the following hypothesis is appropriate to the given figure?Show that: if A occurs in a larger proportion of cases where B is than where it is not, then B will occur in a larger proportion of cases where A is than where A is not.
- (¬p ∧ q) ∧ (r → p) ∧ (¬r → s) ∧ (s → t) ⇒ t. Use MATLAB to verify the validity of the above inference.In a population of fish, approximately 42% are female. A test is conducted to see if in fact the proportion is less. Which mathematical operator (=,<,>,≠,<\=,>\=) would go in the null hypothesis? And which one would go in the alternate hypothesis?show that if A occurs in a larger proportion of the cases where B is than wgere B is not, then B will occur in a larger proportion of cases where A is than where A is not.
- Let X1, . . . , Xn ∼ iid Unif(θ1, θ2), where both θ1 and θ2 are unknown. Find the MOM estimator and compare them to the MLE.The major of a very small town wants to compare the number of flu cases that she has in her town(a sample) to the number of flu cases nation wide (the population) to see differ. What is the alternative hypothesis for scenario 1? A)Ha:X1 /= X2 B)Ha:X /= u C)Ha: X1/= X2 /= X3 D)Ha: r/= 0Let X1, X2, . . . are independent indicator variables with different probabilities of success. That is, P(Xi = 1) = pi. Define Yn = X1 + X2 + . . . + Xn. Find E(Yn), V ar(Yn) and coefficient of variation of Yn