Question

Polydactyl cats are cats with extra toes. A researcher believes that the proportion of the population of polydactyl cats in region A is greater than the proportion in region B. Let pB represent the population proportion of polydactyl cats in region A, and let pB represent the population proportion of polydactyl cats in region B. Which of the following are the appropriate hypotheses to test the researchers belief?

A. H0 : PA - PB = 0
Ha : PA is not equal to 0.
B. H0 : PA - PB = 0
Ha : PA - P > = 0
C. H0 : PA - PB = 0
Ha : PA - 0 < 0
D. H0 : P^a - P^b = 0
Ha : P^a - P^b is not equal to 0
E. H0 : P^a - P^b = 0
Ha : P^a - P^b > = 0

Answer 1

The appropriate hypotheses to test the researcher's belief are H0: pA - pB = 0 and Ha: pA - pB > 0.

Step-by-step explanation:

To test the researcher's belief that the proportion of polydactyl cats in region A is greater than the proportion in region B, the appropriate hypotheses are:

1. H0: pA - pB = 0
2. Ha: pA - pB > 0

These hypotheses state that the null hypothesis (H0) is that the difference in proportions between region A and region B is equal to zero, and the alternative hypothesis (Ha) is that the difference in proportions is greater than zero.

Answer 2

The answer is "Option B".

Step-by-step explanation:

The null hypothesis relates to either the initial reality in which no significant statistically meaningful evidence stays; else the equal variances which would be the reverse of the zero become preferred rather than the zero. From the above case, that scientist claimed that 'the proportion of main coon cats' community in region A surpassed these in region B.' The alternate theory is Ha: PA - PB > = 0 whereas the Null is from the idea that Polydactyl cats were the same as in areas A and B.