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Suppose a recent survey found that $74\%$ of dog owners say their pet appears cheerful, while only $59\%$ of cat owners say their pet appears cheerful.

If one wants to perform a test to see if these two proportions are significantly different, what would the null and alternative hypotheses be?

A

$H_o: p = 59$

$H_a: p > 0.59$

B

$H_o: p = 0.59$

$H_a: p = 0.74$

C

$H_o: { P }_{ d }= { P }_{ c }$

$H_a: { P }_{ d }≠ { P }_{ c }$

D

$H_o: { P }_{ d }= { P }_{ c }$

$H_a: { P }_{ d }>{ P }_{ c }$

E

$H_o:{ P }_{ d }= 0.74$

$H_a:{ P }_{ c }= 0.59$

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