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Consider the following hypotheses: H 0 : p 0.51 H A : p < 0.51 Compute the p -value based on the following sample information.

Consider the following hypotheses:

H0:p 0.51

HA:p< 0.51

Compute thep-value based on the following sample information.(You may find it useful to reference the appropriate table:z tableort table)(Round "z" value to 2 decimal places.Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)

p-value

a. x= 47;n= 112

b. x= 124;n= 326

c. p= 0.46;n= 56

d. p= 0.46;n= 446

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