A large poll showed that 42%, percent of adults approved of their nation's prime minister. Margot wants to test if it is now lower, so she takes a random sample of 1,000 adults in that nation and finds that 390—or 39% percent of those sampled—approved of the prime minister. Let p represent the proportion of adults in this nation who approve of the prime minister.

Which of the following is an appropriate set of hypotheses for her significance test?

Choose 1

(Choice A)
A
\begin{aligned} &H_0: p = 0.39 \\ &H_\text{a}: p < 0.39 \end{aligned}


H
0

:p=0.39
H
a

:p<0.39


(Choice B)
B
\begin{aligned} &H_0: p = 0.39 \\ &H_\text{a}: p < 0.42 \end{aligned}


H
0

:p=0.39
H
a

:p<0.42


(Choice C)
C
\begin{aligned} &H_0: p = 0.42 \\ &H_\text{a}: p < 0.39 \end{aligned}


H
0

:p=0.42
H
a

:p<0.39


(Choice D)
D
\begin{aligned} &H_0: p = 0.42 \\ &H_\text{a}: p < 0.42 \end{aligned}


H
0

:p=0.42
H
a

:p<0.42