According to the Pew Research Center, 14% of adults rate basketball as their favorite sport. Your boss believes the proportion may be lower among adults over age 65 and wants you to collect evidence to see if this is true. You take a survey of adults over age 65, and only 10 out of 120 of them rate basketball as their favorite sport. You would like to set α-0.05. What is the critical value? a. 1.645
b. -1.833
c. -1.960
d. -2.262

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.