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

According to the situation described, the appropriate set of hypotheses for her significance test is given by:

.

.

At the null hypothesis, it is tested if the proportion is still of 42%, that is:

.

At the alternative hypothesis, it is tested if the proportion is now lower, that is:

.

Hence, the the appropriate set of hypotheses for her significance test is given by:

.

.

More can be learned about an hypothesis test at

The total nom of  code that can be used is equal to 5+3 = 8

The answer is in the image 

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The solution is given in the image below

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Let the father's age be x and son's be y

10 years before-

Father age=x-10

sons age=y-10

Given,

x-10=10(y-10)

x-10=10y-100

Given present age of father=40

therefore,

x=40

40-10=10y-100

10y-100=30

10y=130

y=130/10

y=13

Therefore present age of son=13years

Cost of 6 gallons =$15

Cost of 1 gallon =15/6

                           =$2.5

Cost of 7 gallons=$2.5 * 7

                           =$17.5