Testing a Claim about a Population Proportion Answers

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Complete the "State” and "Plan” steps. Which statements are true? Check all that apply.

A
H0: p = 0.15
B
Ha: p < 0.15
C
The random condition is met.
D
The 10% condition is met.
E
The large counts condition is met.
F
The test is a z-test for one proportion.
3

0.190.970.98✔ 1.31

A
0.19
B
0.97
C
0.98
D
✔ 1.31
4

✔ 0.190.970.981.31

A
✔ 0.19
B
0.97
C
0.98
D
1.31
5

reject✔ fail to reject

A
reject
B
✔ fail to reject
165667

Complete the “State” step for this test. H0: p = Ha: p where p = the true proportion of all that .

Answers:
Selection 1:0.97
Selection 2:is different from
Selection 3:0.97
Selection 4:households
Selection 5:purchase toilet paper
165668

equalsis greater thanis less than✔ is different from

A
equals
B
is greater than
C
is less than
D
✔ is different from
165669

0.050.50✔ 0.970.98

A
0.05
B
0.50
C
✔ 0.97
D
0.98
165670

studentsadults✔ householdsshoppers

A
students
B
adults
C
✔ households
D
shoppers
165671

go shopping✔ purchase toilet paperwere selected

A
go shopping
B
✔ purchase toilet paper
C
were selected
165707

The power of this test to reject p = 0.97 if 0.98 is true is 0.21. Interpret the power of this test.

Answers:
If the true proportion of households that purchase toilet paper is p = , there is a probability that we will find convincing evidence for Ha: p > .:0.97
If the true proportion of households that purchase toilet paper is p = , there is a probability that we will find convincing evidence for Ha: p > .:0.21
If the true proportion of households that purchase toilet paper is p = , there is a probability that we will find convincing evidence for Ha: p > .:0.97
165709

0.050.21✔ 0.970.98

A
0.05
B
0.21
C
0.97
D
0.98

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