AnswersCA-Statistics and Probability BIntroduction to Hypothesis Testing

Introduction to Hypothesis Testing Answers

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1
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What is the appropriate test?

A
z-test for one proportion
B
z-test for two proportions
C
z-confidence interval for one proportion
D
z-confidence interval for two proportions
2
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The P-value of 0.017 is α = 0.05. Therefore, we H0.

A
accept
B
reject
C
fail to reject
3

What is the value of n?

A
10
B
44
C
50
D
75
4

What is the value of the test statistic? | What is the P-value of the test? | Do we have convincing evidence to reject H0?

A
0.159
B
0.55
C
0.62
D
1.41
5

The P-value of 0.017 is α = 0.05. Therefore, we H0.

A
less than
B
greater than
C
equal to
6

The P-value of this test is 0.1586.

A
The P-value of 0.1586 is less than α = 0.05; therefore, we fail to reject H0.
B
The P-value of 0.1586 is less than α = 0.05; therefore, we reject H0.
C
The P-value of 0.1586 is greater than α = 0.05; therefore, we reject H0.
D
The P-value of 0.1586 is greater than α = 0.05; therefore, we fail to reject H0.
7

What is the value of p?

A
0.05
B
0.50
C
0.75
D
0.88
8

Which of the following statements are true? Check all that apply.

A
H0: p = 0.76
B
H0: p = 0.89
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.
9

Which of the following statements are true? Use the z-table and check all that apply.

A
The test statistic is = 0.78.
Option A
B
The test statistic is z = 0.318.
C
The P-value is 0.75.
D
The P-value is 0.375.
E
We fail to reject H0.
F
We reject H0.
10

What is the appropriate test?

A
z-confidence interval for one proportion
B
z-confidence interval for two proportions
C
z-test for one proportion
D
z-test for two proportions
11

What increases the power of a test? Check all that apply.increasing the sample size and significance leveldecreasing the sample size and significance leveltrying to detect a value close to the hypothesized valuetrying to detect a value far from the hypothesized valueincreasing the probability of a Type II errordecreasing the probability of a Type II error

A
increasing the sample size and significance level
B
decreasing the sample size and significance level
C
trying to detect a value close to the hypothesized value
D
trying to detect a value far from the hypothesized value
E
increasing the probability of a Type II error
F
decreasing the probability of a Type II error
12

In this situation, p = the true of all that .

A
mean
B
proportion
C
number
13

What would increase the power of this test? Check all that apply.

A
using n = 200 instead of n = 100
B
using n = 50 instead of n = 100
C
using n = 30 instead of n = 100
D
using α = 0.1 instead of α = 0.01
E
using α = 0.05 instead of α = 0.01
14

In this situation, p = the true of all who .

A
mean
B
proportion
C
number
15

Based upon the 95% confidence interval, is it plausible that p = 0.7, meaning 70% of the employees, will attend the party?

A
Because 0.7 falls within the 95% confidence interval, we reject p = 0.7 as a plausible value for the proportion of all employees who will attend the party.
B
Because 0.7 falls within the 95% confidence interval, p = 0.7 is a plausible value for the proportion of all employees who will attend the party.
C
Because 0.7 falls outside the 95% confidence interval, we reject p = 0.7 as a plausible value for the proportion of all employees who will attend the party.
D
Because 0.7 falls outside the 95% confidence interval, p = 0.7 is a plausible value for the proportion of all employees who will attend the party.
16

What is the value of p?

A
0.05
B
0.45
C
0.55
D
0.62
17

1. H0: p = 0.5, Ha: p > 0.5

A
one-sided (upper)
B
one-sided (lower)
C
two-sided
18

If the true proportion of people in the US who have blue eyes is p = , there is a probability of that we will find convincing evidence for Ha: p > .

A
0.10
B
0.15
C
0.31
19

What is the value of ?

A
0.05
B
0.50
C
0.75
D
0.88
20

What is the value of the test statistic? | What is the P-value of the test? | Do we have convincing evidence to reject H0?

A
0.05
B
0.159
C
0.55
D
0.62

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