Question

(1 point)

Type I error is:

**A.** Deciding the null hypothesis is true when it is
false

**B.** Deciding the alternative hypothesis is true
when it is false

**C.** Deciding the null hypothesis is false when it
is true

**D.** Deciding the alternative hypothesis is true
when it is true

**E.** All of the above

**F.** None of the above

Type II error is:

**A.** Deciding the null hypothesis is false when
it is true

**B.** Deciding the alternative hypothesis is true
when it is true

**C.** Deciding the alternative hypothesis is false
when it is true

**D.** Deciding the null hypothesis is true when it is
false

**E.** All of the above

**F.** None of the above

Select True or False from each pull-down menu, depending on whether the corresponding statement is true or false.

? True False
**1.** A two-tail test is a test in which
a null hypothesis can be rejected by an extreme result occurring in
only one direction.

? True False
**2.** The probability of a Type I error
is represented by ββ, and is the probability of failing to reject a
false null hypothesis.

? True False
**3.** A one-tail pp-value is twice the
size of a two-tail test.

? True False
**4.** The power of a test is the
probability that a true null hypothesis will be rejected.

(2 points) The hypothesis test

H0:μ=33H1:μ≠33H0:μ=33H1:μ≠33

is to be carried out. A random sample is selected, and yields
x¯=36x¯=36 and s = 5. If the value of the t statistic is
t=3.49857113690718t=3.49857113690718, what is the sample size? (If
rounding is required, round to the nearest integer.)

Sample Size

Answer #1

Ans:

1)Type I error is:

**Deciding the null hypothesis is false when it is
true.**

2)Type II error is:

**Deciding the null hypothesis is true when it is
false.**

3)

A two-tail test is a test in which a null hypothesis can be
rejected by an extreme result occurring in only one
direction.**(False)**

The probability of a Type I error is represented by β, and is
the probability of failing to reject a false null
hypothesis.**(False)**

A one-tail p-value is twice the size of a two-tail
test.**(False)**

The power of a test is the probability that a true null
hypothesis will be rejected.**(False)**

4)

t=3.49857=(36-33)/(5/sqrt(n))

3.49857=3/(5/sqrt(n))

3.49857=0.6*sqrt(n)

sqrt(n)=3.49857/0.6=5.83

n**=34**

Type I error is:
A. Deciding the alternative hypothesis is true
when it is false
B. Deciding the alternative hypothesis is true
when it is true
C. Deciding the null hypothesis is true when it is
false
D. Deciding the null hypothesis is false when it
is true
E. All of the above
F. None of the above
Type II error is:
A. Deciding the null hypothesis is false when it
is true
B. Deciding the null hypothesis is true...

1. A null hypothesis states that there is
A. No significant difference between a population parameter and
sample statistic.
B. A significant difference between a population parameter and
sample statistic.
C. The difference between the population parameter and sample
statistic is significant and can be attributed to sampling
error.
D. The difference between the population parameter and sample
statistic is insignificant and cannot be attributed to sampling
error.
E. None of the above
2. An alternative hypothesis states that there...

1.Type 1 error is...
a.Correctly rejecting the null hypothesis.
b.Rejecting the null hypothesis when it’s actually true.
c.Correctly failing to reject the null hypothesis.
d.Failing to reject the null hypothesis when it’s actually
false.
2.Power is defined as the probability of...
a.Correctly rejecting the null hypothesis.
b.Correctly failing to reject the null hypothesis.
c.Failing to reject the null hypothesis when it’s actually
false.
d.Rejecting the null hypothesis when it’s actually true.
3. From Study Example 1: Based on the sample,...

The primary purpose of hypothesis testing is to attempt to
reject the null hypothesis not to accept the alternative
hypothesis.
True
False
In hypothesis testing, a Type 1 error is
failing to reject the null hypothesis when it is true.
failing to reject the null hypothesis when it is false.
rejecting the null hypothesis when it is true.
rejecting the null hypothesis when it is false.
In general, the power of a statistical test is the probability
that a test...

(Please show explanations for study
purposes)
A Type I error occurs when:
The alternative hypothesis is true, and the null hypothesis is
rejected.
The alternative hypothesis is false, and the null hypothesis is
rejected.
The alternative hypothesis is true, and the null hypothesis is
accepted.
The alternative hypothesis is false, and the null hypothesis is
accepted.

A Type II error is committed when
Question 7 options:
a)
a true alternative hypothesis is mistakenly rejected
b)
a true null hypothesis is mistakenly rejected
c)
the sample size has been too small
d)
not enough information has been available

1. Which statement is incorrect?
A. The null hypothesis contains the equality sign
B. When a false null hypothesis is not rejected, a Type II error
has occurred
C. If the null hypothesis is rejected, it is concluded that the
alternative hypothesis is true
D. If we reject the null hypothesis, we cannot commit Type I
error
2. When carrying out a large sample test of H0: μ ≤ 10
vs. Ha: μ > 10 by using a critical value...

The probability of committing a Type I error when the null
hypothesis is true as an equality is
a. The confidence level
b. p
c. Greater than 1
d. The level of significance

9. A Type I error
occurs when we accept a false null hypothesis. true or false

1. In testing a null hypothesis H0 versus an alternative Ha, H0
is ALWAYS rejected if
A. at least one sample observation falls in the non-rejection
region.
B. the test statistic value is less than the critical value.
C. p-value ≥ α where α is the level of significance. 1
D. p-value < α where α is the level of significance.
2. In testing a null hypothesis H0 : µ = 0 vs H0 : µ > 0,
suppose Z...

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