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