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I need help with these five multipe choice question thanks! 1. Which one of the

ID: 3242098 • Letter: I

Question

I need help with these five multipe choice question thanks!

1. Which one of the following is least likely to have occurred by chance, i.e., has resulted from sampling error?

a. z= -3.1

b. z= 0.0

c. z= 2.0

d. z=2.58

2.  To reject Ho , which one of the following significance levels requires the largest difference between (^) and Ho ?

a. =.01

b. =.05

c. =.10

d. no choice is correct

3.  Which of these can be properly regarded as a statistical hypothesis?

a. (^)=63.0

b. =1.2

c. z=1.9

d. no choice is correct

4. If z=2.0, we can reject Ho?

a. at both  =.01 and  .05

b. at  .05 but not at  .01

c. at neither  .01 nor  .05

d. no answer choice is correct

5. If Ho is true but has been rejected, what type of error has been made

a. type I error

b. type II error

c. no error

d. no answer choice is correct

Explanation / Answer

1) Answer: a. z= -3.1

The farthest z value from 0(either positive or negative direction), as this will give the smallest probability and is least likely to happen.

2) Answer: a. =.01

This gives least rejection area, and therefore will require the largest difference for the null hypothesis to be rejected.

3) Answer: b. =1.2

Hypothesis is always based on population parameters. Not sample statistics or z scores.

4) Answer: b. at  .05 but not at  .01

For z = 2, p-value(for 2 sided) = 0.0455, This value is lower than 0.05 but greater than 0.01.

5) Answer: a. type I error