Question

5. The test statistic of z=2.31 is obtained when testing the claim that p>0.3.

a. This is a (two-tailed, right-tailed, left-tailed) test.

b.​ P-value=_____

​(Round to three decimal places as​ needed.)

Choose the correct conclusion below.

A.Reject Ho. There is sufficient evidence to support the claim that p>0.3.

B.Reject Ho. There is not sufficient evidence to support the claim that p>0.3.

C.Fail to reject Ho. There is sufficient evidence to support the claim that p>0.3.

D.Fail to reject Ho. There is not sufficient evidence to support the claim that p>0.3

6. The test statistic of z=- 2.58 is obtained when testing the claim that P=3/5.

a. The critical​ value(s) is/are z=______

​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.)

b. Choose the correct conclusion below.

A.Reject Ho. There is not sufficient evidence to warrant rejection of the claim that P=3/5

B.Reject Ho. There is sufficient evidence to warrant rejection of the claim that P=3/5

C.Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that P=3/5

D.Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that P=3/5

Answer 1

Solution:

Question 5)

Given:  The test statistic of z=2.31 is obtained when testing the claim that p>0.3.

Part a. This is a right-tailed test

Since claim is right tailed ( > )

Part b) ​ P-value:

​ P-value= P( Z> z )

​ P-value= P( Z> 2.31)

​ P-value= 1 - P( Z < 2.31)

Look in z table for z = 2.3 and 0.01 and find corresponding area.

P( Z< 2.31) = 0.9896

thus

​ P-value= 1 - P( Z < 2.31)

​ P-value= 1 - 0.9896

​ P-value= 0.0104

​ P-value= 0.010

conclusion:

Since ​ P-value= 0.010 < 0.05 level of significance, we reject H0.

thus

A.Reject Ho. There is sufficient evidence to support the claim that p >0.3.

Question 6)

Given: The test statistic of z=- 2.58 is obtained when testing the claim that P=3/5.

Part a. The critical​ value(s) is/are z=.......?

Since claim is non-directional , this is two tailed test

thus find

Look in z table for area = 0.0250 or its closest area and find z value

Area 0.0250 corresponds to -1.9 and 0.06

thus z critical value = -1.96

Since this is two tailed test, we have two z critical values: ( -1.96 , 1.96)

Part b) conclusion:

Since z = -2.58 < z critical value = -1.96 , we reject H0.

B.Reject Ho. There is sufficient evidence to warrant rejection of the claim that P=3/5