Math 136 - Introduction to Statistics » Fall 2021 » Homework 13 HYPOTHESIS TESTING TESTING ONE POPULATION PROPORTION
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Question #1
A manufacturer considers his production process to be out of control when defects exceed 3%. In a random sample of 85 items, the defect rate is 5.9% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 0.01 level of significance, test the manager's claim. Find the claim for the question above
A.
H0: p = 0.03, H1: p ≠ 0.03
B.
H0: p ≥ 0.03, H1: p < 0.03
C.
H0: p = 0.03, H1: p > 0.03
D.
H0: p ≠ 0.03, H1: p = 0.03
Question #2
A manufacturer considers his production process to be out of control when defects exceed 3%. In a random sample of 85 items, the defect rate is 5.9% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 0.01 level of significance, test the manager's claim. Find the critical value for the question above
A.
z =1.96
B.
z = 2.33
C.
z = 1.96
D.
z = -2.33
Question #3
A manufacturer considers his production process to be out of control when defects exceed 3%. In a random sample of 85 items, the defect rate is 5.9% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 0.01 level of significance, test the manager's claim. Find the test statistics for the question above
A.
3.37
B.
4.37
C.
1.57
D.
2.37
Question #4
A manufacturer considers his production process to be out of control when defects exceed 3%. In a random sample of 85 items, the defect rate is 5.9% but the manager claims that this is only a sample fluctuation and production is not really out of control. At the 0.01 level of significance, test the manager's claim. Select the conclusion for the question above
A.
Fail to reject Ho
B.
Reject Ho
Question #5
A poll of 1068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.05 level of significance, test the claim that at least half of all voters prefer the Democrat. Find the claim for the question above
A.
H0: p ≠ 0.5, H1: p < 0.5
B.
H0: p ≠ 0.5, H1: p = 0.5
C.
H0: p = 0.5, H1: p < 0.5
D.
H0: p = 0.5, H1: p > 0.5
Question #6
A poll of 1068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.05 level of significance, test the claim that at least half of all voters prefer the Democrat. Find the critical value for the question above
A.
z = ±1.456
B.
z = ±1.645
C.
z = 1.645
D.
z = -1.645
Question #7
A poll of 1068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.05 level of significance, test the claim that at least half of all voters prefer the Democrat. Find the test statistics for the question above
A.
-2.31
B.
2.31
C.
1.31
D.
-1.29
Question #8
A poll of 1068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.05 level of significance, test the claim that at least half of all voters prefer the Democrat. Select the conclusion for the question above
A.
Reject Ho
B.
Fail to reject Ho
Question #9
An article in a journal reports that 34% of American fathers take no responsibility for child care. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 234 fathers from Littleton yielded 96 who did not help with child care. Test the researcher's claim at the 0.05 significance level. Find the claim for the question above
A.
H0: P=0.34 , H1 : P >0.34
B.
H0: P≠0.34 H1: P=0.34
C.
H0: P ≥ 0.34 H1: P < 0.34
D.
H0: P=0.34 , H1: P≠ 0.34
Question #10
An article in a journal reports that 34% of American fathers take no responsibility for child care. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 234 fathers from Littleton yielded 96 who did not help with child care. Test the researcher's claim at the 0.05 significance level. Find the critical value for the question above
A.
Z=1.645
B.
Z=±1.645
C.
Z=-1.645
D.
Z=±1.964
Question #11
An article in a journal reports that 34% of American fathers take no responsibility for child care. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 234 fathers from Littleton yielded 96 who did not help with child care. Test the researcher's claim at the 0.05 significance level. Find the test statistics for the question above
A.
4.27
B.
2.27
C.
3.27
D.
1.27
Question #12
An article in a journal reports that 34% of American fathers take no responsibility for child care. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 234 fathers from Littleton yielded 96 who did not help with child care. Test the researcher's claim at the 0.05 significance level. Select the conclusion for the question above
A.
Fail to reject Ho
B.
Reject Ho
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