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Hi I really appreciate your help. An independent survey claimed that the average number of people who will vote for BBM in Visayas is greater

Hi I really appreciate your help.

An independent survey claimed that the average number of people who will vote for BBM in Visayas is greater than the average number of people who will vote for VPLR in Luzon. To validate this survey, a group of researchers conducted a post-test. In a survey of 210 people in Luzon, the average number of people who will vote for VPLR is 153 with a population standard deviation of 7.6. In a survey of 200 people in Visayas, the average number of people who will vote for BBM is 155 with a population standard deviation of 12.6.

At = 0.05, can people trust the result of the survey?

1. What is the X variable in this case?

a. The average number of people who will vote for BBM

b. The average number of people who will vote for BBM or VPLR

c. The average number of people who will vote for VPLR

d. The average number of people who will not vote for BBM or VPLR

2. What is the null hypothesis statement?

a. the number of people who will vote for BBM in Visayas is less than or equal to the number of people who will vote for VPLR in Luzon

b. the number of people who will vote for BBM in Visayas is greater than the number of people who will vote for VPLR in Luzon

c. the number of people who will vote for BBM in Visayas is equal to the number of people who will vote for VPLR in Luzon

d. the number of people who will vote for B

3. What is the alternative hypothesis statement?

a. the number of people who will vote for BBM in Visayas is less than or equal to the number of people who will vote for VPLR in Luzon

b. the number of people who will vote for BBM in Visayas is equal to the number of people who will vote for VPLR in Luzon

c. the number of people who will vote for BBM in Visayas is greater than the number of people who will vote for VPLR in Luzon

d. the number of people who will vote for BBM in Visayas is not equal to the number of people who will vote for VPLR in Luzon

4. What is the claim of the survey?

a.the number of people who will vote for BBM in Visayas is less than or equal to the number of people who will vote for VPLR in Luzon

b. the number of people who will vote for BBM in Visayas is equal to the number of people who will vote for VPLR in Luzon

c. the number of people who will vote for BBM in Visayas is greater than the number of people who will vote for VPLR in Luzon

d. the number of people who will vote for BBM in Visayas is not equal to the number of people who will vote for VPLR in Luzon

5. What test should be used in the case analysis?

a. Two-sample Test Hypothesis Testing (t-test for Mean)

b. Two-sample Test Hypothesis Testing (Z-test for Population Proportion)

c. Two-sample Test Hypothesis Testing (Z-test for Mean)

d. None of the choices

6. What is the critical value?

a. 1.960

b. 1.282

c. 1.645

d. 2.580

7. What is the standard test statistic?

a. 1.4130

b. 1.2820

c. 2.1650

d. 3.1250

8. What is the decision?

a. Reject Ho

b. Do not Reject Ho

9. What does the decision imply?

a. There is sufficient evidence at 95% level of confidence that the average number of people who will vote for BBM in Visayas is greater than the number of people who will vote for VPLR in Luzon

b. There is no sufficient evidence at 95% level of confidence that the average number of people who will vote for BBM in Visayas is greater than the number of people who will vote for VPLR in Luzon

c. There is sufficient evidence at 95% level of confidence that the average number of people who will vote for BBM in Visayas is not equal the number of people who will vote for VPLR in Luzon

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