Week 9 Lab: T-test Name: ___________________________________ Perform a t-test using the following information: You work for a US senator. After six months in office, she evaluates her public approval...

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Week 9 Lab: T-test Name: ___________________________________ Perform a t-test using the following information: You work for a US senator. After six months in office, she evaluates her public approval rating by surveying 25 random citizens in her district. The responses in the sample indicate that the senator has a 63% mean approval rating ( = 63), with a variance of 16 ( = 16). The senator will continue her current agenda only if she is convinced that her approval rating is above 60% in the population (μ > 60). Can she conclude that this is true in the population? She wants to be at least 99% confident before going forward. You decide to perform a t-test and determine if the mean approval rating in the sample of 25 citizens could have come from a population with an approval rating of 60% or below. Use the following equations and t-table to make a decision about whether the senator should continue her current agenda or not. Reject the null hypothesis Fail to reject the null hypothesis First state your null hypothesis. _______________________________________ Now state your alternative hypothesis. _______________________________________ What is _____________ Use the table below to find the critical t value. _____________ Now compute the t-statistic: ______________ Compare the t-statistic to the critical t value. Should you REJECT or FAIL TO REJECT (circle one) the null hypothesis? What does this mean? To answer that question, finish the following statement: Based on the t-test, I am ________% confident that the sample mean approval rating of 63% DID / DID NOT (circle one) come from a population with a mean approval rating of 60% or less. Therefore the senator should (circle one): a. Continue with her current agenda b. Perform another survey with a larger sample of citizens because the t-test was inconclusive
Answered Same DayApr 12, 2021

Answer To: Week 9 Lab: T-test Name: ___________________________________ Perform a t-test using the following...

Pooja answered on Apr 14 2021
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Week 9 Lab: T-test        
Name: ___________________________________
Perform a t-test using the followin
g information:
You work for a US senator. After six months in office, she evaluates her public approval rating by surveying 25 random citizens in her district. The responses in the sample indicate that the senator has a 63% mean approval rating ( = 63), with a variance of 16 ( = 16). The senator will continue her current agenda only if she is convinced that her approval rating is above 60% in the population (μ > 60). Can she conclude that this is true in the population? She wants to be at least 99% confident before going forward. You decide to perform a t-test and determine if the mean approval rating in the sample of 25 citizens could have come from a population with an approval rating of 60% or below. Use the following equations...
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