Please use the following information to answer questions 33-35: A researcher is testing the effect of a new flu vaccine on absenteeism from work. A sample of n = 9 employees are randomly selected from the normally distributed population and given the vaccine; then, the researcher measures how many times they were absent in the subsequent year. If the mean number of absences in the entire organization (i.e., in the population) are 4 per year, can the researcher conclude that the vaccine had an impact on absenteeism, and if so, how large was the effect? Use an α of .05. Be sure to show all 5 steps.   Absences: 2   3    2    1    5    4    2    1    2   Question 33: Which of the following correctly represents the null and alternative hypothesis for the mentioned sample (MUST SHOW WORK FOR THIS PROBLEM)? Group of answer choices a. Ho: µ ≥ 4,   H1: µ < 4 b. Ho: µ ≤ 9,   H1: µ > 9 c. Ho: µ = 4,   H1: µ ≠ 4 d. Ho: µ > 1,   H1: µ ≤ 1   Question 34: Which of the following represents the critical region for this mentioned sample (MUST SHOW WORK FOR THIS PROBLEM)? Group of answer choices a. t = ±2.31 b. t = 2.31 c. t = -2.31 d. t = 0.05       Question 35: Compute the test statistic (t-observed) for the mentioned sample (MUST SHOW WORK FOR THIS PROBLEM).

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Please use the following information to answer questions 33-35:

A researcher is testing the effect of a new flu vaccine on absenteeism from work. A sample of n = 9 employees are randomly selected from the normally distributed population and given the vaccine; then, the researcher measures how many times they were absent in the subsequent year. If the mean number of absences in the entire organization (i.e., in the population) are 4 per year, can the researcher conclude that the vaccine had an impact on absenteeism, and if so, how large was the effect? Use an α of .05. Be sure to show all 5 steps.

 

Absences: 2   3    2    1    5    4    2    1    2

 

Question 33: Which of the following correctly represents the null and alternative hypothesis for the mentioned sample (MUST SHOW WORK FOR THIS PROBLEM)?

Group of answer choices

a. Ho: µ ≥ 4,   H1: µ < 4

b. Ho: µ ≤ 9,   H1: µ > 9

c. Ho: µ = 4,   H1: µ ≠ 4

d. Ho: µ > 1,   H1: µ ≤ 1

 

Question 34: Which of the following represents the critical region for this mentioned sample (MUST SHOW WORK FOR THIS PROBLEM)?
Group of answer choices
a. t = ±2.31
b. t = 2.31
c. t = -2.31
d. t = 0.05
 
 
 
Question 35: Compute the test statistic (t-observed) for the mentioned sample (MUST SHOW WORK FOR THIS PROBLEM).
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