A. State the null and the alternative hypotheses of the following
statements.
1. A medical trial is conducted to test whether or not a new medicine
reduces uric acid by 50%.
: ____________________________________________________
: ____________________________________________________
2. We want to test whether the general average of students in Math is
different from 80%.
: ____________________________________________________
: ____________________________________________________
3. We want to test whether the mean height of Grade 8 students is 58
inches.
: ____________________________________________________
: ____________________________________________________
4. We want to test if LPIHS students take more than four years to graduate
from high school, on the average.
: ____________________________________________________
: ____________________________________________________
5. We want to test if it takes less than 60 minutes to answer the quarterly
test in Calculus.
: ____________________________________________________
: ____________________________________________________
6. A medical test is conducted to determine whether or not a new vaccine
reduces the complications of dengue fever.
: ____________________________________________________
: ____________________________________________________
7. The enrolment in high school this school year increases by 10%.
: ____________________________________________________
: ____________________________________________________
8. The intelligence quotient of male grade 11 students is the same as the
female students.
: ____________________________________________________
: ____________________________________________________
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9. The school want to test if the students in Grade 7 prefer online distance
learning as the method of instruction.
: ____________________________________________________
: ____________________________________________________
10. The school librarian wants to find out if there was an increase in the
number of students accessing the school library.
: ____________________________________________________
: ____________________________________________________
Answers & Comments
Answer:
1. Null hypothesis: The new medicine does not reduce uric acid by 50%. Alternative hypothesis: The new medicine reduces uric acid by 50%.
2. Null hypothesis: The general average of studets in Math is 80%. Alternative hypothesis: The general average of students in Math is different from 80%.
3. Null hypothesis: The mean height of Grade 8 students is 58 inches. Alternative hypothesis: The mean height of Grade 8 students is different from 58 inches
4. Null hypothesis: LPIHS students take four years or less to graduate from high school on the average. Alternative hypothesis: LPIHS students take more than four years to graduate from high school, on the average
5. Null hypothesis: It takes 60 minutes or more to answer the quarterly test in Calculus. Alternative hypothesis: It takes less than 60 minutes to answer the quarterly test in Calculus.
6. Null hypothesis: The new vaccine does not reduce the complications of dengue fever. Alternative hypothesis: The new vaccine reduces the complications of dengue fever.
7. Null hypothesis: The enrolment in high school this school year did not increase by 10%. Alternative hypothesis: The enrolment in high school this school year increased by 10%%
8. Null hypothesis: The intelligence quotient of male grade 11 students is different from the female students. Alternative hypothesis: The intelligence quotient of male grade 11 students is the same as the female studentss
9. Null hypothesis: The students in Grade 7 do not prefer online distance learning as the method of instruction. Alternative hypothesis:n The students in Grade 7 prefer online distance learning as the method of instruction.
10. Null hypothesis: There was no increase in the number of students accessing the school library. Alternative hypothesis: There was an increase in the number of students accessing the school library.