Hypothesis Testing

A medical trial is conducted to test whether or not a new medicine reduces uric acid by 50%. State the null hypothesis 𝐻𝑜.

• The new medicine can reduce uric acid.

• The new medicine cannot reduce uric acid.

We want to test whether the general average of students in Math is different from 80%. State the alternative hypothesis 𝐻𝑎.

• The general average of students in Math is equal to 80%.

• The general average of students in Math is different from 80%.

We want to test whether the mean height of Grade 8 students is 58 inches. State the null hypothesis 𝐻𝑜.

• The mean height of students is 58 inches.

• The mean height of students is not (or less than or higher than ) 58 inches.

We want to test if LPIHS students take more than four years to graduate from high school, on average. State the alternative hypothesis 𝐻𝑎.

• Students take an average of four years to graduate from high school.

• Students take an average of more than four years to graduate from

We want to test if it takes less than 60 minutes to answer the quarterly test in Calculus. State the null hypothesis 𝐻𝑜.

• It takes 60 minutes to answer the quarterly test in calculus.

• It takes less than or (more than) 60 minutes to answer the quarterly

The mean height of Grade 12 students is less than 66 inches. Is it a one-tailed test or a two-tailed test?

• one-tailed test

• two-tailed test

The standard deviation of their height is not equal to 5 inches. Is it a one-tailed test or a two-tailed test?

• one-tailed test

• two-tailed test

Male Grade 7 and Grade 12 students differ in height on average. Is it a one-tailed test or a two-tailed test?

• one-tailed test

• two-tailed test

The proportion of senior male students’ height is significantly higher than that of senior female students. Is it a one-tailed test or a two-tailed test?

• one-tailed test

• two-tailed test

The average grade of Grade 11 students in Statistics is lower than their average grade in Calculus. Is it a one-tailed test or a two-tailed test?

• one-tailed test

• two-tailed test