Section 5: 8 Marks Questions 15 to 17 refer to the following problem setting: A law enforcement agent believes that at least 88% of the drivers stopped on Saturday nights for speeding are under the influence of alcohol. A sample of 66 drivers who were stopped for speeding on a Saturday night was taken. Eighty percent of the drivers in the sample were under the influence of alcohol. Question 15 State the null and alternative hypotheses. [2] Question 16 Calculate the critical value and test statistic for this problem setting. Two decimals. [4] Question 17 Interpret the result you found in question 16 above. [2]
Section 5: 8 Marks
Questions 15 to 17 refer to the following problem setting:
A law enforcement agent believes that at least 88% of the drivers stopped on Saturday nights for speeding are under
the influence of alcohol. A sample of 66 drivers who were stopped for speeding on a Saturday night was taken.
Eighty percent of the drivers in the sample were under the influence of alcohol.
Question 15
State the null and alternative hypotheses. [2]
Question 16
Calculate the critical value and test statistic for this problem setting. Two decimals. [4]
Question 17
Interpret the result you found in question 16 above. [2]
Solution-:
Here, we use proportion test (Z-test)
Given:
We want to
Q.15 State the null and alternative hypothesis
Q.16 Calculate critical value and test statistic
Q.17 Interpret the result.
Q.15 Ans:
Hypothesis:
Null hypothesis:
Vs
Alternative hypothesis:
(Left tailed test)
Step by step
Solved in 3 steps
