Over a long period of time, it is found that a particular bus service is on time in
80% of journeys. The bus company claims that it has made improvements to the
service and that the bus is now on time more often. I decide to test this at the 5%
significance level.
(i) Write down the null and alternative hypotheses that I should use.
In my next 10 journeys, the bus is on time every time.
(ii) Find the p-value for this hypothesis test.
(iii)What is my conclusion?
(iv) Explain why this hypothesis test is unfair on the bus company, and state how
many journeys I need to make so that it is possible that the null hypothesis
could be rejected using the same significance level
80% of journeys. The bus company claims that it has made improvements to the
service and that the bus is now on time more often. I decide to test this at the 5%
significance level.
(i) Write down the null and alternative hypotheses that I should use.
In my next 10 journeys, the bus is on time every time.
(ii) Find the p-value for this hypothesis test.
(iii)What is my conclusion?
(iv) Explain why this hypothesis test is unfair on the bus company, and state how
many journeys I need to make so that it is possible that the null hypothesis
could be rejected using the same significance level