Suppose that some cosmologists are interested in measuring the average speed of comets in the Andromeda Galaxy.
Question:
Suppose that some cosmologists are interested in measuring the average speed of comets in the Andromeda Galaxy. However, comets traveling at speeds greater than 10, 000km/hr are too fast to be measured, but they can still be observed. This type of data is referred to as censored data. The cosmologists hypothesize that the speed of comets in the Andromeda Galaxy is normally distributed with = 3000km/hr. They find that 11 of the 30 comets they measured are traveling faster than 3000km/hr; 3 of the 11 speeds are censored. You wish to test whether the mean speed of comets is greater than 3000km/hr, but due to the censorship of the data you must settle for a proportion. Conduct a hypothesis test at the 5% level on an appropriate population proportion p that aims at answering whether the true mean speed of comets in the Andromeda Galaxy is greater than 3000km/hr.
what is the hypothesis in terms of p. define p.