Suppose you want to estimate the proportion of polydactyl cats (cats with extra toes). You sample 419 randomly selected cats, an
d find 56 polydactyls. You have no prior assumption to test- you only want to estimate the proportion. Should you carry out a hypothesis test using the sample proportion 56/419 as your null hypothesis? Select the best answer. Yes. Your null should be: The proportion of cats who are polydactyl is 56419, or 13.4%. 0 A. No. You should have a null hypothesis that the proportion of cats who are polydactyl is 0, since it's a genetic defect. O B. ° C. No. 419 isn't 10 times larger than 56. O D. No. There's no way to get a truly random sample. No. When all you wantto do isestimate a population parameter, you should construct a confidence interval. E. O F. I'm not sure.
No. When all you want to do is estimate a population parameter, you should construct a confidence interval.
Step-by-step explanation:
In this case, there is no other prior estimation about the population to test (a hypothesis to nullify). The only thing you can do is construct a confidence interval of the proportion, where the standard deviation can be calculated in function of the proportion and the sample size.
The right answer is E: "No. When all you want to do is estimate a population parameter, you should construct a confidence interval."
