True or False and short answer why? 1. Suppose a 95% confidence interval for a p

Question

True or False and short answer why?

1. Suppose a 95% confidence interval for a population proportion of students at our school who regularly drink alcohol is (0.51,0.57). The interference is that you can be 95% confident that the sample proportion falls between 0.51 and 0.57.

2.If you increase the sample size you have a better chance of rejecting a null hypothesis that is false(when all else about the population stays the same.

3.If we reject h0 : u=0 in a study about change in weight on a new diet using =0.01, then we also reject it using =0.1.

4. As the sample size increases, the margin of error in estimating the mean increases.

Explanation / Answer

1.It is false as The interference is that you can be 95% confident that the population proportion falls between 0.51 and 0.57.

2. False rejection doesn't depend on sample size

3. False as pvalue=0.05 we will not reject H0 for =0.01 but for  =0.1 we will reject H0

4. False as n is denominator, as it increases margin of error decreases.

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