True or false statements

If a p value for a test equaled 0.0000178,the null hypothesis would be rejected for any reasonable alpha

The further a t-test statistic is away from 0, the less likely you'd be to reject a null hypothesis.

A 95% confidence interval can be constructed to estimate a sample mean.

When estimating using a confidence interval, the width of the interval is twice the margin of error.

Among all t distributions, the larger the degrees of freedom, the more closely the t-distributions will resemble the standard normal distribution.