A null hypothesis can only be rejected at the 10% significance level if and only if:
A) a 90% confidence interval includes the hypothesized value of the parameter
B) a 90% confidence interval does not include the hypothesized value of the parameter
C) the null hypothesis is biased
D) the null hypotheses includes sampling error

Question

Quizplus · Accepted Answer

A null hypothesis can only be rejected if the observed data is unlikely to have occurred if the null hypothesis were true. This is typically determined by calculating a p-value, which is the probability of observing data as extreme or more extreme than what was observed, assuming the null hypothesis is true. A p-value of 0.1 or less indicates that the observed data is unlikely to have occurred by chance alone and therefore the null hypothesis can be rejected. A 90% confidence interval, on the other hand, provides a range of values within which we can be 90% confident that the true parameter value lies, but it does not directly inform us about whether the null hypothesis should be rejected or not. Therefore, a null hypothesis can only be rejected at the 10% significance level if a 90% confidence interval does not include the hypothesized value of the parameter.

A Null Hypothesis Can Only Be Rejected at the 10