(This can also be done using 1-PropZTest in the STAT TESTS menu of the TI-83/84.)
IV . The question asked about both α = 0.05 and α = 0.01. We note that this finding would have
been significant at α = 0.05 but not at α = 0.01. For the two significance levels, the solutions
would look something like this:(1) Since the P -value = 0.042 < α = 0.05, we reject the null hypothesis. We have evidence
that the true proportion of heads is greater than 0.50.(2) Since the P -value = 0.042 > α = 0.01, we fail to reject the null hypothesis. We do not
have convincing evidence that the true proportion of heads is greater than 0.50.Inference for the Difference Between Two Population Proportions
The logic behind inference for two population proportions is the same as for the others we have studied.
As with the one-sample case, there are some differences between z -intervals and z -tests in terms of the
computation of the standard error. The following table gives the essential details.
example: Two concentrations of a new vaccine designed to prevent infection are developed and a
study is conducted to determine if they differ in their effectiveness. The results from the study