A decade-old study found that the proportion, p, of high school seniors who believed that "getting rich" was an important personal goal was 75%. A researcher decides to test whether or not that percentage still stands. He finds that, among the 250 high school seniors in his random sample, 182 believe that "getting rich" is an important goal. Can he conclude, at the 0.05 level of significance, that the proportion has indeed changed?
Perform a two-tailed test. Then fill in the table below.
The null hypothesis is:
The alternative hypothesis is:
The type of test statistic is: z, t, chi square or f
The value of the test statistic is (round to at least three decimals)
The two critical values at the 0.05 level of significances (round to at least three decimals)