A poll conducted by the General Social Survey asked a random sample of 1200 adults in the United States how much confidence they had in banks and other financial institutions. A total of 156 adults said that they had a great deal of confidence. An economist claims that less than 15% of U.S. adults have a great deal of confidence in banks. Use the= 0.01 level of significance.

(1)State the appropriate null and alternate hypotheses.

(2) Compute the test statistic. Do not round intermediate steps. Round the answer to two decimal places.

z = ?

(3) Compute theP-value.Round the answer to four decimal places.

p-value = ?

(4)Determine whether to rejectH0.( please enter ' reject' or 'fail to reject' in the blank below.)

We(blank) the null hypothesis H0at=0.01 level of significance.