A report about how American college students manage their finances includes data from a survey of college students Each person in a representative sample of 793 college students was asked if they had one or more credit cards and if so whether they paid their balance in full each month There were 500 who paid in full each month For this sample of 500 students the sample mean credit card balance was reported to be 825 The sample standard deviation of the credit card balances for these 500 students was not reported but for purposes of this exercise suppose that it was 205 Is there convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than 905 the value reported for all college students with credit cards Carry out a hypothesis test using a significance level of 0 01 LUSE SALT State the appropriate null and alternative hypotheses in dollars Enter for as needed Ho H Find the test statistic Round your answer to two decimal places Use technology to find the P value Round your answer to four decimal places P value State the conclusion in the problem context We reject Ho We do not have convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than 905 We fail to reject Ho We do not have convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than 905 We fail to reject Ho We have convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than 905 We reject H We have convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than 905