For a certain year, a study reports that the percentage of college students using credit cards was 87%. A college dean of student services feels that this is too high for her university, so she...

For a certain year, a study reports that the percentage of college students using credit cards was 87%. A college dean of student services feels that this is too high for her university, so she randomly selects 225 students and finds that 190 of them use credit cards. At the .01 significance level, is she correct about her university?