The four major competitors in the computer work-station market are Sun Microsystems (29%), Hewlett-Packard (18.8%), IBM (16%),and Digital Equipment (11.6%) with other manufacturers holding 24.6% of the market. One year later a survey of computer workstations found 97 Sun, 86 HP, 70 IBM, 60 Digital and 82 other. Test at the 2.5% level of significance whether changes have occurred during the 1-year period.
1. State the critical value for the test.
2. Find the value of the test statistic (to 3 dec pl).
3. Can we conclude that the proportions have changed during the year? (yes/no)