The Australian Journal of Health reported that in 2007 in Australia there were 10% of nursing home residents who were younger than 65 (Less than 65), 13% of residents who were between 65 and less than 75 (65 to less than 75), 32% who were between 75 and less than 84 (75 to less than 84) and 45% who were 84 and older (84+). The following data is from a recent survey of 6629 nursing home residents in Australia. Age

Current Number

Less than 65

398

65 to less than 75

663

75 to less than 84

2254

84 +

3314

At the 5% level of significance, has the age distribution of all nursing home residents changed since 2007?

In your answer include all steps necessary to perform the hypothesis test to answer this research question [including, but not limited to, calculation of the test statistic, the P-value, decision and conclusion].