Alarge department store is curious what sections of the store make the most sales. the manager has data from ten years prior that show 30% of sales come from clothing, 25% home appliances, 18% houseware, 13% cosmetics, 12% jewelry, and 2% other. in a random sample of 500 current sales, 176 came from clothing, 150 home appliances, 75 houseware, 42 cosmetics, 51 jewelry, and 6 other. at α=0.10, can the manager conclude that the distribution of sales among the departments has changed?

hypotheses:

h0: there is a difference/no difference in the distribution of current sales.

h1: there is a difference/no difference in the distribution of current sales.

enter the test statistic - round to 4 decimal places.

enter the p-value - round to 4 decimal places.

can it be concluded that there is a statistically significant difference in the distribution of sales?