A buyer for a t-shirt shop wants to compare the proportion of t-shirts of each size that are sold to the proportion that were ordered. The buyer counts the number of t-shirts of each size that are sold in a week.

size

Sold

Percentage ordered

Small

25

10%

Medium

41

20%

Large

91

40%

Extra Large

68

30%

Does the distribution of the sold items follow the distribution of the ordered items?

State the null and alternative hypothesis

Give the p-value

Give a conclusion for the hypothesis test.