P=,38 n= 500 Use the following to answer questions 10, 11, 12, 13, and 14. According to a report in USA Today, 38% of U.S. women wear size 7 shoes. A mail X=69 order catalog company took a random sample of 500 orders for women's shoes, and found that 169 of the orders were for size 7 shoes. 10. Set up the correct null and alternative hypotheses to test if these data indicate that the proportion of order size 7 shoes from the catalog is different from the proportion of women wearing size 7 shoes in the general population. H, : D=.38 vs H, :07.38 %3D 0=500 ×こ167 P =X=169 P= . 338 P= .38 G00 P=.34 9=.62 n 11. Calculate the value of the test statistic. Show your work and circle your answer. 2* - ア-P (. १५ - ,१8) 34-38 -1.84 %3D VC.35)(.62) 500 z* = - 1.84 a-025 12. Identify the rejection region, using a = 0.05 メ=.0a5 (a) z<-1.96 or z>1.96 (b) z>1.96 2- - 1,96 2-1.96 (c) z<-1.645 or z>1.645 2く -1.96 or 2>1.96 (d) z>1.645 (e) z<-1.28 or z>1.28 13. Find the p- value for this problem. Show your work and circle your answer. use fest Statistic P-value 0 329 0329 ,0329 P-value a 0658 •0658 2=-1,84 z*= 1.84 14. Comparing the p-value you found in question 13, with a=0.05, State your decision, draw your conclusion, and interpret your conclusion in the context of the problem. Decision: Ho Fail to'reject Conclusion: There is not sufticient evidence at the alpha level of Ô n O5 to conclude tthat the forportion_ot women g size 2 Shees id not 38go. wearing P-value = ,065s>a= 0.05 e value is qreater than alpha value so we fail to rejeet Ho

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.