UNIVERSITY OF TORONTO SCARBOROUGH Department of Computer and Mathematical Sciences APRIL 2016 EXAMINATIONS STAB22H3 Statistics I, LEC 03 Solutions to Questions: 34 –40, 45, 46, 48 34. Refer to the information in question 30. A researcher believes that the percentage of bottled water that were just tap water is more than 20 percent. He collects a sample of 1000 bottled water, of which 250 were found to be just tap water. What is the ?-value of the test of the null hypothesis ?𝑂: ?= 0.20 against the alternative hypothesis ?𝑎: ?> 0.20? a)0.01 b)Less than 0.0001 c)0.05 d)0.10 e)0.20 𝑍 = 0.250−0.200√0.20(0.80)1000= 3.95 P(Z > 3.95) is less than (1 –0.9999) = Less than 0.000135. Supreme Court in Canada sets limits for parents and teachers in regards to spanking a child. According to Section 43 of the Criminal Code(1): “Every schoolteacher, parent or person standing in the place of a parent is justified in using force by way of correction toward a pupil or child, as the case may be, who is under his care, if the force does not exceed what is reasonable under the circumstances”.A recent survey found that 42% of parents condone spanking their young children. A social science researcher is going to select a random sample of 750 parents and determine the proportion of parents who condone spanking their young children in the sample. Which of the following choices best describe the sampling distribution of the sample proportion?