Suppose that researchers are interested in determining if the proportion of tigers in Siberia with more orange than red is different from the proportion of tigers in Siberia with more red than orange. They randomly select 31 tigers to observe and determine if they have more orange than red on their coats or if they have more red than orange. Does this experiment meet the conditions to use the two-sample proportions method? No Yes

Discuss the basic strategy for comparing the means of two populations based on a simple random paired sample.

Two computer users were discussing tablet computers. A higher proportion of people ages 16 to 29 use tablets than the proportion of people age 30 and older. The table below details the number of tablet owners for each age group. Test at the 1% level of significance. (For subscripts let 1 = 16-29 year old users, and 2 = 30 years old and older users.)   16–29 year olds 30 years old and older Own a Tablet 69 231 Sample Size 625 2,313 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. H0: p1 < p2 H0: p1 > p2      H0: p1 ≠ p2 H0: p1 = p2 H0: p1 ≥ p2 Part (b) State the alternative hypothesis. Ha: p1 < p2 Ha: p1 ≠ p2      Ha: p1 = p2 Ha: p1 > p2 Ha: p1 ≤ p2 Part (c) In words, state what your random variable  P'1 − P'2  represents. P'1 −…

We predict that children exhibit more aggressive act after watching a violent television show. The scores for ten children were recorded before they watched a violent show and then after they watched a violent show. Aggression was measured in terms of number of aggressive acts (e.g. hitting, yelling, kicking etc).   Sample 1 (after TV show): 5,6,4,4,7,3,2,1,4,1 Sample 2 (before TV show): 4,6,3,2,4,1,0,0,5,2   What is the critical value?