Early childhood development studies indicate that the more often a child is read to from birth, the earlier the child begins to read. A local parents' group wants to test this and samples families with young children, finding the following results:
read to at least 3 times per week
read to fewer than 3 times per week
started reading before age 4
60
37
started reading after age 4
40
56
A. Create a 90% confidence interval to estimate the true difference between the proportions of children who read at an early age when read to frequently, compared to those children who read to less often (p1 - p2, where population 1 is frequently-read-to-children & population 2 is not-frequently-read-to-children). Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places. Example: (3.24, 9.21)
B. According to your confidence interval...
At 90% confidence, our data is inconclusive with regards to whether or not more children read early when read to frequently.
With 90% confidence, the proportion of children who start reading by age 4 is between 0.086 and 0.318 lower among children who are read to frequently than those read to less often.
With 90% confidence, the proportion of children who start reading by age 4 is between 0.086 and 0.318 higher among children who are read to frequently than those read to less often.