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 theory and samples families with young children. They find the following results. Construct a 95% confidence interval to estimate the true difference between the proportions of children who read at an early age when they are read to frequently compared to those who were read to less often, as described in the table of results. Let Population 1 be the children who were read to frequently and Population 2 be the children who were read to less often. Round the endpoints of the interval to three decimal places, if necessary. Started Reading by age 4 Started Reading after age 4 Ages when Children Begin to Read Read to at Least Three Times per Week 59 39 Read to Fewer than Three Times per Week 29 55

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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 theory and samples families
with young children. They find the following results. Construct a
95% confidence interval to estimate the true difference between the proportions of children who read
at an early age when they are read to frequently compared to those who were read to less often, as
described in the table of results. Let Population 1 be the children who were read to frequently and
Population 2 be the children who were read to less often. Round the endpoints of the interval to three
decimal places, if necessary.
Started Reading by
age 4
Started Reading after
age 4
Ages when Children Begin to Read
Read to at Least Three Times
per Week
59
39
Read to Fewer than Three Times
per Week
29
55
Transcribed Image Text: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 theory and samples families with young children. They find the following results. Construct a 95% confidence interval to estimate the true difference between the proportions of children who read at an early age when they are read to frequently compared to those who were read to less often, as described in the table of results. Let Population 1 be the children who were read to frequently and Population 2 be the children who were read to less often. Round the endpoints of the interval to three decimal places, if necessary. Started Reading by age 4 Started Reading after age 4 Ages when Children Begin to Read Read to at Least Three Times per Week 59 39 Read to Fewer than Three Times per Week 29 55
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