Question

Question 1 O pts Problem 1: (21 points] Young children in the United States are exposed on an average of 4 hours of background television per day. Having the television on in the background while children are doing other activities may have adverse consequences on a child's well-being. You have a research hypothesis that children from low-income families are exposed to more thart 4 hours of daily background television. In order to test this hypothesis, you have collected data on a random sample of 64 children from low-income families and found that these children were exposed on the average to 4.5 hours of daily background television. Based on a previous studies, you are willing to assume that the population standard deviation is 1.5 hours. Use a .03 level of significance for testing.

Answer 1

12)

Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 4
Alternative Hypothesis, Ha: μ > 4

Rejection Region
This is right tailed test, for α = 0.03
Critical value of z is 1.881.
Hence reject H0 if z > 1.881

Test statistic,
z = (xbar - mu)/(sigma/sqrt(n))
z = (4.5 - 4)/(1.5/sqrt(64))
z = 2.667

P-value Approach
P-value = 0.0038
As P-value < 0.03, reject the null hypothesis.

Rejection Region Approach
As the value of test statistic, z is within critical value range, reject the null hypothesis

Results are same because significance level is same for both method

13)

There is sufficient evidence to conclude that children from low income families are exposed to more than 4 hours daily background tv