Young children in the United States are exposed to an average of 4 hours of background television per day (CNN website, November 13, 2012). You have a hypothesis that children from low-income families are exposed to more than 4 hours of daily background television. In order to test this hypothesis you have collected a random sample of 60 children from low-income families and found that these children were exposed to an average of 4.5 hours of daily background television. Based on a previous study, it may be assumed that the population standard deviation is 0.5 hours. Use 0.01 significance level.
Determine which of the following is an appropriate formulation for a hypotheses that can be used to test your research hypothesis? Enter the corresponding number in the answer text box.
For example if you think formulation number 3 is the most appropriate formulation for this problem then enter “3” in the answer text box.
H0: μ ≤ 4 Ha: μ > 4
H0: μ ≥ 4 Ha: μ <>
H0: μ ≤ 4.5 Ha: μ > 4.5
H0: μ ≥ 4.5 Ha: μ <>
H0: ≤ 4.5 Ha: > 4.5
H0: ≥ 4.5 Ha: <>
H0: ≤ 4 Ha: > 4
H0: ≥ 4.5 Ha: <>
H0: P ≤ 4 Ha: P >4
H0: P ≥4 Ha: P <>
H0: ≤ 4.5 Ha: > 4.5
H0: ≥ 4.5 Ha: <>
The answer is:
Enter the answer in x.xxx format. That is, first round your answer to three decimals and then use leading and trailing zeros to exactly match the format. Include the minus sign in your response if the answer is negative. For example, if your answer is 6.1525, first round it to three decimals which is 6.153 and then enter it as 6.153 to match the format. If your answer is -0.2 then enter it as -0.200 in the answer box and include the minus sign. If your answer is 0.32 then enter it as 0.320 to match the format.
What is the value of the test statistics? Enter the answer in x.xxx format per instructions for part b.
The answer is:
What is the P-value? Enter the answer in x.xxx format per instructions for part b.
The answer is:
What is the decision?
Enter “R” if your decision is to reject the null hypotheses. Enter “F” if the decision is do not reject the null hypotheses.
Thr answer (R/F) is:
Which of the followings is/are appropriate conclusion for the hypotheses test? Note that there may be more than one appropriate conclusion.
Enter “A” if the conclusion is appropriate and enter “N” if the conclusion is not appropriate.
At 99% confidence level, the data supports that the children in low-income families are exposed to more than 4 hours of background television.
The answer is:
At 90% confidence level, the data does not support that the children in low-income families are exposed to more than 4 hours of background television.
The answer is:
With a maximum risk of 1% of being wrong, we can conclude that the data support that the children in low-income families are exposed to more than 4 hours of background television.
The answer is:
With a risk of 1%, it can be concluded that the data suggest that the children in low-income families are exposed to less than 4 hours of background television.
The answer is: