One study revealed that a child under the age of 10 watches television 4.5 hours per day. A group of families from a certain comunity would like to beleive that theri children watch television less than the national average. A random sample of 14 children from the community yielded a mean of 4.1 hours per day with standard deviation of 1.2. Test the appropriate hypothesis at the level of significance 0.01. Assume the viewing time is normally distributed and interpret your results.

This exercise has to do with the testing of the hypothesis using the level of significance of 0.01. The results show that the null hypothesis must be rejected at

t = (4.1-4.5)/(1.2/√14) = - 1.25.

What is a Hypothesis?

In science, a hypothesis refers to a tested assertion concerning the relationship between two or more variables or a proposed explanation for a phenomenon that has been observed.

What is the solution to the test of hypothesis?

Step 1 - Recall the values given

The Null Hypothesis would be that:

μ ≥ 4.5

The Alternative Hypothesis would be that:

μ < 4.5

The formula is provided by:

t = (X - μ₀)/(x√n)

Inserting the figures, we have:

t = (4.1-4.5)/(1.2/√14) = - 1.25.

Degrees of Freedom is given as:

dr = n - 1 - 14 - 1 - 13

Value of p is given as:

P[tex]_{v}[/tex] = P (t₁₃ < -1.25) = 0.117

Because the p-value is more than the significance level, this thus provides enough evidence to reject the null hypothesis and we can state conclusively that the true mean is not significantly less than 4.5 minutes.

Learn more about the Hypothesis at:
https://brainly.com/question/17351101
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