Respuesta :
The conclusion to find out if there has been a significant change in the homework habits of grade-school children is that;
There is insufficient evidence to support the claim that there has been significant change in the homework habits of grade-school children.
The seven steps are below.
Step 1; State the null and alternative hypotheses;
We are given;
Population mean; µ = 8 hours
Thus;
Null hypothesis; H[tex]_{o}[/tex]: µ = 8
Alternative hypothesis; H[tex]_{a}[/tex] [tex]\neq[/tex] 8
Step 2. We will set the level of risk that is associated with the null hypothesis;
The level of risk associated with the null hypothesis is simply the level of statistical significance. Thus, α = 0.05 = 5%
Step 3. Select the appropriate test statistic;
The question follows normal distribution and so the test statistic to use is z-test
Step 4. The value of the test statistic would be computed;
Formula for z-score is;
z = (x' - µ)/(σ/[tex]\sqrt{n}[/tex])
z = (7.4 - 8)/(2.5/[tex]\sqrt{100}[/tex] )
z = -2.4
Step 5. The value needed for rejection of the null hypothesis would be determined from the z-score table;
From z-score table, with z = -2.4; α = 0.05, two tailed hypothesis;
p-value = 0.0164
Step 6. Compare the p-value with the level of significance;
The p-value is less than the significance value
- 7. Make your decision;
Since the p-value is less than the significance value, we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that significant change in the homework habits of grade-school children.
Read more at; https://brainly.com/question/17776052
