Question

Average Sleep Time on a School Night	Students
4 hours	8
5 hours	9
6 hours	14
7 hours	12
8 hours	15
9 hours	4
10 hours	0

Ho: 72.7% of high school students (grade 9-12) do not get enough sleep at night. (minimum 8 hours)

Ha: 72.7% of high school students (grade 9-12) do get enough sleep at night.

Sample size:

Sample mean:

Sample deviation:

Record the hypothesis test. Use 5% level of significance Include 95% confidence interval on solution sheet.

Create graph to illustrates results.

Answer 1

Sample size: 62

The sample mean: 0.3065

Sample deviation: 0.0566

Record the hypothesis test. Use 5% level of significance Include 95% confidence interval on solution sheet.

Observed	Hypothesized
0.3065	0.727	p (as decimal)
19/62	45/62	p (as fraction)
19.	45.074	X
62	62	n
	0.0566	std. error
	-7.43	z
	1.06E-13	p-value (two-tailed)
	0.1917	confidence interval 95.% lower
	0.4212	confidence interval 95.% upper
	0.1148	margin of error

The p-value is 0.0000.

Since the p-value (0.0000) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that 72.7% of high school students (grade 9-12) do get enough sleep at night.

The 95% confidence interval of the true % of high school students who do get enough sleep at night is between 0.1917 and 0.4212.

Create graph to illustrates results.

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