Question

Past enrollment data indicates that 21% of the students taking elementary statistics at FHSU come from families of size six or larger. Is the enrollment in this semester's virtual class significantly greater than this claim, as measured statistically? Justify your answer through a formal hypothesis testing procedure on proportions with a 10% level of significance. It is required that you give needed hypotheses and related statistical values below as well as statistical computations to the right (again feel free to use the appropriate template from the Excel Guide for Unit 3). Then give a proper final interpretive conclusion statement below based on the statistical measures calculated and related to the context given.

	H0:	p=.21
	H1:	p≠.21
	Sample proportion (p-hat):	0.28
	Critical Value:	±1.6448536
	Sample's Test Statistic:	1.488351394
	P-value:	0.136658248
CONCLUSION:

Number in Family

3

5

9

1

6

4

4

4

7

4

2

6

8

5

2

2

4

4

8

3

3

8

3

5

3

4

6

4

4

3

11

9

3

4

4

4

4

5

7

3

3

4

9

6

4

6

6

4

4

2

6

5

5

3

10

3

3

7

3

4

3

1

2

3

6

4

3

7

4

4

4

4

7

2

2

Answer 1

H₀: p = 0.21, Percentage of students taking elementary statistics at FHSU coming from families of size six or larger is 21%

H₁: p > 0.21, Percentage of students taking elementary statistics at FHSU coming from families of size six or larger is greater than 21%

p_hat = 0.28

p = 0.21

n = 76

Test statistic = (p_hat-p)/(p*(1-p)/n)^0..5 = 1.49

Critical value = z_0.10= 1.28 (Right-tailed test)

Since test statistic is more than critical value, we reject the null hypothesis and conclude that percentage of students taking elementary statistics at FHSU coming from families of size six or larger is greater than 21%.