Hypothesis Testing

  

Based on your sample, you will conduct a hypothesis test with  to test two of the claims of the above article.

Using the same excel sheet as last week, answer the following in the “week 6” tab:

• Claim: the average age of      online students is 32 years old. Can you prove it is not?

· What is the null hypothesis?

· What is the alternative hypothesis?

· What distribution should be used?

· What is the test statistic?

· What is the p-value?

· What is the conclusion?

· How do we interpret the results, in context of our study?

• Claim: the proportion of      males in online classes is 35%. Can you prove it is not?

· What is the null hypothesis?
· What is the alternative hypothesis?
· What distribution should be used?
· What is the test statistic?
· What is the p-value?
· What is the conclusion?
· How do we interpret the results, in context of our study?

2

>Week

3

and

Data – Section B

1

Age Gender

or the following questions, use only the “age” column:

F

F

M

M

M Limits 1

M Freq. 1

M

1

F

1

M

1

M

25 M 2

F 2

20 F 2

*Round to two decimals

M 2

*Round to one decimal

F 2

*Round to one decimal

F

F

F

5 Ogive:

:

27 M Polygon 5

M

37 F

M

35 F

25

27 M

																																																																																																																																																																								Class		Age		Gender														1
																						F
	18
					27			Points	Age Frequency				Distribution:	Class Width
	21																												M
			2		0	Class	Limits	Midpoint		Freq.	Relative Frequency	Cumulative Relative Freq
4		5	Low	High
	47
	58
	39	Mid.
								25	RF
	30	CF
	54
Mean		*Round to two decimals
	19	Median			*Round to one decimal
Sample Standard deviation:
	36	Q1
			35	Q3
			37
	23
	38		Ogive:		Polygon
	43
	44
Total:

Week 5

Age Gender Points

18 F

27 F

25 F

19 F 1

25

20 F
35 F 2 Distribution: T-Distribution

37 F

23 F 2

38 F
37 F 2

*2 decimals

35 F 1

*2 decimals Calculation:

21 M 1

*2 decimals Calculation:

20 M

M

47 M 2
58 M

39 M

30 M
54 M 1 Sample Size: 25
25 M 1

36 M 2

27 M

43 M 2 Distribution: T-Distribution

44 M

27 M 2 Critical Value: 2.39 *2 decimals
2 Margin of Error:

*4 decimals Calculation:

1 Lower Bound:

*4 decimals Calculation:

1 Upper Bound:

*4 decimals Calculation:

Interpret

2
25

Class Age and Gender Data – Section B07
95% Confidence Interval for Average Age of Online College Students:
Sample Mean:	32.65
	Sample St. Dev:	11.8777766837		Normal Distribution
	Sample Size:				T-Distribution
	Critical Value:		2.39							*2 decimals
	Margin of Error:	5.6798324054								Calculation:
	Lower Bound:	26.9701675946
	Upper Bound:	38.3298324054
45		Interpret
We are 95% confident that the true average age of online college students lies between 26.97 and 38.33
95% Confidence Interval for Proportion of Male Online College Students:
Number of Males:	14
Male Proportion:		0.56	Female Proportion		0.44						*4 decimals
0.2373672056
0.7973672056
0.3226327944
We are 95% confident that the true Proportion of Male Online College Students is between 0.3226 and 0.7974
	Total Points

Week 6

Points

1

Normal Distribution

2

T-Distribution

0

Sample St. Dev: 0
2 Distribution:
2

*2 decimals Calculation:

2

*4 decimals

3

1 Ho:
2 Ha:

0.56

0.44

2 Distribution:

3 Test Statistic: *2 decimals Calculation:

2 p-value: *4 decimals
3 Interpretation:
25 Total Points

For the following two hypothesis tests, use the alpha = .05 level of confidence
Claim: The average age of online students is 32 years old.
	Ho:
	Ha:
Sample mean:
	Test Statistic:
	p-value:
	Interpretation:
Claim: The proportion of males in online classes is 35%
Sample Proportion Males	Sample Proportion Females

Based on your sample, you will conduct a hypothesis test with  to test two of the claims of the above article.

Using the same excel sheet as last week, 
answer the following in the “week 6” tab
:

· Claim: the average age of online students is 32 years old. Can you prove it is not?

. What is the null hypothesis?

. What is the alternative hypothesis?

. What distribution should be used?

. What is the test statistic?

. What is the p-value?

. What is the conclusion?

. How do we interpret the results, in context of our study?

· Claim: the proportion of males in online classes is 35%. Can you prove it is not?

. What is the null hypothesis?
. What is the alternative hypothesis?
. What distribution should be used?
. What is the test statistic?
. What is the p-value?
. What is the conclusion?
. How do we interpret the results, in context of our study?