For the following two hypothesis tests, use the alpha = .05 level of confidence

PointsClaim: The average age of online students is 32 years old.

Ho:

Ha:

Sample mean:32.66666667

Sample St. Dev:10.35

Distribution:

Test Statistic:*2 decimalsCalculation:

p-value:*4 decimals

Interpretation:

Claim: The proportion of males in online classes is 35%

Ho:

Ha:

Sample Proportion Males0.5833 Sample Proportion Females0.1467

Distribution:

Test Statistic:*2 decimalsCalculation:

p-value:*4 decimals

Interpretation:

Supporting Information:

AgeGender

17M

20M

20F

21M

22M

24F

25F

25F

27M

27M

31F

31F

31M

34M

36M

37F

38M

38M

40M

42F

46M

49F

51M

52F

Sample Mean:32.66666667

Sample St. Dev:10.35

Sample Size:24

Distribution:T-Distribution

Critical Value:2.07*2 decimals

Margin of Error:5.51*2 decimalsCalculation:2.069*10.353/24 (2.069*2.1132 = 5.5136)

Lower Bound:27.09*2 decimalsCalculation:32.6-5.5136=27.0864

Upper Bound: 38.11*2 decimalsCalculation:32.5+5.5136=38.1136

Interpret95% Confident the mean age of online college students is between 27.09 and 38.11

95% Confidence Interval for Proportion of Male Online College Students:

Sample Size:24

Number of Males:14

Male Proportion:0.5833 Female Proportion0.1467 *4 decimals

Distribution:T-Distribution

Critical Value:2.07*2 decimals

Margin of Error:0.2626 *4 decimalsCalculation:2.069*.5833*.4168/24 (2.609*.10063=.2626)

Lower Bound:0.3197 *4 decimalsCalculation:.5833-.2626=.3197

Upper Bound:0.8449 *4 decimalsCalculation:.5833+.2626=.8449

Interpret95% Confident the mean proportion of male online college students is between .3197 and .8449