12.7  Determine the test statistic.   Determine the​ P-value.   Determine the proper conclusion at the 0.05 significance level. Choose the correct answer below.   A.Reject H0. There is sufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and handedness.   B.Fail to reject H0. There is insufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and handedness.   C.Fail to reject H0. There is insufficient evidence to support the alternative hypothesis. There appears to be an interaction between gender and handedness.   D.Reject H0. There is sufficient evidence to support the alternative hypothesis. There appears to be an interaction between gender and handedness.   If appropriate, test for an effect from the row factor. Choose the correct answer below.   A. H0​: Men and women have the same population mean sitting height. H1​: Men and women have different population mean sitting heights.   B. H0​: ​Left-handed people and​ right-handed people have different population mean sitting heights. H1​: ​Left-handed people and​ right-handed people have the same population mean sitting height.   C. H0​: Men and women have different population mean sitting heights. H1​: Men and women have the same population mean sitting height.   D. H0​: ​Left-handed people and​ right-handed people have the same population mean sitting height. H1​: ​Left-handed people and​ right-handed people have different population mean sitting heights.   E. This test is not appropriate due to the results of the test for interaction between the two factors.   If​ appropriate, determine the test statistic. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.   A.The test statistic is enter your response here. ​(Round to two decimal places as​ needed.)   B. This test is not appropriate due to the results of the test for interaction between the two factors.   If​ appropriate, determine the​ P-value. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.   A.The​ P-value is enter your response here. ​(Round to three decimal places as​ needed.)   B. This test is not appropriate due to the results of the test for interaction between the two factors.   If​ appropriate, determine the​ P-value. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.   A.The​ P-value is enter your response here. ​(Round to three decimal places as​ needed.)   B. This test is not appropriate due to the results of the test for interaction between the two factors.

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12.7 

Determine the test statistic.

 

Determine the​ P-value.

 

Determine the proper conclusion at the 0.05 significance level. Choose the correct answer below.

 

A.Reject

H0.

There is sufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and handedness.

 

B.Fail to reject

H0.

There is insufficient evidence to support the alternative hypothesis. There does not appear to be an interaction between gender and handedness.

 

C.Fail to reject

H0.

There is insufficient evidence to support the alternative hypothesis. There appears to be an interaction between gender and handedness.

 

D.Reject

H0.

There is sufficient evidence to support the alternative hypothesis. There appears to be an interaction between gender and handedness.

 

If appropriate, test for an effect from the row factor. Choose the correct answer below.

 

A.

H0​:

Men and women have the same population mean sitting height.

H1​:

Men and women have different population mean sitting heights.

 

B.

H0​:

​Left-handed people and​ right-handed people have different population mean sitting heights.

H1​:

​Left-handed people and​ right-handed people have the same population mean sitting height.

 

C.

H0​:

Men and women have different population mean sitting heights.

H1​:

Men and women have the same population mean sitting height.

 

D.

H0​:

​Left-handed people and​ right-handed people have the same population mean sitting height.

H1​:

​Left-handed people and​ right-handed people have different population mean sitting heights.

 

E.

This test is not appropriate due to the results of the test for interaction between the two factors.

 

If​ appropriate, determine the test statistic. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

 

A.The test statistic is

enter your response here.

​(Round to two decimal places as​ needed.)

 

B.

This test is not appropriate due to the results of the test for interaction between the two factors.

 

If​ appropriate, determine the​ P-value. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

 

A.The​ P-value is

enter your response here.

​(Round to three decimal places as​ needed.)

 

B.

This test is not appropriate due to the results of the test for interaction between the two factors.

 

If​ appropriate, determine the​ P-value. Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

 

A.The​ P-value is

enter your response here.

​(Round to three decimal places as​ needed.)

 

B.

This test is not appropriate due to the results of the test for interaction between the two factors.

**Sitting Height Study Overview**

The sitting height of a person refers to the vertical distance from the sitting surface to the top of the head. The data provided below represent the sitting heights, measured in millimeters (mm), of randomly selected U.S. Army personnel. This was collected as part of a substantial, reputable study. The data are analyzed with a significance level of 0.05 to deduce insights.

**Table: Sitting Height Data**

|        | Right-Handed           | Left-Handed            |
|--------|------------------------|------------------------|
| Female | 857, 879, 874, 785, 896| 871, 857, 886, 847, 813|
| Male   | 944, 909, 903, 913, 947| 1001, 916, 1030, 915, 977|

- **Description:**
  - The table shows the sitting heights categorized by handedness (Right-Handed and Left-Handed) and gender (Female and Male). 
  - For each category, individual data points represent the sitting height in millimeters of each participant.

**Analysis Task**

Using this data, analyze and conclude any significant differences in sitting heights based on handedness and gender, utilizing a 0.05 significance level for statistical testing.
Transcribed Image Text:**Sitting Height Study Overview** The sitting height of a person refers to the vertical distance from the sitting surface to the top of the head. The data provided below represent the sitting heights, measured in millimeters (mm), of randomly selected U.S. Army personnel. This was collected as part of a substantial, reputable study. The data are analyzed with a significance level of 0.05 to deduce insights. **Table: Sitting Height Data** | | Right-Handed | Left-Handed | |--------|------------------------|------------------------| | Female | 857, 879, 874, 785, 896| 871, 857, 886, 847, 813| | Male | 944, 909, 903, 913, 947| 1001, 916, 1030, 915, 977| - **Description:** - The table shows the sitting heights categorized by handedness (Right-Handed and Left-Handed) and gender (Female and Male). - For each category, individual data points represent the sitting height in millimeters of each participant. **Analysis Task** Using this data, analyze and conclude any significant differences in sitting heights based on handedness and gender, utilizing a 0.05 significance level for statistical testing.
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