Brazil  
Males  Females 






Ukraine  
Males  Females 






Vietnam  
Males  Females 






South Africa  
Males  Females 






Egypt  
Males  Females 






To find:
The significant difference in the sample statistics of the two samples.
Given:
The sample statistics of Brazil is given in the table below,
Sample 1 (Males) 
Sample 2 (Female) 
The sample statistics of Ukraine is given in the table below,
Sample 1 (Males) 
Sample 2 (Female) 
The sample statistics of Vietnam is given in the table below,
Sample 1 (Males) 
Sample 2 (Female) 
The sample statistics of South Africa is given in the table below,
Sample 1 (Males) 
Sample 2 (Female) 
The sample statistics of Egypt is given in the table below,
Sample 1 (Males) 
Sample 2 (Female) 
The five step model for hypothesis testing:
Step 1. Making assumptions and meeting test requirements.
Step 2. Stating the null hypothesis.
Step 3. Selecting the sampling distribution and establishing the critical region.
Step 4. Computing test statistics.
Step 5. Making a decision and interpreting the results of the test.
Formula used:
The formula to calculate the sampling distribution of the differences in sample means is given by,
Where,
Where,
Calculation:
For Brazil as the significant difference in the sample statistics is to be determined, a two tailed test is applied.
Follow the steps for twosample testing as,
Step 1. Making assumptions and meeting test requirements.
Model:
Independent random samples.
Level of measurement is interval ratio.
Sampling distribution is Normal.
Step 2. Stating the null hypothesis.
The statement of the null hypothesis is that there is no significant difference in the sample s of the population. Thus, the null and the alternative hypotheses are,
Step 3. Selecting the sampling distribution and establishing the critical region.
Since, the sample size is large, Z distribution can be used.
Thus, the sampling distribution is Z distribution.
The level of significance is,
Area of critical region is,
Step 4. Computing test statistics.
The population standard deviations are unknown.
The formula to calculate
Substitute 2.0 for
Simplify further,
The sampling distribution of the differences in sample means is given by,
Under the null hypotheses,
Substitute for
From equation
Thus, the obtained Z value is
Step 5. Making a decision and interpreting the results of the test.
Compare the test statistic with the critical
For Ukraine as the significant difference in the sample statistics is to be determined, a two tailed test is applied.
Follow the steps for twosample testing as,
Step 1. Making assumptions and meeting test requirements.
Model:
Independent random samples.
Level of measurement is interval ratio.
Sampling distribution is Normal.
Step 2. Stating the null hypothesis.
The statement of the null hypothesis is that there is no significant difference in the sample s of the population. Thus, the null and the alternative hypotheses are,
Step 3. Selecting the sampling distribution and establishing the critical region.
Since, the sample size is large, Z distribution can be used.
Thus, the sampling distribution is Z distribution.
The level of significance is,
Area of critical region is,
Step 4. Computing test statistics.
The population standard deviations are unknown.
The formula to calculate
Substitute 2.3 for
Simplify further,
The sampling distribution of the differences in sample means is given by,
Under the null hypotheses,
Substitute
From equation
Thus, the obtained Z value is
Step 5. Making a decision and interpreting the results of the test.
Compare the test statistic with the critical
For Vietnam as the significant difference in the sample statistics is to be determined, a two tailed test is applied
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