Is gender independent of education level? A random sample of 395 people were surveyed and each person was asked to report the highest education level they obtained. The data that resulted from the survey is summarized in the following table:High SchoolBachelorsMastersPh.d.TotalFemale 60 54 4641201Male 40 44 5357194Total 100 98 9998395Question: Are gender and education level dependent at 5% level of significance? In other words, given the data collected above, is there a relationship between the gender of an individual and the level of education that they have obtained?A. Calculate the expected counts for each category and enter your results in the table below.Table of expected counts: High SchoolBachelorsMastersPh.D.TotalsFemale Male Totals B. Next, calculate the contribution to Chi-square for each category and enter in the table below.Table of Chi-square contribution by category: High SchoolBachelorsMastersPh.D.TotalsFemale Male Totals C. Finally, calculate the overall Chi-square and, after determining the degrees of freedom for the study, use the table of critical Chi-square cutoff values on the next page to determine if there is a relationship between gender and education level using the 5% (P=0.05) level of significance. Now review your data and explain what the actual differences are between males and females with respect to education level achieved.

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MATLAB: An Introduction with Applications

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Author:Amos Gilat

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Is gender independent of education level? A random sample of 395 people were surveyed and each person was asked to report the highest education level they obtained. The data that resulted from the survey is summarized in the following table:

High SchoolBachelorsMastersPh.d.Total

Female 60 54 4641201

Male 40 44 5357194

Total 100 98 9998395

Question: Are gender and education level dependent at 5% level of significance? In other words, given the data collected above, is there a relationship between the gender of an individual and the level of education that they have obtained?

A. Calculate the expected counts for each category and enter your results in the table below.

Table of expected counts:

	High School	Bachelors	Masters	Ph.D.	Totals
Female
Male
Totals

B. Next, calculate the contribution to Chi-square for each category and enter in the table below.

Table of Chi-square contribution by category:

	High School	Bachelors	Masters	Ph.D.	Totals
Female
Male
Totals

C. Finally, calculate the overall Chi-square and, after determining the degrees of freedom for the study, use the table of critical Chi-square cutoff values on the next page to determine if there is a relationship between gender and education level using the 5% (P=0.05) level of significance. Now review your data and explain what the actual differences are between males and females with respect to education level achieved.

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