Hypothesis testing I was given this problem as homework and am confused on how to approach it
We want to know if a chemistry students gender is a statistically significant factor in predicting the average chemistry test score.  The list below gives test scores by gender.  These scores were taken from as a simple random sample from the population of all chemistry students
female: 59 77 95 98 82 83
male: 56 77 78 79 79 66 88 89 90 90 
Do a hypothesis test to decide if the gender of the chemistry student is statistically significant for performance on a chem test.  (alpha = 0.05)
 A: The question you were asked is quite poorly worded; that doesn't help (in fact if a student wrote that way I'd be inclined to deduct marks for it). 
It seeks a test for a difference in means ("average chemistry test score"). The "simple random sample of all students" implies that the scores should be independent or close to it. Do you know of any tests for a difference in means with two independent samples?
A: Proportion Test: 
Carryout a Chi-Square test by converting the chemistry score into two groups "High" and "Low". Give tag "High" to students ( irrespective of gender) who score greater than equal to mean score; similarly, give tag "Low" to students ( irrespective of gender" who score less than mean score. 
mean_score = (59 + 77 + 95 + 98 + 82 + 83 + 56 + 77 + 78 + 79+ 79 + 66 + 88 + 89 +90 + 90)/16
mean_score = 80.375 

Subsequently, you should be able to prepare a contingency table as given below: 
         | High |  Low
Female      4      2
Male        4      6

Now conduct a Hypotheses test using Chi-square.
Null Hypotheses: Gender has no impact on chemistry score.
Alternate Hypotheses: Gender has impact on chemistry score. 

