The student population at the state college is made up of 60% females and 40% males. The college theater department recently staged a production of a modern musical. A researcher recorded the gender of each student entering the theater and found a total of 37 females and 18 males. Is the gender distribution for theater goers significantly different from the distribution for the general college? Test at the .05 level of significance.   Chi-Square Distribution Degrees of Freedom = 16             0123456789101112131415161718192021222324252627282930Χ²   χ² critical value = (to three decimal places) χ² =  (to two decimal places)   Conclusion: Fail to reject the null hypothesis; the distribution of gender for theater goers is not significantly different from that of the general college.   Fail to reject the null hypothesis; the distribution of gender for theater goers is significantly different from that of the general college.   Reject the null hypothesis; the distribution of gender for theater goers is significantly different from that of the general college.   Reject the null hypothesis; the distribution of gender for theater goers is not significantly different from that of the general college.     The same researcher also recorded the gender of each student watching a men’s basketball game in the college gym and found a total of 58 females and 82 males. Is the gender distribution for (men’s) basketball fans significantly different from the distribution for the general college? Test at the .05 level of significance. (Use two decimal places.) X² critical value = (to three decimal places) Χ² = (to two decimal places)   Conclusion: Fail to reject the null hypothesis; the distribution of gender for men’s basketball fans is significantly different from that of the general college.   Fail to reject the null hypothesis; the distribution of gender for men’s basketball fans is not significantly different from that of the general college.   Reject the null hypothesis; the distribution of gender for men’s basketball fans is significantly different from that of the general college.   Reject the null hypothesis; the distribution of gender for men’s basketball fans is not significantly different from that of the general

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Author:Amos Gilat
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The student population at the state college is made up of 60% females and 40% males.
The college theater department recently staged a production of a modern musical. A researcher recorded the gender of each student entering the theater and found a total of 37 females and 18 males. Is the gender distribution for theater goers significantly different from the distribution for the general college? Test at the .05 level of significance.
 

Chi-Square Distribution

Degrees of Freedom = 16

     
     
0123456789101112131415161718192021222324252627282930Χ²
 
χ² critical value =
(to three decimal places)
χ² =
 (to two decimal places)
 
Conclusion:
Fail to reject the null hypothesis; the distribution of gender for theater goers is not significantly different from that of the general college.
 
Fail to reject the null hypothesis; the distribution of gender for theater goers is significantly different from that of the general college.
 
Reject the null hypothesis; the distribution of gender for theater goers is significantly different from that of the general college.
 
Reject the null hypothesis; the distribution of gender for theater goers is not significantly different from that of the general college.
 
 
The same researcher also recorded the gender of each student watching a men’s basketball game in the college gym and found a total of 58 females and 82 males. Is the gender distribution for (men’s) basketball fans significantly different from the distribution for the general college? Test at the .05 level of significance. (Use two decimal places.)
X² critical value =
(to three decimal places)
Χ² =
(to two decimal places)
 
Conclusion:
Fail to reject the null hypothesis; the distribution of gender for men’s basketball fans is significantly different from that of the general college.
 
Fail to reject the null hypothesis; the distribution of gender for men’s basketball fans is not significantly different from that of the general college.
 
Reject the null hypothesis; the distribution of gender for men’s basketball fans is significantly different from that of the general college.
 
Reject the null hypothesis; the distribution of gender for men’s basketball fans is not significantly different from that of the general
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