Project #50872 - statistics

1.

In a recent census, a particular metropolitan area yielded the following demographic information about its residents:

     
White    50%
African American    21%
Hispanic    12%
Asian    12%
Other    5%

 

XYZ Corporation conducts a census of its own employees and determines that 143 are white, 34 are African American, 19 are hispanic, 34 are Asian, and 11 identified as other.

 

At the 0.05 level of significance, test the hypothesis that the demographics of the employees at XYZ Corporation is a good fit with the general population of its metropolitan area.

 

Critical Value =    

 

Test Statistic =    

 

 

 

2.

In a blind study for a new drug that is supposed to alleviate symptoms caused by gastritis the participants were split into two groups. The "Treatment Group" was giving the actual drug while the "Placebo Group"  was given a fake drug. In the table below, "n" represents the total number of partcipants for each group and "x" represents those that reported that their symptoms were reduced significantly.

 

With a 91% level of confidence, test the claim that the proportion of those in the treatment group that reported a reduction in symptoms was greater than the proportion in the placebo group.

 

Treatment Group Placebo Group
       
n =  420 n =  360
x =  344 x =  228
       

 

Which of the following null and alternate hypotheses best fit this test?

  

 

Critical Value =   

 

Test Statistic =    

 

 

 

 

 

3.

 

A group of 430 randomly selected Democrats was asked whether or not they would still support the "National Freedom to Vote Act" passed in 1978 by a Republican congress, 314 said they would still support it. When a group of 370 randomly selected Democrats were asked the same question, but told that the NFVA was passed by a Democratic  congress, 290 stated they would still support it (although there is no such act).

 

With a 97% level of confidence, test the claim that the proportion of those who would still support this act if it was passed by a Republican congress is equal to the proportion of those who would still support it if was passed by a Democratic congress.

 

Which of the following null and alternate hypotheses best fit this test?

  

 

Critical Value =   

 

Test Statistic =    

 

What is the best conclusion for this test:

4.

 

In randomized, double-blind clinical trials of a new vaccine, subjects were randomly divided into two groups. The subjects in group 1received the new vaccine while the subjects in group 2 received a control vaccine. After the first dose, 174 out of 290 subjects in the experimental group (group 1) experienced vomiting as a side effect. After the first dose, 119 out of 240 in the control group (group 2) experienced vomiting as a side effect. Construct a 95% confidence interval for the difference between two proportions, p1 - p2.

 

    < p1 - p2  <    


 

5.

Salary data was collected from the annual salaries of randomly selected teachers in two separate school districts as shown below.

 

The Springfield Unified School District:

[37800.0, 34200.0, 36400.0, 29900.0, 30600.0, 37000.0, 35600.0, 37000.0, 38000.0, 34200.0, 31600.0, 38900.0, 32900.0, 29700.0, 37600.0, 33200.0, 37400.0, 38200.0, 31100.0, 29900.0]

 

The City of Quahog School District:

[39600.0, 32700.0, 36500.0, 32500.0, 35000.0, 37400.0, 41900.0, 30300.0, 43100.0, 35200.0, 36100.0, 29400.0, 40400.0]

 

At the 0.05 level of significance, test the claim that mean salary of teachers in both cities are equal. Do not assume that the population standard deviations are equal. All salaries are measured in annual dollar amounts.

 

Critical Value =     (use only the positive value)

 

Test Statistic =     (use only the positive value).

 

Conclusion:

 

 

 

 

 

 

 

 

Subject Mathematics
Due By (Pacific Time) 12/07/2014 05:00 pm
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