State Debt and Per Capita Tax An economics student wishes to see if there is a relationship between the amount of state debt per capita and the amount of tax per capita at the state level. Based on the following data, can she or he conclude that per capita state debt and per capita state taxes are related? Both amounts are in dollars and represent five randomly selected states. Per capita debt x       1645    2781    1904    1791    3418 Per capita tax  y       2423    3890    2129    2095    2214     (a) Compute the value of the correlation coefficient. Round your answer to at least three decimal places. r= (b) State the hypotheses. H0 :    H1:    (c) Test the significance of the correlation coefficient at α=0.05 , using The Critical Values for the PPMC Table.  Critical values: ± ▼(Choose one) the null hypothesis.

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State Debt and Per Capita Tax An economics student wishes to see if there is a relationship between the amount of state debt per capita and the amount of tax per capita at the state level. Based on the following data, can she or he conclude that per capita state debt and per capita state taxes are related? Both amounts are in dollars and represent five randomly selected states.

Per capita debt
x
  
   1645
   2781
   1904
   1791
   3418
Per capita tax 
y
  
   2423
   3890
   2129
   2095
   2214

 

 

(a) Compute the value of the correlation coefficient. Round your answer to at least three decimal places.

r=

(b) State the hypotheses.

H0 : 

 

H1: 

 

(c) Test the significance of the correlation coefficient at α=0.05 , using The Critical Values for the PPMC Table.

 Critical values: ±

▼(Choose one) the null hypothesis.

 

 

 

(d) Give a brief explanation of the type of relationship.

There ▼(Choose one) sufficient evidence to conclude that a significant linear relationship exists between the number of reported cases.

 

 

 

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