Question

In: Statistics and Probability

The mayor of a town has proposed a plan for the annexation of a new community....

The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 800 voters in the town and found that 60% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 55%. Determine the P-value of the test statistic. Round your answer to four decimal places.

Solutions

Expert Solution

Null hypothesis  
H0: P = 0.55          
              
Alternative hypothesis

H1: P > 0.55              
              
We have for given example,              
Population proportion value is =0.55          
x=480          
              
n=800          
      
Estimate for sample proportion = 0.6          
              
Z test statistic formula for proportion



P value is 0.0022................by using Excel command 1-NORMSDIST(2.843) or by using Z table.      

   
              
              

orchestra answered 2 years ago
Next > < Previous

Related Solutions

The mayor of a town has proposed a plan for the annexation of a new community....
The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 1600 voters in the town and found that 50% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is less than 53%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Step 4 of 7 :   Determine...
The mayor of a town has proposed a plan for the annexation of a new community....
The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 900 voters in the town and found that 40% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 36%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim? Step 1 of 6 : State...
The mayor of a town has proposed a plan for the annexation of a new community....
The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 1600 voters in the town and found that 68% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is over 65% . Determine the P-value of the test statistic. Round your answer to four decimal places.
The mayor of a town has proposed a plan for the annexation of a new bridge....
The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 900 voters in the town and found that 66% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is over 62%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Step 1 of 6: State the null...
The mayor of a town has proposed a plan for the annexation of an adjoining bridge....
The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%. Determine the P-value of the test statistic. Round your answer to four decimal places.
The mayor of a town has proposed a plan for the construction of a new community....
The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 1000 voters in the town and found that 69% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 65%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Step 1 of 6: State the...
The mayor of a town has proposed a plan for the construction of a new community....
The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 900 voters in the town and found that 75% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 72%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim?
The mayor of a town has proposed a plan for the construction of a new community....
The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 1700 voters in the town and found that 73% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 70%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim? Step 1 of 7: State the...
The mayor of a town has proposed a plan for the construction of an adjoining community....
The mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 12001200 voters in the town and found that 26%26% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is not equal to 29%29%. Testing at the 0.050.05 level, is there enough evidence to support the strategist's claim? Step 1 of 7: State...
The mayor of a town has proposed a plan for the construction of an adjoining community....
The mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 1400 1400 voters in the town and found that 61% 61 % of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is not equal to 64% 64 % . Testing at the 0.01 0.01 level, is there enough evidence to support the...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT