Question

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

The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 1600 voters in the town and found that 52% 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 49%. Determine the P-value of the test statistic. Round your answer to four decimal places.

Homework Answers

Answer #1

Solution :

This is the right tailed test .

The null and alternative hypothesis is

H0 : p =0.49

Ha : p >0.49

= 0.52

P0 = 0.49

1 - P0 = 1-0.49=0.51

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

= 0.52-0.49/ [(0.49*051) / 1600]  

Z= 2.40

P(z > 2.40 ) = 1 - P(z < 2.40) =1-0.9918=0.0082

P-value = 0.0082

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The mayor of a town has proposed a plan for the annexation of an adjoining community....
The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 1400 voters in the town and found that 75% 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 72%. Make the decision to reject or fail to reject the null hypothesis at the 0.02 level
The mayor of a town has proposed a plan for the annexation of an adjoining community....
The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 1000 voters in the town and found that 61% 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 57%. Make the decision to reject or fail to reject the null hypothesis at the 0.10 level.
The mayor of a town has proposed a plan for the annexation of an adjoining community....
The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 1200 voters in the town and found that 75% 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 72%. Determine the decision rule for rejecting the null hypothesis, H0, at the 0.10 level.
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 1000 voters in the town and found that 53%53% 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 49%. 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 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 900 voters in the town and found that 46% 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 43%. 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 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 900 voters in the town and found that 35% of the residents favored annexation. Using the data, a political strategist wants to claim that the percentage of residents who favor annexation is not equal to 38%. Testing at the 0.05 level, is there enough evidence to support the strategist claim? State the null and alternative hypothesis. Find...
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 53% 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 49%. Determine the decision rule for rejecting the null hypothesis, H0, at the 0.01 level.
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 900 voters in the town and found that 42% 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 not equal to 46%. Testing at the 0.05 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 bridge....
The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 1100 voters in the town and found that 81% 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 above 78%. Find the value of the test statistic. Round your answer to two decimal places.
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 1000 voters in the town and found that 44% 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 40%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? Step 1: State the null and...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT