In 2001, the polls found that 81% of American adults believed that there was a conspiracy in the death of President Kennedy. Assume a recent poll asked 1740 American adults if they believe there was a conspiracy in the assassination and it found that 1374 believe there was a conspiracy. Does the data show that the proportion of Americans who believe in this conspiracy is now lower? Test at the 5% level.P: PARAMETER What is the correct parameter symbol for this problem? What is the wording of the parameter in the context of this problem? H: HYPOTHESES Fill in the correct null and alternative hypotheses: 𝐻0: 𝐻𝐴: A: ASSUMPTIONS Since information was collected from each object, what conditions do we need to check? Check all that apply. 𝑛(𝑝̂)≥10𝑁≥20𝑛𝑛𝑝≥10𝑛(1-𝑝)≥10𝑛(1-𝑝̂)≥10σσ is known.𝑛≥30 or normal population.σσ is unknown. Check those assumptions: 1. 𝑛𝑝 = which is 2. 𝑛(1-𝑝) = which is 3. 𝑁 = which is If no N is given in the problem, use 1000000N: NAME THE PROCEDURE The conditions are met to use a .T: TEST STATISTIC The symbol and value of the random variable on this problem are as follows: Leave this answer as a fraction. = The formula set up of the test statistic is as follows.: (Leave any values that were given as fractions as fractions) 𝑧=𝑝̂-𝑝𝑝(1-𝑝)𝑛=( - )/(( ⋅(1- )) / ) Final answer for the test statistic from technology. Round to 2 decimal places: z = O: OBTAIN THE P-VALUE Report to 4 decimal places. It is possible when rounded that a p-value is 0.0000 P-value = M: MAKE A DECISION Since the p-value , we .S: STATE A CONCLUSION There significant evidence to conclude
Question
In 2001, the polls found that 81% of American adults believed that there was a conspiracy in the death of President Kennedy. Assume a recent poll asked 1740 American adults if they believe there was a conspiracy in the assassination and it found that 1374 believe there was a conspiracy. Does the data show that the proportion of Americans who believe in this conspiracy is now lower? Test at the 5% level.P: PARAMETER What is the correct parameter symbol for this problem? What is the wording of the parameter in the context of this problem? H: HYPOTHESES Fill in the correct null and alternative hypotheses: 𝐻0: 𝐻𝐴: A: ASSUMPTIONS Since information was collected from each object, what conditions do we need to check? Check all that apply. 𝑛(𝑝̂)≥10𝑁≥20𝑛𝑛𝑝≥10𝑛(1-𝑝)≥10𝑛(1-𝑝̂)≥10σσ is known.𝑛≥30 or normal population.σσ is unknown. Check those assumptions: 1. 𝑛𝑝 = which is 2. 𝑛(1-𝑝) = which is 3. 𝑁 = which is If no N is given in the problem, use 1000000N: NAME THE PROCEDURE The conditions are met to use a .T: TEST STATISTIC The symbol and value of the random variable on this problem are as follows: Leave this answer as a fraction. = The formula set up of the test statistic is as follows.: (Leave any values that were given as fractions as fractions) 𝑧=𝑝̂-𝑝𝑝(1-𝑝)𝑛=( - )/(( ⋅(1- )) / ) Final answer for the test statistic from technology. Round to 2 decimal places: z = O: OBTAIN THE P-VALUE Report to 4 decimal places. It is possible when rounded that a p-value is 0.0000 P-value = M: MAKE A DECISION Since the p-value , we .S: STATE A CONCLUSION There significant evidence to conclude
Solution
P: PARAMETER
- The correct parameter symbol for this problem is .
- The wording of the parameter in the context of this problem is: the proportion of American adults who believe there was a conspiracy in the assassination of President Kennedy.
H: HYPOTHESES
- Null hypothesis ():
- Alternative hypothesis ():
A: ASSUMPTIONS
- Since information was collected from each object, the conditions we need to check are:
- Check those assumptions:
- , which is greater than 10.
- , which is greater than 10.
- , which is greater than .
N: NAME THE PROCEDURE
- The conditions are met to use a one-sample z-test for proportions.
T: TEST STATISTIC
- The symbol and value of the random variable on this problem are as follows:
- The formula setup of the test statistic is as follows:
- Final answer for the test statistic from technology:
- (rounded to 2 decimal places)
O: OBTAIN THE P-VALUE
- Report to 4 decimal places:
- P-value = 0.0694
M: MAKE A DECISION
- Since the p-value (0.0694) is greater than the significance level (0.05), we fail to reject the null hypothesis.
S: STATE A CONCLUSION
- There is not significant evidence to conclude that the proportion of Americans who believe in the conspiracy is now lower than 81%.
Similar Questions
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