Question

A news article that you read stated that 51% of voters prefer the Democratic candidate. You think that the actual percent is smaller. 127 of the 260 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.01 level of significance?

a). For this study, we should use _____________

b). The null and alternative hypotheses would be:

Ho: (please enter a decimal)

H1: (Please enter a decimal)

c). The test statistic = (please show your answer to 3 decimal places.)

d). The p-value = (Please show your answer to 4 decimal places.)

e). The p-value is___ α

f). Based on this, we should ________ the null hypothesis.

g). Thus, the final conclusion is that ...

o The data suggest the population proportion is not significantly smaller 51% at α = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 51%.

o The data suggest the population proportion is significantly smaller 51% at α = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller 51%

o The data suggest the population proportion is not significantly smaller 51% at α = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller 51%.

h. Interpret the p-value in the context of the study.

o There is a 24.36% chance that fewer than 51% of all voters prefer the Democratic candidate.

o If the population proportion of voters who prefer the Democratic candidate is 51% and if another 260 voters are surveyed then there would be a 24.36% chance fewer than 49% of the 260 voters surveyed prefer the Democratic candidate.

o There is a 51% chance of a Type I error.

o If the sample proportion of voters who prefer the Democratic candidate is 49% and if another 260 voters are surveyed then there would be a 24.36% chance of concluding that fewer than 51% of all voters surveyed prefer the Democratic candidate.

i). Interpret the level of significance in the context of the study.

o There is a 1% chance that the proportion of voters who prefer the Democratic candidate is smaller 51%.

o If the population proportion of voters who prefer the Democratic candidate is 51% and if another 260 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is smaller 51%

o If the proportion of voters who prefer the Democratic candidate is smaller 51% and if another 260 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 51%.

o There is a 1% chance that the earth is flat and we never actually sent a man to the moon.

Answer 1

Here te haue to et single o potion uie -Proportion Z tel hejet re t's r-value is greater than nall hypothesis e shoal faito reject the ul hyp therts