Reference no: EM132340638

A news article that you read stated that 54% of voters prefer the Democratic candidate. You think that the actual percent is different. 122 of the 230 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance?

a.) For this study, we should use the z-test or t-test?

b.) The null and alternative hypotheses would be:   

H₀:____ ___ ____ (please enter a decimal)

H₁:____ ___ ____(please enter a decimal)

c.) The test statistic____=_____please show to three decimal places

d.) the p-value =_____ please show to 4 decimal places

f.) Based on this, we should either reject, accept or fail to reject the null hypothesis?

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

1.) The data suggest the population proportion is not significantly different 54% at α = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different 54%.

2.) The data suggest the populaton proportion is significantly different 54% at α= 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different 54%

3.) The data suggest the population proportion is not significantly different 54% at α = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 54%.

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

1.) There is a 77.1% chance that the percent of all voters who prefer the Democratic candidate differs from 54%.

2.) There is a 77.1% chance of a Type I error.

3.) If the sample proportion of voters who prefer the Democratic candidate is 53% and if another 230 voters are surveyed then there would be a 77.1% chance that we would conclude either fewer than 54% of all voters prefer the Democratic candidate or more than 54% of all voters prefer the Democratic candidate.

4.) If the population proportion of voters who prefer the Democratic candidate is 54% and if another 230 voters are surveyed then there would be a 77.1% chance that either fewer than 53% of the 230 voters surveyed prefer the Democratic candidate or more than 55% of the 230 voters surveyed prefer the Democratic candidate.

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

1.) There is a 5% chance that the proportion of voters who prefer the Democratic candidate is different 54%.

2.) If the population proportion of voters who prefer the Democratic candidate is 54% and if another 230 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is different 54%

3.) There is a 5% chance that the earth is flat and we never actually sent a man to the moon.

4.) If the proportion of voters who prefer the Democratic candidate is different 54% and if another 230 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 54%.