You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 71% at a level of significance of αα = 0.01. According to your sample, 41 out of 58 potential voters prefer the Democratic candidate.

For this study, we should use

The null and alternative hypotheses would be:
Ho:            (please enter a decimal)
H₁:            (Please enter a decimal)

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

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

The p-value is     αα

Based on this, we should      the null hypothesis.

Thus, the final conclusion is that ...

The data suggest the population proportion is not significantly different from 71% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 71%.

The data suggest the population proportion is not significantly different from 71% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 71%.

The data suggest the populaton proportion is significantly different from 71% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 71%

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

There is a 95.84% chance of a Type I error.

If the sample proportion of voters who prefer the Democratic candidate is 70% and if another 58 voters are surveyed then there would be a 95.84% chance that we would conclude either fewer than 71% of all voters prefer the Democratic candidate or more than 71% of all voters prefer the Democratic candidate.

There is a 95.84% chance that the percent of all voters who prefer the Democratic candidate differs from 71%.

If the population proportion of voters who prefer the Democratic candidate is 71% and if another 58 voters are surveyed then there would be a 95.84% chance that either fewer than 70% of the 58 voters surveyed prefer the Democratic candidate or more than 72% of the 58 voters surveyed prefer the Democratic candidate.

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

If the proportion of voters who prefer the Democratic candidate is different from 71% and if another 58 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 71%.

If the population proportion of voters who prefer the Democratic candidate is 71% and if another 58 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 different from 71%

There is a 1% chance that the proportion of voters who prefer the Democratic candidate is different from 71%.

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

Question

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 71% at a level of significance of αα = 0.01. According to your sample, 41 out of 58 potential voters prefer the Democratic candidate.

For this study, we should use
The null and alternative hypotheses would be:
Ho: (please enter a decimal)
H₁: (Please enter a decimal)

The test statistic = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 4 decimal places.)
The p-value is αα
Based on this, we should the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the population proportion is not significantly different from 71% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 71%.
- The data suggest the population proportion is not significantly different from 71% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 71%.
- The data suggest the populaton proportion is significantly different from 71% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 71%
Interpret the p-value in the context of the study.
- There is a 95.84% chance of a Type I error.
- If the sample proportion of voters who prefer the Democratic candidate is 70% and if another 58 voters are surveyed then there would be a 95.84% chance that we would conclude either fewer than 71% of all voters prefer the Democratic candidate or more than 71% of all voters prefer the Democratic candidate.
- There is a 95.84% chance that the percent of all voters who prefer the Democratic candidate differs from 71%.
- If the population proportion of voters who prefer the Democratic candidate is 71% and if another 58 voters are surveyed then there would be a 95.84% chance that either fewer than 70% of the 58 voters surveyed prefer the Democratic candidate or more than 72% of the 58 voters surveyed prefer the Democratic candidate.
Interpret the level of significance in the context of the study.
- If the proportion of voters who prefer the Democratic candidate is different from 71% and if another 58 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 71%.
- If the population proportion of voters who prefer the Democratic candidate is 71% and if another 58 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 different from 71%
- There is a 1% chance that the proportion of voters who prefer the Democratic candidate is different from 71%.
- There is a 1% chance that the earth is flat and we never actually sent a man to the moon.

Accepted Answer

As per Bartleby guideline expert have to answer first question three subparts only dear student…