A news article that you read stated that 55% of voters prefer the Democratic candidate. You think that the actual percent is larger. 116 of the 207 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.10 level of significance?

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 populaton proportion is significantly larger 55% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger 55%

The data suggest the population proportion is not significantlylarger 55% at αα = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger 55%.

The data suggest the population proportion is not significantlylarger 55% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 55%.

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

If the population proportion of voters who prefer the Democratic candidate is 55% and if another 207 voters are surveyed then there would be a 38.19% chance that more than 56% of the 207 voters surveyed prefer the Democratic candidate.

There is a 38.19% chance of a Type I error.

There is a 38.19% chance that more than 55% of all voters prefer the Democratic candidate.

If the sample proportion of voters who prefer the Democratic candidate is 56% and if another 207 voters are surveyed then there would be a 38.19% chance of concluding that more than 55% of all voters surveyed prefer the Democratic candidate.

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

There is a 10% chance that the proportion of voters who prefer the Democratic candidate is larger 55%.

If the proportion of voters who prefer the Democratic candidate is larger 55% and if another 207 voters are surveyed then there would be a 10% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 55%.

There is a 10% chance that the earth is flat and we never actually sent a man to the moon.

If the population proportion of voters who prefer the Democratic candidate is 55% and if another 207 voters are surveyed then there would be a 10% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is larger 55%

Question

A news article that you read stated that 55% of voters prefer the Democratic candidate. You think that the actual percent is larger. 116 of the 207 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.10 level of significance?

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 populaton proportion is significantly larger 55% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger 55%
- The data suggest the population proportion is not significantlylarger 55% at αα = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger 55%.
- The data suggest the population proportion is not significantlylarger 55% at αα = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 55%.
Interpret the p-value in the context of the study.
- If the population proportion of voters who prefer the Democratic candidate is 55% and if another 207 voters are surveyed then there would be a 38.19% chance that more than 56% of the 207 voters surveyed prefer the Democratic candidate.
- There is a 38.19% chance of a Type I error.
- There is a 38.19% chance that more than 55% of all voters prefer the Democratic candidate.
- If the sample proportion of voters who prefer the Democratic candidate is 56% and if another 207 voters are surveyed then there would be a 38.19% chance of concluding that more than 55% of all voters surveyed prefer the Democratic candidate.
Interpret the level of significance in the context of the study.
- There is a 10% chance that the proportion of voters who prefer the Democratic candidate is larger 55%.
- If the proportion of voters who prefer the Democratic candidate is larger 55% and if another 207 voters are surveyed then there would be a 10% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 55%.
- There is a 10% chance that the earth is flat and we never actually sent a man to the moon.
- If the population proportion of voters who prefer the Democratic candidate is 55% and if another 207 voters are surveyed then there would be a 10% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is larger 55%

Accepted Answer

We have given that 
Sample size n =207
Favorable cases x =116
Sample proportion p^=x/n 
=116/207…