You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 78% at a level of significance of αα = 0.05. According to your sample, 71 out of 84 potential voters prefer the Democratic candidate.For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: Ho: ? μ p Select an answer ≠ < > = (please enter a decimal) H1: ? p μ Select an answer = ≠ > < (Please enter a decimal)The test statistic ? z t = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 4 decimal places.)The p-value is ? ≤ > ααBased on this, we should Select an answer reject accept fail to reject the null hypothesis.Thus, the final conclusion is that ...The data suggest the population proportion is not significantly larger than 78% at αα = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 78%.The data suggest the populaton proportion is significantly larger than 78% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 78%The data suggest the population proportion is not significantly larger than 78% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 78%.Interpret the p-value in the context of the study.There is a 7.45% chance of a Type I error.If the population proportion of voters who prefer the Democratic candidate is 78% and if another 84 voters are surveyed then there would be a 7.45% chance that more than 84% of the 84 voters surveyed prefer the Democratic candidate.If the sample proportion of voters who prefer the Democratic candidate is 84% and if another 84 voters are surveyed then there would be a 7.45% chance of concluding that more than 78% of all voters surveyed prefer the Democratic candidate.There is a 7.45% chance that more than 78% of all voters prefer the Democratic candidate.Interpret the level of significance in the context of the study.There is a 5% chance that the proportion of voters who prefer the Democratic candidate is larger than 78%.If the proportion of voters who prefer the Democratic candidate is larger than 78% and if another 84 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 78%.If the population proportion of voters who prefer the Democratic candidate is 78% and if another 84 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 larger than 78%There is a 5% chance that the earth is flat and we never actually sent a man to the moon. SUIncient evidence to conciude that ihe proportion OIpreferto 78%.h. Interpret the p-value in the context of the study.There is a 7.45% chance of a Type I error.OIf the population proportion of voters who prefer the Democratic candidate is 78% and if another 84 votersare surveyed then there would be a 7.45% chance that more than 84% of the 84 voters surveyed prefer theDemocratic candidate.If the sample proportion of voters who prefer the Democratic candidate is 84% and if another 84 voters aresurveyed then there would be a 7.45% chance of concluding that more than 78% of all voters surveyedprefer the Democratic candidate.OThere is a 7.45% chance that more than 78% of all voters prefer the Democratic candidate.i. Interpret the level of significance in the context of the study.There is a 5% chance that the proportion of voters who prefer the Democratic candidate is larger than 78%.If the proportion of voters who prefer the Democratic candidate is larger than 78% and if another 84 votersare surveyed then there would be a 5% chance that we would end up falsely concluding that the proportionof voters who prefer the Democratic candidate is equal to 78%.If the population proportion of voters who prefer the Democratic candidate is 78% and if another 84 votersare surveyed then there would be a 5% chance that we would end up falsely concluding that the proportionof voters who prefer the Democratic candidate is larger than 78%There is a 5% chance that the earth is flat and we never actually sent a man to the moon.Hint:HelpHelpful Videos: Calculations [+] Setup [+] Interpretations 2 [+]

From the provided information, Population proportion (p) = 0.78 Sample size (n) = 84 Out of which 71 voters prefer the Democratic candidate that is x = 71 Sample proportion (p̂) = 71/84 = 0.84521) For this study, we should use z-test for a population proportion. 2) The hypotheses can be constructed as: Null hypothesis H0: p = 0.78 Alternative hypothesis H1: p > 0.78 Level of significance (α) = 0.05 The value of the test statistic can be obtained as:The p value of the test statistic from the standard normal table is 0.0745. Since, the p values is greater than (>) level of significance (α). Based on this we should fail to reject the null hypothesis. The data suggest the population proportion is not significantly larger than 78% at α = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 78%.

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 78% at a level of significance of αα = 0.05. According to your sample, 71 out of 84 potential voters prefer the Democratic candidate. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: Ho: ? μ p Select an answer ≠ < > = (please enter a decimal) H1: ? p μ Select an answer = ≠ > < (Please enter a decimal) The test statistic ? z t = (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 Select an answer reject accept fail to reject the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger than 78% at αα = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 78%. The data suggest the populaton proportion is significantly larger than 78% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 78% The data suggest the population proportion is not significantly larger than 78% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 78%.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 78% at a level of significance of αα = 0.05. According to your sample, 71 out of 84 potential voters prefer the Democratic candidate.

For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
The null and alternative hypotheses would be:
Ho: ? μ p Select an answer ≠ < > = (please enter a decimal)
H₁: ? p μ Select an answer = ≠ > < (Please enter a decimal)

The test statistic ? z t = (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 Select an answer reject accept fail to reject the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the population proportion is not significantly larger than 78% at αα = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 78%.
- The data suggest the populaton proportion is significantly larger than 78% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 78%
- The data suggest the population proportion is not significantly larger than 78% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 78%.
Interpret the p-value in the context of the study.
- There is a 7.45% chance of a Type I error.
- If the population proportion of voters who prefer the Democratic candidate is 78% and if another 84 voters are surveyed then there would be a 7.45% chance that more than 84% of the 84 voters surveyed prefer the Democratic candidate.
- If the sample proportion of voters who prefer the Democratic candidate is 84% and if another 84 voters are surveyed then there would be a 7.45% chance of concluding that more than 78% of all voters surveyed prefer the Democratic candidate.
- There is a 7.45% chance that more than 78% of all voters prefer the Democratic candidate.
Interpret the level of significance in the context of the study.
- There is a 5% chance that the proportion of voters who prefer the Democratic candidate is larger than 78%.
- If the proportion of voters who prefer the Democratic candidate is larger than 78% and if another 84 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 78%.
- If the population proportion of voters who prefer the Democratic candidate is 78% and if another 84 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 larger than 78%
- There is a 5% chance that the earth is flat and we never actually sent a man to the moon.

SUIncient evidence to conciude that ihe proportion OI
prefer
to 78%.
h. Interpret the p-value in the context of the study.
There is a 7.45% chance of a Type I error.
OIf the population proportion of voters who prefer the Democratic candidate is 78% and if another 84 voters
are surveyed then there would be a 7.45% chance that more than 84% of the 84 voters surveyed prefer the
Democratic candidate.
If the sample proportion of voters who prefer the Democratic candidate is 84% and if another 84 voters are
surveyed then there would be a 7.45% chance of concluding that more than 78% of all voters surveyed
prefer the Democratic candidate.
OThere is a 7.45% chance that more than 78% of all voters prefer the Democratic candidate.
i. Interpret the level of significance in the context of the study.
There is a 5% chance that the proportion of voters who prefer the Democratic candidate is larger than 78%.
If the proportion of voters who prefer the Democratic candidate is larger than 78% and if another 84 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 78%.
If the population proportion of voters who prefer the Democratic candidate is 78% and if another 84 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 larger than 78%
There is a 5% chance that the earth is flat and we never actually sent a man to the moon.
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