a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer ♥ |(please enter a decimal) H1: ? v Select an answer (Please enter a decimal) c. The test statistic ? v |(please show your answer to 3 decimal places.)
a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer ♥ |(please enter a decimal) H1: ? v Select an answer (Please enter a decimal) c. The test statistic ? v |(please show your answer to 3 decimal places.)
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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Question
![You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 68% at a level of significance of \( \alpha = 0.01 \). According to your sample, 31 out of 53 potential voters prefer the Democratic candidate.
a. For this study, we should use \( \text{Select an answer} \)
b. The null and alternative hypotheses would be:
\( H_0: \; ? \; \text{Select an answer} \) (please enter a decimal)
\( H_1: \; ? \; \text{Select an answer} \) (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 \( ? \; \alpha \)
f. Based on this, we should \( \text{Select an answer} \) the null hypothesis.
g. Thus, the final conclusion is that…
- \( \bigcirc \) The data suggest the population proportion is not significantly smaller than 68% at \( \alpha = 0.01 \), so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 68%.
- \( \bigcirc \) The data suggest that the population proportion is not significantly smaller than 68% at \( \alpha = 0.01 \), so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 68%.
- \( \bigcirc \) The data suggest the population proportion is significantly smaller than 68% at \( \alpha = 0.01 \), so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 68%.
h. Interpret the p-value in the context of the study.
- \( \bigcirc \) If the sample proportion of voters who prefer the Democratic candidate is 59% and if another 53 voters are surveyed then there would be a 6.89% chance of concluding that fewer than 68% of all voters surveyed prefer the Democratic candidate.
- \( \bigcirc \) There is a 6.89% chance that fewer than 68% of all voters prefer the Democratic candidate.
- \(](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64061994-5f1c-449d-8fb6-0cc2c5134779%2F0303e856-13b0-4253-a03f-a64008184460%2F7ot96sc_processed.png&w=3840&q=75)
Transcribed Image Text:You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 68% at a level of significance of \( \alpha = 0.01 \). According to your sample, 31 out of 53 potential voters prefer the Democratic candidate.
a. For this study, we should use \( \text{Select an answer} \)
b. The null and alternative hypotheses would be:
\( H_0: \; ? \; \text{Select an answer} \) (please enter a decimal)
\( H_1: \; ? \; \text{Select an answer} \) (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 \( ? \; \alpha \)
f. Based on this, we should \( \text{Select an answer} \) the null hypothesis.
g. Thus, the final conclusion is that…
- \( \bigcirc \) The data suggest the population proportion is not significantly smaller than 68% at \( \alpha = 0.01 \), so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 68%.
- \( \bigcirc \) The data suggest that the population proportion is not significantly smaller than 68% at \( \alpha = 0.01 \), so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 68%.
- \( \bigcirc \) The data suggest the population proportion is significantly smaller than 68% at \( \alpha = 0.01 \), so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 68%.
h. Interpret the p-value in the context of the study.
- \( \bigcirc \) If the sample proportion of voters who prefer the Democratic candidate is 59% and if another 53 voters are surveyed then there would be a 6.89% chance of concluding that fewer than 68% of all voters surveyed prefer the Democratic candidate.
- \( \bigcirc \) There is a 6.89% chance that fewer than 68% of all voters prefer the Democratic candidate.
- \(
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given : n=53 , X=31 , p0=0.68 , α=0.01
The estimate of the sample proportion is ,
p-hat=X/n=31/53=0.5849
Our aim is to answer the following (a) , (b) and (c)
As per our guidelines, we are supposed to answer only 3 sub-parts and rest can be reposted.
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