A news article that you read stated that 54% of voters prefer the Democratic candidate. You think that theactual percent is larger. 129 of the 212 voters that you surveyed said that they prefer the Democraticcandidate. What can be concluded at the 0.10 level of significance?a. For this study, we should use Select an answerb. The null and alternative hypotheses would be:Ho: ? v| Select an answer v(please enter a decimal)H1:|? v|| Select an answer v(Please enter a decimal)c. The test statistic ? v(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 ? v af. Based on this, we should Select an answer v the null hypothesis.g. Thus, the final conclusion is that ...O The data suggest the population proportion is not significantly larger 54% at a = 0.10, so thereis sufficient evidence to conclude that the proportion of voters who prefer the Democraticcandidate is equal to 54%.O The data suggest the populaton proportion is significantly larger 54% at a = 0.10, so there issufficient evidence to conclude that the proportion of voters who prefer the Democraticcandidate is larger 54%O The data suggest the population proportion is not significantly larger 54% at a = 0.10, so thereis not sufficient evidence to conclude that the proportion of voters who prefer the Democraticcandidate is larger 54%.h. Interpret the p-value in the context of the study.O There is a 2.27% chance that more than 54% of all voters prefer the Democratic candidate.OIf the sanmple proportion of voters who prefer the Democratic candidate is 61% and if another212 voters are surveyed then there would be a 2.27% chance of concluding that more than 54%of all voters surveyed prefer the Democratic candidate.

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Description: A news article that you read stated that 54% of voters prefer the Democratic candidate. You think that theactual percent is larger. 129 of the 212 voters that you surveyed said that they prefer the Democraticcandidate. What can be concluded at the 0

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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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A news article that you read stated that 54% of voters prefer the Democratic candidate. You think that the
actual percent is larger. 129 of the 212 voters that you surveyed said that they prefer the Democratic
candidate. What can be concluded at the 0.10 level of significance?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho: ? v| Select an answer v
(please enter a decimal)
H1:|? v|| Select an answer v
(Please enter a decimal)
c. The test statistic ? v
(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 ? v a
f. Based on this, we should Select an answer v the null hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest the population proportion is not significantly larger 54% at a = 0.10, so there
is sufficient evidence to conclude that the proportion of voters who prefer the Democratic
candidate is equal to 54%.
O The data suggest the populaton proportion is significantly larger 54% at a = 0.10, so there is
sufficient evidence to conclude that the proportion of voters who prefer the Democratic
candidate is larger 54%
O The data suggest the population proportion is not significantly larger 54% at a = 0.10, so there
is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic
candidate is larger 54%.
h. Interpret the p-value in the context of the study.
O There is a 2.27% chance that more than 54% of all voters prefer the Democratic candidate.
OIf the sanmple proportion of voters who prefer the Democratic candidate is 61% and if another
212 voters are surveyed then there would be a 2.27% chance of concluding that more than 54%
of all voters surveyed prefer the Democratic candidate.

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Hey, since there are multiple subparts posted, we will answer first three question. If you want any specific question to be answered then please submit that question only or specify the question number in your message.

(a)

If np≥10 and n(1-p)≥10, then the p-value of the test is computed by using the standard normal distribution.

Condition 1:

$\begin{array}{rcl} n p & = & 212 (0.54) \\ = & 114.48 \\ > & 10 \end{array}$

Condition 2:

$\begin{array}{rcl} n (1 - p) & = & 212 (1 - 0.54) \\ = & 97.52 \\ > & 10 \end{array}$

Here, the value of np≥10 and n(1–p)≥10 is greater than 10. Hence, the sample size is sufficiently large enough for the Central Limit Theorem to apply. Thus, the p-value of the test is computed by using the standard normal distribution. Hence, for this study use normal distribution.

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