You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 62% at a level of significance of a = 0.05. According to your sample, 27 out of 50 potential voters prefer the Democratic candidate. a. For this study, we should use [z-test for a population proportion b. The null and alternative hypotheses would be: Ho: pv = 0.62 H₁: p V 0.62 (please enter a decimal) (Please enter a decimal) c. The test statistic z=-1.165 d. The p-value= e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) I(Please show your answer to 4 decimal places.)

College Algebra (MindTap Course List)
12th Edition
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Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is
significantly different from 62% at a level of significance of a = 0.05. According to your sample, 27 out of
50 potential voters prefer the Democratic candidate.
E
a. For this study, we should use [z-test for a population proportion
b. The null and alternative hypotheses would be:
Ho: p=
✓0.62
(please enter a decimal)
H₁: p
(Please enter a decimal)
c. The test statistic z = -1.165 (please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
d. The p-value = Ï
e. The p-value is ? a
f. Based on this, we should Select an answer the null hypothesis.
g. Thus, the final conclusion is that ...
80
F3
O The data suggest the populaton proportion is significantly different from 62% at a = 0.05, so
there is sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is different from 62%
O The data suggest the population proportion is not significantly different from 62% at a = 0.05,
so there is sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is equal to 62%.
O The data suggest the population proportion is not significantly different from 62% at a = 0.05,
so there is not sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is different from 62%.
h. Interpret the p-value in the context of the study.
O There is a 24.38% chance that the percent of all voters who prefer the Democratic candidate
differs from 62%.
O There is a 24.38% chance of a Type I error.
O If the sample proportion of voters who prefer the Democratic candidate is 53% and if another
50 voters are surveyed then there would be a 24.38% chance that we would conclude either
fewer than 62% of all voters prefer the Democratic candidate or more than 62% of all voters
prefer the Democratic candidate.
O If the population proportion of voters who prefer the Democratic candidate is 62% and if
another 50 voters are surveyed then there would be a 24.38% chance that either fewer than
53% of the 50 voters surveyed prefer the Democratic candidate or more than 71% of the 50
voters surveyed prefer the Democratic candidate.
i. Interpret the level of significance in the context of the study.
✓0.62
O If the proportion of voters who prefer the Democratic candidate is different from 62% and if
another 50 voters are surveyed then there would be a 5% chance that we would end up falsely
$
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Transcribed Image Text:Os #3 Microsoft Word -... You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 62% at a level of significance of a = 0.05. According to your sample, 27 out of 50 potential voters prefer the Democratic candidate. E a. For this study, we should use [z-test for a population proportion b. The null and alternative hypotheses would be: Ho: p= ✓0.62 (please enter a decimal) H₁: p (Please enter a decimal) c. The test statistic z = -1.165 (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) d. The p-value = Ï e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... 80 F3 O The data suggest the populaton proportion is significantly different from 62% at a = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 62% O The data suggest the population proportion is not significantly different from 62% at a = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 62%. O The data suggest the population proportion is not significantly different from 62% at a = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 62%. h. Interpret the p-value in the context of the study. O There is a 24.38% chance that the percent of all voters who prefer the Democratic candidate differs from 62%. O There is a 24.38% chance of a Type I error. O If the sample proportion of voters who prefer the Democratic candidate is 53% and if another 50 voters are surveyed then there would be a 24.38% chance that we would conclude either fewer than 62% of all voters prefer the Democratic candidate or more than 62% of all voters prefer the Democratic candidate. O If the population proportion of voters who prefer the Democratic candidate is 62% and if another 50 voters are surveyed then there would be a 24.38% chance that either fewer than 53% of the 50 voters surveyed prefer the Democratic candidate or more than 71% of the 50 voters surveyed prefer the Democratic candidate. i. Interpret the level of significance in the context of the study. ✓0.62 O If the proportion of voters who prefer the Democratic candidate is different from 62% and if another 50 voters are surveyed then there would be a 5% chance that we would end up falsely $ 4 F4 R % 5 F5 T 6 MacBook Air Y & 7 8 ◄◄ F7 C 00 * 8 DII F8 ( 9 DD F9 O ) O
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