You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 66% at a level of significance of a = 0.10. According to your sample, 71 out of 97 potential voters prefer the Democratic candidate. a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? (please enter a decimal) H1: ? (Please enter a decimal) c. The test statistic ? (please show your answer to 3 decimal places.)

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You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly ing
different from 66% at a level of significance of a = 0.10. According to your sample, 71 out of 97 potential voters
prefer the Democratic candidate.
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Но: ?
(please enter a decimal)
H1: ?
(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 ?
f. Based on this, we should Select an answer
E the null hypothesis.
g. Thus, the final conclusion is that...
O The data suggest the populaton proportion is significantly different from 66% at a = 0.10, so there
is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate
is different from 66%
The data suggest the population proportion is not significantly different from 66% at a = 0.10, so
there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic
candidate is different from 66%.
O The data suggest the population proportion is not significantly different from 66% at a = 0.10, so
there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic
candidate is equal to 66%.
h. Interpret the p-value in the context of the study.
There is a 13.46% chance ofa Type I error.
If the population proportion of voters who prefer the Democratic candidate is 66% and if another 97
voters are surveyed then there would be a 13.46% chance that either more than 73% of the 97 voters
surveyed prefer the Democratic candidate or fewer than 59% of the 97 voters surveyed prefer the
Democratic candidate.
O There is a 13.46% chance that the percent of all voters who prefer the Democratic candidate differs
from 66%.
O If the sample proportion of voters who prefer the Democratic candidate is 73% and if another 97
voters are surveyed then there would be a 13.46% chance that we would conclude either fewer than
66% of all voters prefer the Democratic candidate or more than 66% of all voters prefer the
Democratic candidate.
i. Interpret the level of significance in the context of the study.
F11
F12
F9
F10
Transcribed Image Text:You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly ing different from 66% at a level of significance of a = 0.10. According to your sample, 71 out of 97 potential voters prefer the Democratic candidate. a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: ? (please enter a decimal) H1: ? (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 ? f. Based on this, we should Select an answer E the null hypothesis. g. Thus, the final conclusion is that... O The data suggest the populaton proportion is significantly different from 66% at a = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 66% The data suggest the population proportion is not significantly different from 66% at a = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 66%. O The data suggest the population proportion is not significantly different from 66% at a = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 66%. h. Interpret the p-value in the context of the study. There is a 13.46% chance ofa Type I error. If the population proportion of voters who prefer the Democratic candidate is 66% and if another 97 voters are surveyed then there would be a 13.46% chance that either more than 73% of the 97 voters surveyed prefer the Democratic candidate or fewer than 59% of the 97 voters surveyed prefer the Democratic candidate. O There is a 13.46% chance that the percent of all voters who prefer the Democratic candidate differs from 66%. O If the sample proportion of voters who prefer the Democratic candidate is 73% and if another 97 voters are surveyed then there would be a 13.46% chance that we would conclude either fewer than 66% of all voters prefer the Democratic candidate or more than 66% of all voters prefer the Democratic candidate. i. Interpret the level of significance in the context of the study. F11 F12 F9 F10
Expert Solution
Step 1

Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved.

a.

A study is conducted to determine whether the proportion of voters who prefer Democratic candidate is significantly different from p=0.66. A sample of 97 voters is considered in which 71 have preferred Democratic candidate.

Since the sample proportion is to be compared with population proportion, one sample proportion z test has to be used for testing.

Thus, for this study, we should use one sample proportion z test.

 

Step 2

b.

Let p denote the population proportion of voters who prefer Democratic candidate. About 66% of the voters prefer Democratic candidate.

Null hypothesis:

 H0 : p=0.66

Alternative hypothesis:

H1 : p0.66

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