Which equation could represent the data in the table?
1 answer:
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Complete Question
An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "Don't care." On a particular day, the results of a question were tallied. In all, 636 said "Yes, " another 595 said "No, " and the remaining 93 indicated that they were not sure.
a)
What is the sample size for this poll?
b)
Compute the percent of responses in each of the possible response categories. (Round your answers to two decimal places.)
c)
Discuss the poll in terms of the population and sample framework that we have studied in this chapter.
i)
This random sample of responses collects the opinions of a random group of users across all users of the Internet.
ii)
This voluntary response sample collects only the opinions of those that visit this site every day.
iii)
This random sample of responses collects the opinions of a random group of users of the particular site.
iv)
This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.
Answer:
a
b
YES
NO
NOT SURE
c
The correct option is (iv)
Step-by-step explanation:
From the question we are told that
The voting options are "Yes, " "No, " "Not sure, " or "Don't care."
The number of people that said is
The number of people that said No is
The number that indicated Not sure is
Generally the sample size is mathematically represented as
=>
=>
Generally the percentage of responses that was Yes is mathematically represented as
=>
Generally the percentage of responses that was No is mathematically represented as
Generally the percentage of responses that was Not sure is mathematically represented as
This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.
Answer:
1) Random: A random sample needs to be obtained in order to apply inference for the mean
2) Normality condition: The sampling distribution of needs to be approximately normal. If we use a random sample size higher than 30 we can use the Central Limit theorem to verify this condition.
3) Independence: All the individual observations need to be independent. And we need to satisfy that our sample would be lower than 10% of the real population size.
Step-by-step explanation:
For this case we need three conditions:
1) Random: A random sample needs to be obtained in order to apply inference for the mean
2) Normality condition: The sampling distribution of needs to be approximately normal. If we use a random sample size higher than 30 we can use the Central Limit theorem to verify this condition.
3) Independence: All the individual observations need to be independent. And we need to satisfy that our sample would be lower than 10% of the real population size.
Data given and notation
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We can assume the following system of hypothesis.
Null hypothesis:
Alternative hypothesis :
The degrees of freedom on this case:
Compute the test statistic
The statistic for this case is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".