Alberto conducted an experiment by rolling a fair six-sided number cube 60 times. He rolled a 2 fifteen times. Which statement a
2 answers:
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Answer:
number of successes
number of failure
The criteria are met
A
The sample proportion is
B
C
What this mean is that for N number of times the survey is carried out that the which sample proportion obtain will differ from the true population proportion will not more than 4.4%
Ci
D
This 95% confidence interval mean that the the chance of the true population proportion of those that are happy to be exist within the upper and the lower limit is 95%
E
Given that 50% of the population proportion lie with the 95% confidence interval the it correct to say that it is reasonably likely that a majority of U.S. adults were happy at that time
F
Yes our result would support the claim because
Step-by-step explanation:
From the question we are told that
The sample size is
The sample proportion is
Generally the number of successes is mathematical represented as
substituting values
Generally the number of failure is mathematical represented as
substituting values
for approximate normality for a confidence interval criteria to be satisfied
Given that the above is true for this survey then we can say that the criteria are met
Given that the confidence level is 95% then the level of confidence is mathematically evaluated as
Next we obtain the critical value of from the normal distribution table, the value is
Generally the margin of error is mathematically represented as
substituting values
=>
What this mean is that for N number of times the survey is carried out that the proportion obtain will differ from the true population proportion of those that are happy by more than 4.4%
The 95% confidence interval is mathematically represented as
substituting values
The upper limit of the 95% confidence interval is
The lower limit of the 95% confidence interval is
This 95% confidence interval mean that the the chance of the true population proportion of those that are happy to be exist within the upper and the lower limit is 95%
Given that 50% of the population proportion lie with the 95% confidence interval the it correct to say that it is reasonably likely that a majority of U.S. adults were happy at that time
Yes our result would support the claim because
General Idea:
To create a dot plot for a set of data we should list the data from lowest to greatest number. Then create a number line which covers all the numbers given in the data. We need to plot number of circles one above as many times based on the frequency of the data.
Applying the concept:
33, 36, 31, 37, 37, 38, 31, 37, 35, 31, 38, 32, 36, 33, 38
Listing the data in ascending order we get
31, 31, 31, 32, 33, 33, 35, 36, 36, 37, 37, 37, 38, 38, 38
We need to plot <u>three </u>circles above 31, <u>one</u> circle above 32, <u>two</u> circles above 33, <u>one</u> above 35, <u>two </u>above 36, <u>three </u>above 37, and <u>three</u> above 38.
Conclusion:
Out of the four options, the <u>correct option is B </u>because that is the only dot plot representing the given set of data.
