Method p: event proportion Exact method is used for this analysis. Descriptive Statistics N Event Sample p 50% CI for p 30 10 0.333333 (0.263845, 0.411238) Test Null hypothesis H₀: p = 0.5 Alternative hypothesis H₁: p ≠ 0.5 P-Value 0.099 These are math questions 1. How did we determine that this was a right tailed test? 2. What was your critical value? In what case would you have 2 critical values? 3 What was your test statistic? How many formulas are there for test statistics? How do you determine which to use for a specific problem?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Method
|
p: event proportion |
|
Exact method is used for this analysis. |
|
N |
Event |
Sample p |
50% CI for p |
|
30 |
10 |
0.333333 |
(0.263845, 0.411238) |
Test
|
Null hypothesis |
H₀: p = 0.5 |
|
|
Alternative hypothesis |
H₁: p ≠ 0.5 |
|
|
P-Value |
||
|
0.099 |
||
These are math questions
1. How did we determine that this was a right tailed test?
2. What was your critical value? In what case would you have 2 critical values?
3 What was your test statistic? How many formulas are there for test statistics? How do you determine which to use for a specific problem?
4. What is your p-value? How does it compare to your level of significance?
5. What was your verdict? Did you decide to REJECT the NULL HYPOTHESIS or FAIL to REJECT the NULL HYPOTHESIS? How did you make that determination?
6. Which of the following would be your concluding statement:
a. There is enough evidence at the 5% level of significance to accept the claim that more than 50% of Americans prefer Pepsi products.
b. There is enough evidence at the 5% level of significance to reject the claim that more than 50% of Americans prefer Pepsi products.
c. There is not enough evidence at the 5% level of significance to accept the claim that more than 50% of Americans prefer Pepsi products.
d. There is not enough evidence at the 5% level of significance to reject the claim that more than 50% of Americans prefer Pepsi products.
7. why did you choose either a, b, c, or d?
Please answer and show how you solve. Thank you
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