A pair of dice is rolled. What is the probability that the sum of the two dice will be greater than 8 given that the first die r
2 answers:
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Answer:
Friend A
Friend B
Friend C
So then the best solution for this case would be:
-3.47 (100 out of 400; 25%), -3.80 (20 out of 120; 16.7%), -4.17 (65 out of 300; 21.7%)
Step-by-step explanation:
Data given and notation
n represent the random sample taken
X represent the number of scissors selected for each friend
estimated proportion of scissors selected for each friend
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the proportion that the friend will pick scissors is less than 1/3 or 0.333, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Friend A
Friend B
Friend C
So then the best solution for this case would be:
-3.47 (100 out of 400; 25%), -3.80 (20 out of 120; 16.7%), -4.17 (65 out of 300; 21.7%)