Davis has 141 figures in his action figure collection. One-third of the figures are sports related. How many of the figures in D
1 answer:
We have been given that Davis has 141 figures in his action figure collection. One-third of the figures are sports related.
To find the number of figures that are not sports related we will find 2/3 of 141 as 2/3 of the figures will be not related to sports.
Therefore, 94 figures in Davis’ collection are not sports related.
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Answer:
We need to conduct a hypothesis in order to test the claim that the true proportion of employess are late to work is 0.16, so we need to apply a one sample proportion test:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
Data given and notation
n=25 represent the random sample taken
estimated proportion
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 true proportion of employess are late to work is 0.16, so we need to apply a one sample proportion test:
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:
Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The next step would be calculate the p value for this test.
Since is a bilateral test the p value would be:
Answer:
0.025
Step-by-step explanation:
-This is a conditional probability problem.
-Let L denote lens defect and C charging defect.
#We first calculate the probability of a camera having a lens defect;
#Calculate the probability of a camera having a charging defect:
The the probability that a camera has a lens defect given that it has a charging defect is calculated as:
Hence, the probability that a camera has a lens defect given that it has a charging defect is 0.025