A box contains five slips of paper, each with one of the letters A, B, C, D, or E written on it. Another box has four slips of p
2 answers:
Answer:
The probability that Nancy draws the letter B from one box and the number 2 from the other box is:
Step-by-step explanation:
We know that the probability of drawing a slip of paper from one box is independent of drawing a piece of slip from the other.
Let first box contain five slips of paper, each with one of the letters A, B, C, D, or E written on it.
This means that the probability of drawing B is:
ratio of the number of slips containing B to the total number of slips.
i.e.
Second box has four slips of paper, each with one of the numbers 1, 2, 3, or 4 written on it.
This means that the probability of drawing number 2 is:
ratio of the number of slips containing number 2 to the total number of slips.
i.e.
Hence,
Hence, the probability is:
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Answer:
Step-by-step explanation:
1) Data given and notation
n=100 represent the random sample taken
X=18 represent the ounce cups of coffee that were underfilled
estimated proportion of ounce cups of coffee that were underfilled
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)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion it's higher than 0.1 or 10%:
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
.
3) Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
4) 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 significance level assumed for this case is . The next step would be calculate the p value for this test.
Since is a one right tailed test the p value would be:
So the p value obtained was a very low value and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance thetrue proportion is not significanlty higher than 0.1 or 10% .