For every 4 gallons of green paint he uses 3 gallons of blue paint. Drag the correct number of each type of paint into the box t
1 answer:
Answer:
Amount of green color used =
Step-by-step explanation:
We are given the following in the question:
Every 4 gallons of green paint is mixed with 3 gallons of blue paint. to make a particular shade.
Ratio of green color to blue paint can be calculated as:
Amount of shade = 16
Amount of green paint =
Amount of blue paint =
Thus, we can write:
Amount of green color used =
Amount of blue paint used =
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Answer:
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 the proportion is significantly higher than 0.5 .
Step-by-step explanation:
1) Data given and notation
n=2430 represent the random sample taken
estimated proportion when the home team won the game
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
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 proportion is higher than 0.5 or 50%:
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 provided . The next step would be calculate the p value for this test.
Since is a 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 the proportion is significantly higher than 0.5 .
I hope this helps, I wrote the new equation each time you get a new number and where it should be placed
