Answer:
Hence, the possible number of outcomes are:
Option: d ( d. 8)
Step-by-step explanation:
It is given that:
A basketball team plays 3 games in a holiday tournament.
( We know that:
Tree diagrams display all the possible outcomes of an event. Each branch in a tree diagram represents a possible outcome )
The possible number of outcomes that are possible are:
8.
Let the team be denoted by 'A'
so, the outcome of the game may be winning(W) or losing(L) the game.
Answer:
The p value obtained and using the significance level assumed we have
so we can conclude that we have enough evidenc to reject the null hypothesis, and we can said that at 5% of significance the proportion of new laptop's with fully charge for the new model is significantly higher compared to the old model.
Step-by-step explanation:
1) Data given and notation n
n=100 represent the random sample taken
X=96 represent the laptop's arrived with fully charged batteries.
estimated proportion of laptop's arrived with fully charged batteries.
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 new model’s rate is at least as high as the previous model.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitc, 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
P value method or p value approach . "This method consists on 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 is not provided, but we can assume . The next step would be calculate the p value for this test.
Since is a one side test the p value would be:
So based on the p value obtained and using the significance level assumed we have
so we can conclude that we have enough evidenc to reject the null hypothesis, and we can said that at 5% of significance the proportion of new laptop's with fully charge for the new model is significantly higher compared to the old model.