Please help choose the best answer 4x < 48
1 answer:
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The answer is
the probability of choosing an orange marble is 2/10 because there are 2 orange marbles and 10 marbles in total.
the probability of choosing a green marble is 2/9 because there are 2 green marbles and 9 marbles in total (because you already picked one marble out of the bag thereby decreasing the total number of marbles in all).
when you multiply the probability of these two events you get .04444 which is the probability of both events happening simultaneously.
the probability of choosing an orange marble is 2/10 because there are 2 orange marbles and 10 marbles in total.
the probability of choosing a green marble is 2/9 because there are 2 green marbles and 9 marbles in total (because you already picked one marble out of the bag thereby decreasing the total number of marbles in all).
when you multiply the probability of these two events you get .04444 which is the probability of both events happening simultaneously.
Answer:
a) Null hypothesis:
Alternative hypothesis:
b)
Step-by-step explanation:
1) Data given and notation
n=400 represent the random sample taken
X=90 represent the number of questions with B as the correct answer
estimated proportion of arrests that were not prosecuted
is the value that we want to test, since we assume that each question present 5 options and just one is correct, 1/5 =0.2 if all five options were equally likely
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 is higher than 0.2.:
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
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:
If we compare the p value obtained and the significance level assumed we have
so we can conclude that we have enough evidence to FAIL reject the null hypothesis, and we can said that at 5% of significance the proportion of B correct answers is not significantly higher than 0.2.
The answer is
D. A histogram is shown with title Puppy Weight. On the horizontal axis, the title is Pounds. The title on the vertical axis is Puppies. The range on the horizontal axis is 10 to 11, 12 to 13, and 14 to 15. The values on the vertical axis are from 0 to 6 at intervals of 1. The bar for the first range goes to 4, the bar for the second range goes to 2, the bar for the third range goes to 3.
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D. A histogram is shown with title Puppy Weight. On the horizontal axis, the title is Pounds. The title on the vertical axis is Puppies. The range on the horizontal axis is 10 to 11, 12 to 13, and 14 to 15. The values on the vertical axis are from 0 to 6 at intervals of 1. The bar for the first range goes to 4, the bar for the second range goes to 2, the bar for the third range goes to 3.
100% Verified!
Hope This Helps!:)