Is 0 rational, integer, whole, natural, or irrational?
1 answer:
You might be interested in
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.
Answer:
100
Step-by-step explanation:
You are given the equation
There are 5 coefficients:
Two of them are integers
two of them are decimals with one digit after point
and one is a decimal with two digits after point
To get rid of fractions, we have to get rid of digits after point. The maximum number of digits after point is 2, then we have to multiply the equation by 100: