Answer: Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the distribution of the sample is consistent with the distribution of the state populations.
Explanation:
The null and alternative hypotheses are:
The sample of 1000 subjects has a distribution that is consistent with the distribution of state populations.
The sample of 1000 subjects does not have a distribution that is consistent with the distribution of state populations.
Under the null hypothesis, the test statistic is:
From the attachment, we clearly see the chi-square statistic is:
Now we have to find the chi-square critical value at 0.05 significance level for df = n - 1 = 4-1=3. Using the chi-square distribution table, we have:
Since the chi-square statistic is greater than the chi-square critical value, we therefore reject the null hypothesis and there is sufficient evidence to warrant rejection of the claim that the distribution of the sample is consistent with the distribution of the state populations
Answer:
0
Step-by-step explanation:
Any positive base, raised to the power 0, is 1.
Here, b^0 = 1
Therefore, 0 is the correct answer.
Answer:
The dimensions of the box are:
Length = 11.53cm
Breadth = 11.53cm
Height = 11.53cm
Step-by-step explanation:
The volume of the box can be calculated with this formula:
The volume of the box = area of square base X height of the box.
We are given that the length of one side of the square base is = x cm, and its height is h cm.
Area of square base = 
The surface area of the box will be minimized if the height of the box, is the same as its length. hence, we can take the height of the box to be x cm also.
In this case, the volume of the box will be 
from this, 
There fore, the box has its length, height, and width all having the same values.
The dimensions of the box are:
Length = 11.53cm
Breadth = 11.53cm
Height = 11.53cm
Answer:
23
Step-by-step explanation:
