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marissastewart533
21.09.2019 •
Mathematics
Plz will mark
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you owe $3450.00, what credit limit gives you an acceptable debt ratio?
$4000
$2000
$7000
$5500
Solved
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Ответ:
Solution:
Debt Ratio= (Total liabilities which includes debts, and other expenses) ÷ (Total amount of worth possessed)
A debt ratio of approximately 0.5 is considered to be reasonable.
Money Owed by you = $ 3450.00
So, the Credit limit which gives Acceptable Debt of $ 3450.00 when debt ratio is approximately more or less than 0.5 is
Out of the following four options
Option (D) $ 7,000 is true, regarding Credit limit.
Ответ:
We are testing a hypothesis. So, first we identify the null and the alternative hypothesis, then we find the test statistic, and with the test statistic, the p-value is found.
Null and alternative hypothesis:
Claim the the proportion is of 60%, thus, the null hypothesis is:
Test if the proportion is greater than 60%, thus, the alternative hypothesis is:
And the answer to the first question is given by option c.
Classification:
We are testing if the proportion is greater than a value, so it is a right-tailed test.
Test statistic:
In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that![\mu = 0.6, \sigma = \sqrt{0.4*0.6}](/tpl/images/1400/5398/58049.png)
Survey, conducted over a two week period, found that in a sample of 100 people, 69% of them said they are confident of meeting their goals.
This means that![n = 100, X = 0.69](/tpl/images/1400/5398/4aa06.png)
Value of the test statistic:
The test statistic is z = 1.837.
p-value:
The p-value of the test is the probability of finding a sample proportion above 0.69, which is 1 subtracted by the p-value of z = 1.837.
Looking at the z-table, z = 1.837 has a p-value of 0.9669.
1 - 0.9669 = 0.0331
The p-value is 0.0331.
Decision:
The p-value of the test is 0.0331 > 0.01, and thus:
a. Fail to reject the null hypothesis
For another example of a problem of a test of hypothesis, you can take a look at: