A bag contains coins consisting of quarters and dimes. The total value of the coins is $285. How many quarters are in the bag?
2 answers:
You might be interested in
Answer:
The p-value of the test is of 0.0287 < 0.05(standard significance level), which means that it can be concluded that less than half of HIV-positive smokers have used a nicotine patch.
Step-by-step explanation:
Test if less than half of HIV-positive smokers have used a nicotine patch:
At the null hypothesis, we test if the proportion is of at least half, that is:
At the alternative hypothesis, we test if the proportion is below 0.5, that is:
The test statistic is:
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.
0.5 is tested at the null hypothesis:
This means that
In a survey of 444 HIV-positive smokers, 202 reported that they had used a nicotine patch to try to quit smoking.
This means that
Value of the test statistic:
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.455, which is the p-value of z = -1.9.
Looking at the z-table, z = -1.9 has a p-value of 0.0287.
The p-value is of 0.0287 < 0.05(standard significance level), which means that it can be concluded that less than half of HIV-positive smokers have used a nicotine patch.
Answer:
Step-by-step explanation:
Given
Required
Solve
The question is poorly formatted; the only way to answer this is to place the result of each step in brackets until brackets cannot be used.
So, we have
Solve the expressions in the inner brackets
Solve all divisions
Multiply through