Kyleigh is making a bowl of punch. The recipe calls for 2 1/4 cups for sherbet. If she uses 1 2/3 of that amount, will she be us
1 answer:
You might be interested in
Answer:
With the most common significance levels used we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5
Step-by-step explanation:
Information given
n=297 represent the random sample of male taken
X=183 represent the men who said yes, they had driven a car when they probably had too much alcohol
estimated proportion of men who said yes, they had driven a car when they probably had too much alcohol
is the value that we want to test
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Hypothesis to test
We need to conduct a hypothesis in order to test the claim that the majority of men in the population (that is, more than half) would say that they had driven a car when they probably had too much alcohol, and the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
After replace we got:
Since we have all the info requires we can replace in formula (1) like this:
Decision
We have a right tailed test so then the p value would be:
With the most common significance levels used we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5
We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:
Where:
Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:
Now we substitute the values:
Now we solve the operations, we get:
Therefore, the present value must be $39462.50