Belle borrowed $18.275 to buy a new car. The interest rate she agreed to pay is 5%. If she takes 5 years to pay back the loan, h
2 answers:
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Answer:
Number of child tickets = 800
Number of adult tickets = 330
Step-by-step explanation:
Let c = number of child tickets
and a= the number of adult tickets.
We are given:
The admission fee at the steamboat springs hot air balloon festival is $1.50 for children and $4.00 for adults.
On a certain day, 1,130 enter the festival and 2, 520 is collected.
Making equations:
(because total people entered are 1130, so adding number of adult and child tickets will give us total number of people)
(because total money collected is 2520, so adding coat of adult and child tickets will give us total money)
Now, solving these equations simultaneously, we can find values of x and y
Let:
From equation 1 find value of c and put it in eq(2)
Putting value of c in eq(2)
So, we get value of a = 330
Now, punting value of a in eq(1) to get value of c
So, we get value of c = 800
Therefore:
Number of child tickets = c= 800
Number of adult tickets = a = 330
Answer:
We can assume that the statistic is
So the p value obtained was a very high value and using the significance level given we have
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5
Step-by-step explanation:
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 3/5 or not.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, 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
.
Calculate the statistic
We can assume that the statistic is
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 bilateral test the p value would be:
So the p value obtained was a very high value and using the significance level given we have
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5