On Monday, a local hamburger shop sold a combined total 288 of hamburgers and cheeseburgers. The number of cheeseburgers sold wa
1 answer:
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Answer:
A) The researcher should reject the null hypothesis with a = .05 but not with a = .01.
Step-by-step explanation:
State the null and alternative hypotheses to be tested
On this case we can assume that the researcher conduct a one right tailed test hypothesis like on this way:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
On this case we have the value for z score given z =+1.85
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 one right tail test the p value would be:
If we compare the p value obtained and the significance level given we can take a decision:
A) The researcher should reject the null hypothesis with a = .05 but not with a = .01.
YES, since the p value it's higher than the significance level of 0.01 so we FAIL to reject the null hypothesis at this significance level. And for the significance level 0.05 we have that and we can reject the null hypothesis.
B) The researcher should reject the null hypothesis with either a = .05 or a = .01.
No since the p value it's higher than the significance level of 0.01 so we FAIL to reject the null hypothesis at this significance level
C) The researcher should fail to reject H0 with either a = .05 or a = .01.
No, for the significance level of 0.05 we reject the null hypothesis since
D) This cannot be answered without additional information.
No, we have enough info to answer the question
Answer:
His parents should invest $15,278.16 to reach this goal ⇒ 4th answer
Step-by-step explanation:
* Lets explain how to solve the problem
- Derrick will need $39,500 in 10 years for college tuition
∴ The future amount is $39,500
∴ The time for investment is 10 years
- P is the money his parents invest now at 9.5% annual interest,
compounded daily
∴ The rate is 9.5% per year compounded daily
- The formula of the compounded interest is:
, where
# A is the future value of money
# P is the value of investment
# r is the rate of interest in decimal
# t is the time of investment
# n is the period of the time
∵ A = $39,500
∵ t = 10
∵ r = 9.5/100 = 0.095
∵ n = 365 ⇒ compounded daily
- Lets use the formula above to find P
∴
∴
- Divide both sides by 2.58539
∴ P = $15278.16
∴ His parents should invest $15,278.16 to reach this goal