Assume a significance level ofα=0.05
and use the given information to complete parts (a) and (b) below.Original claim:
LessLess
than
51%
of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of
0.0148
a. State a conclusion about the null hypothesis. (Reject
Upper H 0H0
or fail to reject
Upper H 0H0.)
Choose the correct answer below.
A.
RejectReject
Upper H 0H0
because the P-value is
less than or equal toless than or equal to
alphaα.
B.
RejectReject
Upper H 0H0
because the P-value is
greater thangreater than
alphaα.
C.
Fail to rejectFail to reject
Upper H 0H0
because the P-value is
greater thangreater than
alphaα.
D.
Fail to rejectFail to reject
Upper H 0H0
because the P-value is
less than or equal toless than or equal to
alphaα.
b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion?
A.
The percentage of adults that would erase all of their personal information online if they could is
lessless
than or equal to
51%.
B.
There
isis
sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is
moremore
than
51%.
C.
The percentage of adults that would erase all of their personal information online if they could is
moremore
than
51%.
D.
There
is notis not
sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is
moremore
than
51%.
Answers
Answer:
Part a: The correct answer is A, reject H0 because p value is less than . Part B: The correct answer is C, the percentage of adults that would erase their personal information online if they could is more than 51%.
Step-by-step explanation:
part a. The essential idea of hypothesis testing in statistics is to evaluate the probability p (p value) of some representative parameter, compared to a level of likelihood that is set before starting the test (). In this case, we are interested in a level of likelihood
, which means that if the probability of the parameter is less than 5%, we will reject the hypothesis that this parameter is representing, since it's so unlikely. Of course, the significance level is arbitrary and must be payed attention, according to the particular situation. Therefore, the correct anser is A.
part b. Since we rejected the hypothesis to a 5% significance level, we reject the fact that less than 51% of adults would erase their personal information online if they could. This is equivalent to saying that a percentage of adults equal to or more than 51% would erase their personal information if they could, which is answer C.
Final answer:
We should reject the null hypothesis because the P-value is less than the significance level. This provides statistically significant evidence to support the claim that less than 51% of adults would erase all of their personal information online if they could.
Explanation:
The questions relate to hypothesis testing in Statistics, which is a tool to make inferences about a population parameter based on a sample's observation.
a. In hypothesis testing, a P-value is the probability that the observed data would occur under the null hypothesis. If the P-value is less than or equal to the significance level α, we reject the null hypothesis. In this case, the P-value is 0.0148, which is less than the significance level α=0.05. Therefore, we should Reject the null hypothesis. The correct answer is A.
b. Since we rejected the null hypothesis, we have evidence to support the alternate hypothesis. In this context, the original claim was that less than 51% of adults would erase all of their personal information online if they could. The test result provides statistically significant evidence to support the original claim. Therefore, the correct conclusion is A.
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Answers
Answer:
A, 38, 40
Step-by-step explanation:
a. A has to be the first graph because it starts at $ 25 and it rises as more work needs to get done
b.if you go from 50 up until you get to the line, then look left at the axis is about $38
c. C=25+s*0.25, substitute c=35 and find s
35=25+s*0.25 subtreact 25 from both sides
35-25= s*0.25
10=s*0.25 divide both sides by 0.25
10/0.25=s
40=s
Answers
Answers
Answer:
17
Step-by-step explanation:
We can put this as an AP (arithmetic progression).
The first number, after 160, that is divisible by 7 is:
161
The last number before 279 that is divisible by 7 is:
273
We can use the formula:
Where
tn is the nth term [here we take the last one, 273
a is the first term [161]
d is the common difference [7]
and n is the number of terms, we are trying to find this.
Substituting we get:
Hence, there are 17 integers
The curve representing the relationship includes the point
The growth factor is
An earthquake with an energy level of has a magnitude of
Answers
Final answer:
The equation 'M = 0.6666 log x - 3.2' describes the relationship between the energy produced by an earthquake (x) and its resulting magnitude (M). The 0.6666 in the formula is the growth factor. To get a magnitude for a specific energy level, we plug the energy value into the formula, and solve.
Explanation:
The equation given represents the relationship between the magnitude of an earthquake (M) and the energy it produces (x), with M being the earthquake's magnitude and x being the energy produced by the earthquake. This equation is a logarithmic model with a base of 10 (without the base explicitly stated, we assume it to be 10).
- The curve representing the relationship includes the point: To identify a point, we need a specific x-value for the energy level. For instance, for x=1000, we can plug it into the equation to get the magnitude M = 0.6666 log(1000) - 3.2.
- The growth factor is: In this context, the growth factor refers to the constant 0.6666 which is multiplied by the logarithm. This factor impacts the rate at which the magnitude of the earthquake grows for a given increase in energy.
- An earthquake with an energy level of (an x-value should be inserted here) has a magnitude of: We would again plug the energy value (x-value) into the formula, compute the expression to determine the corresponding magnitude.
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Answer:
Step-by-step explanation:
Answers
I believe that n= 2. please correct me if I am wrong.
Answer:
n=2
Step-by-step explanation:
525 feet
1,125 feet
1,875 feet
Answers
Answer:
525
Step-by-step explanation:
s=d/t
Answer:
525 feet aka B
Step-by-step explanation:
<3 Hope this help