Doubts about t.test results
I have a vector with 385 numbers ranging from 2000 to 5200 and I am asked to test whether the mean is greater than 5500. I tried this:
t.test(tabla2$`Precio max`, y = NULL, alternative="g", mu=5500,paired = FALSE, conf.level=0.95)
and the result is:
One Sample t-test
data: tabla2$`Precio max`
t = -75.692, df = 384, p-value = 1
alternative hypothesis: true mean is greater than 5500
95 percent confidence interval:
3471.847 Inf
sample estimates:
mean of x
3515.086
I am not sure if I am doing this right or my understanding of the Hypothesis test is wrong. As far as I know, the p-value is greater than the significance level (0.05) therefore I should accept the Null Hypothesis, but the Null hypothesis states that the mean is equal to 5500 which cant be since the list never reaches that value. Can someone help me understand this?
r t-test hypothesis-test
edited Nov 11 at 21:53
Nakx
12713
asked Nov 11 at 21:18
David Contreras
61
|
show 5 more comments
I have a vector with 385 numbers ranging from 2000 to 5200 and I am asked to test whether the mean is greater than 5500. I tried this:
t.test(tabla2$`Precio max`, y = NULL, alternative="g", mu=5500,paired = FALSE, conf.level=0.95)
and the result is:
One Sample t-test
data: tabla2$`Precio max`
t = -75.692, df = 384, p-value = 1
alternative hypothesis: true mean is greater than 5500
95 percent confidence interval:
3471.847 Inf
sample estimates:
mean of x
3515.086
I am not sure if I am doing this right or my understanding of the Hypothesis test is wrong. As far as I know, the p-value is greater than the significance level (0.05) therefore I should accept the Null Hypothesis, but the Null hypothesis states that the mean is equal to 5500 which cant be since the list never reaches that value. Can someone help me understand this?
r t-test hypothesis-test
edited Nov 11 at 21:53
Nakx
12713
asked Nov 11 at 21:18
David Contreras
61
If your numbers range from 2000 to 5200 there is no point in testing whether the mean is great than 5500. It obviously isn't since your highest value is lower than 5500. Please reformulate this question.
– Nakx
Nov 11 at 21:27
@Nakx thats my question, it's an assignment in my statistics class, the test should return with the Null Hypothesis being wrong, but it doesn't, why?
– David Contreras
Nov 11 at 21:31
1
The null is not rejected and it shouldn't. I don't understand why do you expect to see a test with alternative true mean is greater than 5500 reject the null given the range of your data.
– Rui Barradas
Nov 11 at 22:06
1
1) the Null is accepted No, never. What you can say is that the Null is not rejected. 2) You are testing H0: mu = 5500 versus H1: mu > 5500. Now, mu is not > 5500.
– Rui Barradas
Nov 11 at 22:38
1
from what i've read so far, this question is about statistics (homeworks to be precise). Not programming.
– LoneWanderer
Nov 12 at 0:56
|
show 5 more comments
I have a vector with 385 numbers ranging from 2000 to 5200 and I am asked to test whether the mean is greater than 5500. I tried this:
t.test(tabla2$`Precio max`, y = NULL, alternative="g", mu=5500,paired = FALSE, conf.level=0.95)
and the result is:
One Sample t-test
data: tabla2$`Precio max`
t = -75.692, df = 384, p-value = 1
alternative hypothesis: true mean is greater than 5500
95 percent confidence interval:
3471.847 Inf
sample estimates:
mean of x
3515.086
I am not sure if I am doing this right or my understanding of the Hypothesis test is wrong. As far as I know, the p-value is greater than the significance level (0.05) therefore I should accept the Null Hypothesis, but the Null hypothesis states that the mean is equal to 5500 which cant be since the list never reaches that value. Can someone help me understand this?
r t-test hypothesis-test
edited Nov 11 at 21:53
Nakx
12713
asked Nov 11 at 21:18
David Contreras
61
I have a vector with 385 numbers ranging from 2000 to 5200 and I am asked to test whether the mean is greater than 5500. I tried this:
t.test(tabla2$`Precio max`, y = NULL, alternative="g", mu=5500,paired = FALSE, conf.level=0.95)
and the result is:
One Sample t-test
data: tabla2$`Precio max`
t = -75.692, df = 384, p-value = 1
alternative hypothesis: true mean is greater than 5500
95 percent confidence interval:
3471.847 Inf
sample estimates:
mean of x
3515.086
I am not sure if I am doing this right or my understanding of the Hypothesis test is wrong. As far as I know, the p-value is greater than the significance level (0.05) therefore I should accept the Null Hypothesis, but the Null hypothesis states that the mean is equal to 5500 which cant be since the list never reaches that value. Can someone help me understand this?
r t-test hypothesis-test
r t-test hypothesis-test
edited Nov 11 at 21:53
Nakx
12713
asked Nov 11 at 21:18
David Contreras
61
edited Nov 11 at 21:53
Nakx
12713
asked Nov 11 at 21:18
David Contreras
61
edited Nov 11 at 21:53
Nakx
12713
edited Nov 11 at 21:53
Nakx
12713
edited Nov 11 at 21:53
Nakx
12713
12713
asked Nov 11 at 21:18
David Contreras
61
asked Nov 11 at 21:18
David Contreras
61
asked Nov 11 at 21:18
David Contreras
61
61
If your numbers range from 2000 to 5200 there is no point in testing whether the mean is great than 5500. It obviously isn't since your highest value is lower than 5500. Please reformulate this question.
– Nakx
Nov 11 at 21:27
@Nakx thats my question, it's an assignment in my statistics class, the test should return with the Null Hypothesis being wrong, but it doesn't, why?
– David Contreras
Nov 11 at 21:31
1
The null is not rejected and it shouldn't. I don't understand why do you expect to see a test with alternative true mean is greater than 5500 reject the null given the range of your data.
– Rui Barradas
Nov 11 at 22:06
1
1) the Null is accepted No, never. What you can say is that the Null is not rejected. 2) You are testing H0: mu = 5500 versus H1: mu > 5500. Now, mu is not > 5500.
– Rui Barradas
Nov 11 at 22:38
1
from what i've read so far, this question is about statistics (homeworks to be precise). Not programming.
– LoneWanderer
Nov 12 at 0:56
|
show 5 more comments
If your numbers range from 2000 to 5200 there is no point in testing whether the mean is great than 5500. It obviously isn't since your highest value is lower than 5500. Please reformulate this question.
– Nakx
Nov 11 at 21:27
@Nakx thats my question, it's an assignment in my statistics class, the test should return with the Null Hypothesis being wrong, but it doesn't, why?
– David Contreras
Nov 11 at 21:31
1
The null is not rejected and it shouldn't. I don't understand why do you expect to see a test with alternative true mean is greater than 5500 reject the null given the range of your data.
– Rui Barradas
Nov 11 at 22:06
1
1) the Null is accepted No, never. What you can say is that the Null is not rejected. 2) You are testing H0: mu = 5500 versus H1: mu > 5500. Now, mu is not > 5500.
– Rui Barradas
Nov 11 at 22:38
1
from what i've read so far, this question is about statistics (homeworks to be precise). Not programming.
– LoneWanderer
Nov 12 at 0:56
If your numbers range from 2000 to 5200 there is no point in testing whether the mean is great than 5500. It obviously isn't since your highest value is lower than 5500. Please reformulate this question.
– Nakx
Nov 11 at 21:27
If your numbers range from 2000 to 5200 there is no point in testing whether the mean is great than 5500. It obviously isn't since your highest value is lower than 5500. Please reformulate this question.
– Nakx
Nov 11 at 21:27
@Nakx thats my question, it's an assignment in my statistics class, the test should return with the Null Hypothesis being wrong, but it doesn't, why?
– David Contreras
Nov 11 at 21:31
@Nakx thats my question, it's an assignment in my statistics class, the test should return with the Null Hypothesis being wrong, but it doesn't, why?
– David Contreras
Nov 11 at 21:31
1
1
The null is not rejected and it shouldn't. I don't understand why do you expect to see a test with alternative true mean is greater than 5500 reject the null given the range of your data.
– Rui Barradas
Nov 11 at 22:06
The null is not rejected and it shouldn't. I don't understand why do you expect to see a test with alternative true mean is greater than 5500 reject the null given the range of your data.
– Rui Barradas
Nov 11 at 22:06
1
1
1) the Null is accepted No, never. What you can say is that the Null is not rejected. 2) You are testing H0: mu = 5500 versus H1: mu > 5500. Now, mu is not > 5500.
– Rui Barradas
Nov 11 at 22:38
1) the Null is accepted No, never. What you can say is that the Null is not rejected. 2) You are testing H0: mu = 5500 versus H1: mu > 5500. Now, mu is not > 5500.
– Rui Barradas
Nov 11 at 22:38
1
1
from what i've read so far, this question is about statistics (homeworks to be precise). Not programming.
– LoneWanderer
Nov 12 at 0:56
from what i've read so far, this question is about statistics (homeworks to be precise). Not programming.
– LoneWanderer
Nov 12 at 0:56
|
show 5 more comments
1 Answer
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I understood my problem, I was taught that the Null Hypothesis in this scenario was that
mu = 5500, which made no sense for the results. Reality is that my Null Hypothesis was H0: mu <= 5500 and alternative Hypothesis H1: mu > 5500. Since p-value is greater than alpha = 0.05, this means that there isn't enough proof that H0 is false, I can't conclude anything else besides this which holds true in this scenario.
answered Nov 12 at 1:18
David Contreras
61
add a comment |
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I understood my problem, I was taught that the Null Hypothesis in this scenario was that
mu = 5500, which made no sense for the results. Reality is that my Null Hypothesis was H0: mu <= 5500 and alternative Hypothesis H1: mu > 5500. Since p-value is greater than alpha = 0.05, this means that there isn't enough proof that H0 is false, I can't conclude anything else besides this which holds true in this scenario.
answered Nov 12 at 1:18
David Contreras
61
add a comment |
I understood my problem, I was taught that the Null Hypothesis in this scenario was that
mu = 5500, which made no sense for the results. Reality is that my Null Hypothesis was H0: mu <= 5500 and alternative Hypothesis H1: mu > 5500. Since p-value is greater than alpha = 0.05, this means that there isn't enough proof that H0 is false, I can't conclude anything else besides this which holds true in this scenario.
answered Nov 12 at 1:18
David Contreras
61
add a comment |
I understood my problem, I was taught that the Null Hypothesis in this scenario was that
mu = 5500, which made no sense for the results. Reality is that my Null Hypothesis was H0: mu <= 5500 and alternative Hypothesis H1: mu > 5500. Since p-value is greater than alpha = 0.05, this means that there isn't enough proof that H0 is false, I can't conclude anything else besides this which holds true in this scenario.
answered Nov 12 at 1:18
David Contreras
61
I understood my problem, I was taught that the Null Hypothesis in this scenario was that
mu = 5500, which made no sense for the results. Reality is that my Null Hypothesis was H0: mu <= 5500 and alternative Hypothesis H1: mu > 5500. Since p-value is greater than alpha = 0.05, this means that there isn't enough proof that H0 is false, I can't conclude anything else besides this which holds true in this scenario.
answered Nov 12 at 1:18
David Contreras
61
answered Nov 12 at 1:18
David Contreras
61
answered Nov 12 at 1:18
David Contreras
61
answered Nov 12 at 1:18
David Contreras
61
61
add a comment |
add a comment |
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If your numbers range from 2000 to 5200 there is no point in testing whether the mean is great than 5500. It obviously isn't since your highest value is lower than 5500. Please reformulate this question.
– Nakx
Nov 11 at 21:27
@Nakx thats my question, it's an assignment in my statistics class, the test should return with the Null Hypothesis being wrong, but it doesn't, why?
– David Contreras
Nov 11 at 21:31
1
The null is not rejected and it shouldn't. I don't understand why do you expect to see a test with alternative true mean is greater than 5500 reject the null given the range of your data.
– Rui Barradas
Nov 11 at 22:06
1
1) the Null is accepted No, never. What you can say is that the Null is not rejected. 2) You are testing H0: mu = 5500 versus H1: mu > 5500. Now, mu is not > 5500.
– Rui Barradas
Nov 11 at 22:38
1
from what i've read so far, this question is about statistics (homeworks to be precise). Not programming.
– LoneWanderer
Nov 12 at 0:56