The p-value for a two-sided test of the null hypothesis H0: μ = 10 is 0.06. Would a 95% confidence interval for μ include the value 10? - No. A p-value of 0.06 indicates that the results observed are statisically significant at the 5% level, so the 95% confidence interval will not include 10. - No. A p-value of 0.06 indicates that the results observed are not statistically significant at the 5% level, so the 95% confidence interval will not include 10. - Yes. A p-value of 0.06 indicates that the results observed are statistically significant at the 5% level, so the 95% confidence interval will include 10. - Yes. A p-value of 0.06 indicates that the results observed are not statistically significant at the 5% level, so the 95% confidence interval will include 10.

Question

21-11-2019
Mathematics

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The p-value for a two-sided test of the null hypothesis H0: μ = 10 is 0.06. Would a 95% confidence interval for μ include the value 10? - No. A p-value of 0.06 indicates that the results observed are statisically significant at the 5% level, so the 95% confidence interval will not include 10. - No. A p-value of 0.06 indicates that the results observed are not statistically significant at the 5% level, so the 95% confidence interval will not include 10. - Yes. A p-value of 0.06 indicates that the results observed are statistically significant at the 5% level, so the 95% confidence interval will include 10. - Yes. A p-value of 0.06 indicates that the results observed are not statistically significant at the 5% level, so the 95% confidence interval will include 10.

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dogacandu dogacandu · Answer 1 · 2019-11-25T18:50:40+01:00

Answer:

- Yes. A p-value of 0.06 indicates that the results observed are not statistically significant at the 5% level, so the 95% confidence interval will include 10.

Step-by-step explanation:

A p-value of 0.06 at 0.05 significance means we fail to reject the null hypothesis that H0: μ = 10 since p-value>p-critical.

This also means that the result is not statistically significant at 0.05 significance level.

Thus, 95% confidence interval for μ includes 10.

MrRoyal MrRoyal · Answer 2 · 2022-03-08T12:40:54+01:00

The true statement about the hypothesis is: (d) Yes. A p-value of 0.06 indicates that the results observed are not statistically significant at the 5% level, so the 95% confidence interval will include 10.

The null hypothesis is given as:

H0: μ = 10

While the p-value is given as:

p =0.06

At a 95% confidence interval, the level of significance is 5%

i.e. p = 0.05

By comparison,

0.06 is greater than 0.05

This means that we fail to reject the null hypothesis that H0: μ = 10, and the result is not statistically significant at 0.05 significance level.

Hence, the true statement about the hypothesis is: (d)