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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Mathematics

Cassie Bass

27 April, 18:51

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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Aden Burns · Answer 1

- 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.