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 va
lue 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.
- 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.
We can solve this by setting up a proportion where 864/12 = 504/x. We cross multiply and get 864x = 504 * 12. So 864x = 6048. Divide by 864 on both sides, x = 7.
