The P-value for a two-sided test of the null hypothesis Ho: = 50 is 0.02 (a) Doe

Question

The P-value for a two-sided test of the null hypothesis Ho: = 50 is 0.02 (a) Does the 95% confidence interval include the value 50? Why? O No, 50 is not in the 95% confidence interval, because P = 0.02 means we would reject Ho at = 0.05. O No, 50 is not in the 95% confidence interval, because p 0.02 means we would not reject Ho at 0.05 O Yes, 50 is in the 95% confidence interval, because P = 0.02 means we would not reject Ho at 0.05 Yes, 50 is in the 95% confidence interval, because p = 0.02 means we would reject H at = 0.05 O Yes, 50 is in the 95% confidence interval, because P = 0.02 means we would not reject Ho at = 0.01. (b) Does the 90% confidence interval include the value 50? why? O Yes, 50 is in the 90% confidence interval, because p = 0.02 means we would not reject Ho at -0.10. O No, 50 is not in the 90% confidence interval, because p = 0.02 means we would not reject Ho at = 0.10. Yes, 50 is in the 90% confidence interval, because P = 0.02 means we would not reject Ho at = 0.01 O No, 50 is not in the 90% confidence interval, beca use P = 0.02 means we would reject Ho at = 0.10 Yes, 50 is in the 90% confidence interval, because p = 0.02 means we would reject Ho at 0.1

Explanation / Answer

a) No, because p - value is less than 0.05, we reject Ho and hence, 50 will not be in confidence interval.

Option A is correct.

b) No, because p - value is less than 0.10, we reject Ho and hence, 50 will not be in confidence interval.

Option D is correct.

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