Joachim, a third student, noted that the confidence interval in part (a) gives plausible values of t

dourtuntellorvl

dourtuntellorvl

Answered question

2022-06-16

Joachim, a third student, noted that the confidence interval in part (a) gives plausible values of the parameter as an interval between two values. He suggested that they develop a one-sided confidence interval because they were only concerned with whether the number 6 was landing face up more often than expected, not less often. The one sided-interval will determine a value L such that all plausible values of p are greater than L. The formula for L is .
(i) Determine the values of z∗ needed to create the one-sided 95 percent confidence interval. Then calculate the value of L.
(ii) Do the results of Joachim’s one-sided confidence interval agree with results of Aurelia’s significance test in part (b)?
Explain your reasoning.

Answer & Explanation

kejohananws

kejohananws

Beginner2022-06-17Added 19 answers

The value of z at 95% confidence interval for one sided interval is 1.64
The value of L can be calculated as below-
Confidence interval = = 0.215 + 1.64 0.215 ( 1 0.215 200 = 0.215 + 0.29 = 0.2440
(ii)
yes, Joachim's one sided confidence interval agree with results ofAurelia's significance test in part (b) as the probability of getting a number 6 is
greater than 0.1667

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