(d) 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 L=pˆ+z∗pˆ(1−pˆ)n−−−−−√ . (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.