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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.

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 number6

was landing face up more often than expected, not less often. The one sided-interval will determine a valueL

such that all plausible values ofp

are greater thanL

. The formula forL

isL=p

+z

p

(1p

)

n

.

(i) Determine the values ofz

needed to create the one-sided95

percent confidence interval. Then calculate the value ofL

.

(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.

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