Question
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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