Determine the hypothesis test outcome about the parameter (pi) for a Bernoulli process; significance (alpha). (a) (H_{1}:

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Determine the hypothesis test outcome about the parameter \(\pi\) for a Bernoulli process; significance \(\alpha\).

(a) \(H_{1}: \pi>0.5 . \alpha=0.05\). Observations: \(k=8\) positive and \(l=6\) negative.

(b) \(H_{1}: \pi<0.25 . \alpha=0.1\). Observations: \(k=2\) positive and \(l=18\) negative.

(c) \(H_{1}: \pi<0.1 . \alpha=0.05\). Observations: \(k=4\) positive and \(l=96\) negative.

(d) \(H_{1}: \pi eq 0.5 . \alpha=0.1\). Observations: \(k=40\) positive and \(l=60\) negative.

(e) You have heard that Coca and Pepsi have an equal share in the Cola market at your university, and decide to investigate if this is true. Your investigations find 46 Pepsi drinkers and 54 Coca drinkers. Does this suffice if you want to say their markets shares are unequal, with significance \(\alpha=0.1\) ?

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