State the initial and final conclusions for the hypothesis t

State the initial and final conclusions for the hypothesis tests:

1)Claim : p >1/3, \\alpha=.01, P= .03

2)Claim : \\mu=2, \\alpha= .05, P= .02

3) \\sigma\ eq 7, \\alpha = .10, P= .06

Solution

1)

Initial conclusion: p > 1/3 (claim)

As P > 0.01, we fail to reject Ho. Hence, we support the claim. We conclude p > 1/3.

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2)

Initial conclusion: u = 2 (claim)

As P < 0.05, we reject Ho and not support the claim. We conclude mu =/ 2.

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3)

Initial conclusion: sigma = 7.

As P < 0.10, we reject the initial conclusion and conclude sigma =/ 7.