Show your work please Below are the results of a study. Through the sample of the...

Show your work please

Below are the results of a study. Through the sample of the first 49 Super Bowls, 28 of them were won by teams in the National Football Conference (NFC). A 0.1% (1/10 of 1%) significance level was used to test the claim that the probability of an NFC team Super Bowl win is greater than one-half. Confirm the results with a confidence interval.
a) What is the range of the confidence interval?
b) Does the confidence interval support the decision of the hypothesis test?
c) Explain why or why not

Alpha	0.001

x	28
n	49
p-hat	0.57

Hyposized p >	0.5

Tails	1

z statistic	1.000
p-value	0.1587	Fail to Reject Ho

final answers

a) CI range
b) Confirms?		<=== YES or NO
c) why or why not?

Solutions

Expert Solution

YES , confidence interval support the decision of the hypothesis test.

From calculated confidance interval range is [0.3373, 0.8054] thus we 99.9% confident that the true population proportion falls in this interval.

And conclude that probability of an NFC team Super Bowl win is less than or equal to one-half.

Claim only say probability of an NFC team Super Bowl win is greater than one-half but our interval is [0.3373, 0.8054] therefore there is not enough evidance to warrent the claim.i.e. we fail to reject Ho.

Z-table for p-value,

z-table for z critical

orchestra answered 11 months ago

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