SOLUTION: the nursing club at a large college in nairobi believes that the group consists of 10% first years, 20% second years, 40% third years and 30% fourth years. the membership for the c

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Question 465550: the nursing club at a large college in nairobi believes that the group consists of 10% first years, 20% second years, 40% third years and 30% fourth years. the membership for the club this year consisted of 14 first years, 19 second years, 51 third years and 16 fourth years. at ᾰ=10% test the advisers conjecture
Answer by stanbon(75887) About Me  (Show Source):
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the nursing club at a large college in nairobi believes that the group consists of 10% first years, 20% second years, 40% third years and 30% fourth years. the membership for the club this year consisted of 14 first years, 19 second years, 51 third years and 16 fourth years. at alpha=10% test the advisers conjecture
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Ho: The proportions are as claimed
Ha: At least one of the proportions is different than that claimed
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I ran a Chi-Sq Goodness of Fit test on the data and got the following:
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test statistic: Chi-Sq. = 15.8180
p-value: 0.0012
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Conclusion: Since the p-value is less than 10%, reject Ho.
The test results do not support the claim.
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Cheers,
Stan H.