SOLUTION: Research at Smallville University revealed that 50% of students change their major studies after their first year in a program. A random sample of 100 students in their first yea

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Question 1005532: Research at Smallville University revealed that 50% of students change their major studies after their first year in a program. A random sample of 100 students in their first year in a program revealed that 48 had changed their major studies. Has there been a significant decrease in the proportion of students who change their major studies after their first year in a program? Test at the .05 level of significance.
Answer by stanbon(75887) About Me  (Show Source):
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Research at Smallville University revealed that 50% of students change their major studies after their first year in a program. A random sample of 100 students in their first year in a program revealed that 48 had changed their major studies. Has there been a significant decrease in the proportion of students who change their major studies after their first year in a program? Test at the .05 level of significance.
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Ho: p >= 0.5
Ha: p < 0.5 (claim)
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p-hat = 0.48
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z(0.48) = (0.48-0.50)/sqrt[0.5*0.5/100) = -0.4
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P-value = P(z < -0.4) = 0.34
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Conclusion:: Since the P-value is greater than 5%
fail to reject Ho.
The test results do not support the claim.
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Cheers,
Stan H.
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