SOLUTION: I submitted this question on yesterday and did not get a response. I would like to thank the tutor for helping me on this problem. A telephone survey gives 670 consumers two ch

Algebra ->  Probability-and-statistics -> SOLUTION: I submitted this question on yesterday and did not get a response. I would like to thank the tutor for helping me on this problem. A telephone survey gives 670 consumers two ch      Log On


   

Question 235411: I submitted this question on yesterday and did not get a response. I would like to thank the tutor for helping me on this problem.
A telephone survey gives 670 consumers two choices: Do they prefer Coke or Pepsi? Exactly 158 of those surveyed state that they prefer Coke. Assuming that = 0.10, test the hypothesis that the proportion of the population that prefers Coke is 50%.
· State the null and alternate hypotheses
· Calculate the sample proportion
· Calculate the value of the test statistic.
· Determine the critical value(s).
· State your decision: Should the null hypothesis be rejected?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A telephone survey gives 670 consumers two choices: Do they prefer Coke or Pepsi?
Exactly 158 of those surveyed state that they prefer Coke.
Assuming that alpha = 0.10, test the hypothesis that the proportion of the population that prefers Coke is 50%.
· State the null and alternate hypotheses
Ho: p = 0.5
Ha: p is not 0.5
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· Calculate the sample proportion
p-hat = 158/670 = 0.2358
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· Calculate the value of the test statistic.
z(0.2358) = (0.2358-0.5000)/sqrt[.5*.5/(670)] = -13.6773
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· Determine the critical value(s).
invNorm(0.05) = +/-1.645
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Decision: Should Ho be rejected.
Yes because the test statistic is in the rejection interval
to the left of -1.645.
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Cheers,
Stan H.