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Author Question: Consider the following hypothesis test: Ho: p = 0.5 Ha: p 0.5 A sample of 800 provided a sample ... (Read 173 times)

Shelles

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Consider the following hypothesis test: Ho: p = 0.5 Ha: p  0.5 A sample of 800 provided a sample proportion of 0.58.
 a. Determine the standard error of the proportion.
  b. Compute the value of the test statistic.
  c. Determine the p-value, and at 95 confidence, test the hypotheses.

Question 2

You are given the following information obtained from a random sample of 5 observations. Assume the population has a normal distribution. 20 18 17 22 18 You want to determine whether or not the mean of the population from which this sample was taken is significantly less than 21.
 a. State the null and the alternative hypotheses.
  b. Compute the standard error of the mean.
  c. Determine the test statistic.
  d. Determine the p-value and at 90 confidence, test whether or not the mean of the population is significantly less than 21.



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yotaSR5

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Answer to Question 1

a. 0.01768
b. Z = 4.53
c. p-value is almost zero; reject H0

Answer to Question 2

a. H0:   21
Ha:  < 21
b. 0.8944
c. t = -2.236
d. p-value is between .025 and .05; reject H0, the mean is significantly less than 21.




yotaSR5

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