Hypothesis Test of Proportions using a Hypergeometric Distribution 200 voters and it is claimed that the proportion of voters supporting the President for reelection is 61%. We take a sample of 25 voters and find that 20% of them support the reelection of the President. Do we have sufficient evidence to suggest that the true proportion of voters supporting reelection is less than claimed? Use α = 0.1. Note that we are performing a test of hypothesis about a population proportion. Since the population size is known and finite we use a hypergeometric distribution to compute the p-values. Enter in the important parameters for this hypergeometric distribution. Population size = N = Proportion of successes in the population = p0= % Number of successes in the population = M = Sample size = n = Proportion of successes in the sample = p̂ = % Number of successes in the sample = X = p-value = (6 decimal places) Conclusion: At the ? = 0.1 level there --- is not is enough evidence to conclude that the true proportion of voters supporting reelection is less than claimed.
Hypothesis Test of Proportions using a Hypergeometric Distribution
200 voters and it is claimed that the proportion of voters supporting the President for reelection is 61%. We take a sample of 25 voters and find that 20% of them support the reelection of the President. Do we have sufficient evidence to suggest that the true proportion of voters supporting reelection is less than claimed? Use α = 0.1.
Note that we are performing a test of hypothesis about a population proportion. Since the population size is known and finite we use a hypergeometric distribution to compute the p-values.
Enter in the important parameters for this hypergeometric distribution.
Population size = N =
Proportion of successes in the population =
p0= %
Number of successes in the population = M =
Proportion of successes in the sample = p̂ = %
Number of successes in the sample = X =
p-value = (6 decimal places)
Conclusion:
At the ? = 0.1 level there --- is not is enough evidence to conclude that the true proportion of voters supporting reelection is less than claimed.
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