A 95% confidence interval for a population proportion p is (0.25, 0.45). Using the same sample,...
A 95% confidence interval for a population proportion p is (0.25, 0.45). Using the same sample, what would you conclude for a hypothesis testing H0 : p = 0.4 versus Ha: p<0.4 given a significance level α = 0.05?
Homework Answers
Given, 95% confidence interval for population proportion is (0.25, 0.45)
To test, H0: p=0.4, Ha: p<0.4
Since the population proportion 0.4 lies in the confidence interval,
At 5% level of significance, we accept the null hypothesis
Conclusion: Accept null hypothesis, i.e.,P=0.4
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In order to conduct a hypothesis test for the population
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In order to conduct a hypothesis test for the population
proportion, you sample 450 observations that result in 189
successes. (You may find it useful to reference the
appropriate table: z table or t
table)
H0: p ≥ 0.45;
HA: p < 0.45.
a-1. Calculate the value of the test statistic.
(Negative value should be indicated by a minus sign. Round
intermediate calculations to at least 4 decimal places and final
answer to 2 decimal places.)
TEST STATISTIC =
a-2....
Let X ∼ Bin(124, p) with observed x = 78. Then, the 95%
confidence interval for p is . To make the length of the 95%
confidence interval for p not greater than 0.05, we need the sample
size n to be at least . Based on the data, if we want to test H0 :
p ≤ 0.6 against Ha : p > 0.6, we conclude at significance level
α = 0.05.
Let F ∼ F4,7. Assume c1 satisfies...
what i currently have is wrong...thanks in advance!
A 95% confidence interval for a population proportion was constructed using a sample proportion from a random sample. Which of the following statements are correct? Select all that apply If we were to use a 90% confidence level, the confidence interval from the same data would produce an interval wider than the 95% confidence interval. There is a 95% chance that the 95% confidence interval actually contains the population proportion. We don't...
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