A two-sided hypothesis test for the difference between two population proportions provided statistically significant results at the 5% significance level. Check all the results below that could be the outcome of this test.Group of answer choicesp-value = 0.04795% confidence interval: ( -0.21, 0.05)p-value = 0.1795% confidence interval: (0.03, 0.09)p-value = 0.20195% confidence interval: (-0.28, -0.17)
Question
A two-sided hypothesis test for the difference between two population proportions provided statistically significant results at the 5% significance level. Check all the results below that could be the outcome of this test.Group of answer choicesp-value = 0.04795% confidence interval: ( -0.21, 0.05)p-value = 0.1795% confidence interval: (0.03, 0.09)p-value = 0.20195% confidence interval: (-0.28, -0.17)
Solution
The results that could be the outcome of this test are:
- p-value = 0.047
- 95% confidence interval: ( -0.21, 0.05)
The reason for this is that a p-value of 0.047 is less than the 5% significance level (0.05), indicating that the results are statistically significant. The 95% confidence interval includes zero, which means that the difference between the two population proportions could be zero, supporting the null hypothesis.
The other options (p-value = 0.179, p-value = 0.201, and 95% confidence interval: (0.03, 0.09)) are not valid results because the p-values are greater than the 5% significance level, indicating that the results are not statistically significant. The 95% confidence interval does not include zero, which means that the difference between the two population proportions is likely not zero, contradicting the null hypothesis.
Similar Questions
A two-sided hypothesis test for the difference between two population proportions provided statistically significant results at the 5% significance level. Check all the results below that could be the outcome of this test.
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