Test Statistic: Observed Difference Null Standard Error Test Statistic z -0.0333 0.116 -0.286 Hypothesis Test: Population Parameter Null Hypothesis Alternative Hypothesis Test Statistic z P-value Difference p? - p? p? - p? = 0 p? - p? ? 0 -0.286 0.774
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We have 30 pairs of data with a mean of differences of 125 and a standard deviation of 2000. We will test the claim that the mean difference is zero at Ī± = 0.01. The test statistic is 0.342, which is greater than the lower critical value of -2.462. The p-value is 0.633, so we do not reject the null hypothesis (H0). Therefore, the conclusion is that the mean difference is greater than or equal to 0. The test statistic is also less than the upper critical value of +2.462. The p-value is 0.367, so we do not reject H0. Therefore, the conclusion is that the mean difference is less than or equal to 0. The test statistic of 0.342 falls within the critical values of Ā± 2.756. The p-value is 0.735, so we do not reject H0. Therefore, the conclusion is that the mean difference is equal to 0.
Madhur L.
A hypothesis / significance test was performed to test the null hypothesis H0: m = 2 versus the alternative hypothesis H1: m > 2. The calculated value of the test statistic is z = 1.40. The one-tailed p-value of the test statistic is:
Sri K.
Let n Subscript 1equals40ā, Upper X 1equals10ā, n Subscript 2equals40ā, and Upper X 2equals30. The testā statistic, Upper Z Subscript STATā, is negative 4.47. ā(Type an integer or a decimal. Round to two decimal places asā needed.) Calculate theā p-value. Theā p-value is 0.000. ā(Type an integer or a decimal. Round to three decimal places asā needed.) Determine a conclusion. Choose the correct answer below. Reject the null hypothesis. There is sufficient evidence to support the claim that there is a significant difference between the two population proportions. b. Construct a 90ā% confidence interval estimate of the difference between the two population proportions. (Type integers or decimals. Round to four decimal places asā needed.)
Breanna O.
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