A t-test of differences resulted in a test statistic of t = 3.644 and a p-value of 7.2 × 10-4 .Use the drop-down boxes to correctly state the decision for this test with reason.We decided in favour of the Answer because the p-value is Answer than 0.05Question 1.4 (1 mark)Which ONE of the following statements is the correct conclusion for this hypothesis test?There is evidence that the speed of a ladybug is not related to whether a predator is present or not.There is evidence that the speed of a ladybug is independent of whether a predator is present or not.There is no evidence that the true mean difference in the speed of ladybugs before and after the presence of a predator differs from zero.There is evidence that the true mean difference in the speed of ladybugs before and after the presence of a predator differs from zero.Question 1.5 (2 marks)Identify two conditions which need to be satisfied for this conclusion to be valid.Condition 1: (Choose ONE option)There need to be the same number of ladybugs in the before and after groups.The ladybugs in the sample need to be representative of the population.The ladybugs need to be randomly selected.There need to be the same number of predators for each ladybug.Condition 2: (Choose ONE option)There needs to be a linear relationship.The population needs to be normal.The sampling distribution needs to be normal.The sample size needs to be big enough.

The p-value criterion for hypothesis testing is to reject the null hypothesis if:Group of answer choices

Which of the following statements is NOT true regarding p-value? The result of every hypothesis test includes a p-value The p-value is the true test of significance The p-value represents the probability that the null hypothesis is TRUE If the p-value is less than or equal to 0.05, there is NOT a significant difference -- fail to reject the Null hypothesis

Which of the following facts about the p-value of a test is correct? The larger the p-value, the more evidence the data provide against H0. Regardless of the significance level, a p-value of 0.01 provides enough evidence to reject H0. A p-value smaller than the significance level provides enough evidence to reject H0.

In testing the hypothesesH0: μ = 75.HA: μ < 75,the p-value is found to be 0.042, and the sample mean is 80. Which of the following statements is true?Group of answer choicesNone of the above statements is correct.The probability of observing a sample mean at most as large as 75 from a population whose mean is 100 is 0.042.The probability that the population mean is smaller than 75 is 0.042.The smallest value of α that would lead to the rejection of the null hypothesis is 0.042.

Which of the following facts about the p-value of a test is correct? Check all that apply. The p-value is calculated under the assumption that the null hypothesis is true. The smaller the p-value, the more evidence the data provide against H0. The p-value can have values between −1 and 1.