when performing a hyp test on u when ó is known, Ho can never be rejected ifz >= 0 for a left-tailed testa left tailed test of the population mean is conducted at a=0.10. The calculated test statistic is z= -1.55 and P(Z< -1.55)= 0.0606be rejected since the p-value=0.0606<0.10specify the competing hypotheses that would be used to determine whether the population mean is less than 150Ho: u >= 150 vs Ha: u <150the critical value of a hypothesis test isthe value that separates the rejection region from the non-rejection regionan auditor for a small company suspects that the mean customer account balances have fallen below $550 per month, the bag amount for all customer accounts over the past 5 years. She takes a random sample of 40 accounts and computes the sample mean as $543. State the hypothesis for testing the auditors claimHo: u >= 550 and Ha: u < 550when performing a hypothesis test on u, the p-value is defined as theobserved probability of making a type 1 errorsuppose you are performing a hypothesis test on u and the value of ó is known. At the 10% sig level, the critical value(s) for a left tailed test is (are)-z0.10if the value of the test statistic falls in the rejection region, the p-value must beless than aAlternative Hypothesis HaThe claim about the population that we are trying to find evidence FOR.Hawthorne effectThe fact that almost any change in the work environment together with knowledge that a study is under way will produce a short-term productivity increase.Null hypothesis H0The claim tested by a statistical test. The test is designed to assess the strength of the evidence against the null hypothesis. A statement of "no difference."One-sample t testWith unknown mean μ. To test the hypothesis H0: μ = μ0, compute the one-sample t statistic.The population distribution is Normal or the sample is large (n ≥ 30).One-sample z test for a proportionUnknown proportion p of successes. To test the hypothesis H0: p = p0, compute the z statistic.Use this test only when the expected numbers of successes and failures np and n(1-p) are both at least 10.One-sided alternative hypothesisA parameter is larger than the null hypothesis value or if it states that the parameter is smaller than the null value.P-valueThe probability that the statistic would STATS Page 3
P-value The probability that the statistic would take a value as extreme as or more extreme than the one actually observed. The smaller it is, the stronger the evidence against H0 provided by the data. Paired data Study designs that involve making two observations on the same individual, or one observation on each of two similar individuals. Paired t procedures When paired data result from measuring the same quantitative variable twice, we can make comparisons by analyzing the differences in each pair. If the conditions for inference are met, we can use one-sample t procedures to perform inference about the mean difference Ua.
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- Fall '19
- Statistics, Statistical hypothesis testing