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when a null hypothesis is false after using the one-way ANOVA, it indicates there is some overlap, but the researcher still does not know exactly which variable is overlapping and by how much. This can lead to a type I error. To avoid this, _____ will decrease the likelihood of error.
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- If a treatment is expected to decrease scores on a variable for which the mean is expected to be µ = 50, what is the null hypothesis?A well-known brokerage firm executive claimed that at least 90% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 800 people, 88% of them said they are confident of meeting their goals. What would be our formal conclusion about the null hypothesis at a 0.05 significance level?What would our cutoff Z-score be if we want to do a two-tailed test and use an alpha of .01?
- One-way ANOVA Conditions Observations in each group is a random sample from a Normal population. • All populations have the same variance. Assumption considered reasonable if the largest sample SD is no larger than twice the smallest sample SD. • Samples are independent. • Normality assumption may be waived if each sample is greater than 20. Results are considered approximate question-Does it seem reasonable to make the assumptions needed to use the ANOVA procedure for these data? Justify your answer by referring to the above outputs. Produce the Density Trace and Normal Probability Plot of the Residuals.In a certain right-sided test with large amples, the z-statistic of the sample is obtained to be 2.3. If the Type error is assumed to be 5%, should we reject the null hypothesis?You may need to use the appropriate technology to answer this question. The following table contains observed frequencies for a sample of 200. RowVariable Column Variable A B C P 22 46 52 Q 28 24 28 Test for independence of the row and column variables using ? = 0.05. State the null and alternative hypotheses. H0: Variable P is not independent of variable Q.Ha: Variable P is independent of variable Q.H0: The column variable is independent of the row variable.Ha: The column variable is not independent of the row variable. H0: The column variable is not independent of the row variable.Ha: The column variable is independent of the row variable.H0: Variable P is independent of variable Q.Ha: Variable P is not independent of variable Q. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. We conclude that there is an association…
- A random sample of n₁ = 16 communities in western Kansas gave the following rates of hay fever per 1000 population for people under 25 years of age. 121 115 124 99 134 121 110 116 113 96 116 116 135 96 96 116 A random sample of n₂ = 14 communities in western Kansas gave the following rates of hay fever per 1000 population for people over 50 years old. 113 86 106 102 113 94 94 108 103 99 78 105 88 100 Assume that the hay fever rate in each age group has an approximately normal distribution. Using the method outlined in Brase and Brase, do the data indicate that the age group over 50 has a lower rate of hay fever? Use a = 0,05. Do you reject or fail to reject the null hypothesis? Are the data statistically significant at the α = 0.05 level of significance?Although the samples are actually related, an investigator ignores this fact in the statistical analysis and uses a t test for two independent samples. How will this mistake affect the probability of a type II error?Under the logic of the hypothesis test of ANOVA, the F-statistic is made up of the ratio of Mean Squares between over Mean Squares within: F = MS Between MSwithin If the variance observed in an ANOVA relationship does not have enough of an MS Between effect There is too much noise in your system, and you should try your experiment again to confirm the findings. The F-ratio will approach 1 in the long run, since there is no MS Between effect. The F-ratio will become relatively large, since there is more variance to work with. O The F-ratio will approach 0 in the long run, since the MS Within will cancel out the effect.
- To identify the correct Z(critical), it is important to determine whether the hypothesis test is one-tailed or two-tailed. The decision between a one- and two-tailed hypothesis is based on the researcher's expectations about the population from which the sample was selected. Many people believe that millennials are having more sex than people during the sexual revolution. You wonder whether the cohort currently in their twenties had sex at an earlier age than older generations. Assume that the the average age of first sexual intercourse is 17.4 years. You obtain a sample that yields a sample mean of X = 15.9 years. Let u denote the average age of first sexual intercourse. Formulate your null and research hypotheses by selecting the appropriate values in the dropdown menus that follow. Ho: (H₁: The test you conduct is test. Note: A one-tailed test is described as a lower-tailed test if the null hypothesis is rejected for values of the test statistic in the lower tail of its…If other factors are held constant, explain how each of the following influences the value of the independent-measurest statistic and the likelihood of rejecting the null hypothesis: An increase in the mean difference between the samples. An increase in the number of scores in each sample. An increase in the variance for each sample.Your friend believes that he has found a route to work that would make your commute faster than what it currently is under similar conditions. Suppose that data were collected for a random set of 7 days, where each difference is calculated by subtracting the time taken on the current route from the time taken on the new route. Assume that the populations are normally distributed. What type of test is this hypothesis test? Select the correct answer below: O This is a left-tailed test because the alternative hypothesis is H: H 0 O This is a left-tailed test because the alternative hypothesis is H0 O This is a two-tailed test because the alternative hypothesis is H:Hu 0. 0 This is a right-tailed test because the alternative hypothesis is Њ : d > 0. O This is a right-tailed test because the alternative hypothesis is H: H 0.