State whether each of the following hypothesis tests is valid or not, if not explain why. a. H0 ∶ μ1 - μ2 > 0 vs Ha∶ μ1 - μ2 = 0 b. H0 ∶ μ = 10 vs Ha ∶ μ < 10
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State whether each of the following hypothesis tests is valid or not, if not explain why.
a. H0 ∶ μ1 - μ2 > 0 vs Ha∶ μ1 - μ2 = 0
b. H0 ∶ μ = 10 vs Ha ∶ μ < 10
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- The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 40 n2 = 50 x-bar1 = 25.5 x-bar2 = 22.8 σ1 = 5.2 σ2 = 6.0 What is the value of the test statistic? What is the p-value? With α = 0.05, what is your hypothesis testing conclusion?The P-value for a hypothesis test is 0.083. For each of the following significance levels, decide whether the null hypothesis should be rejected. a. α = 0.05 b. α = 0.10 c. α = 0.06Given the situation below, create a problem and determine (a) the null and alternative hypotheses, (b) test statistic, (c) rejection region, and (d) applicability of the CLT.
- what is measured by Cohen's d for a hypothesis test with a t statistic?If a hypothesis test were conducted using a 5% level of significance, for which of the following p-values would the null hypothesis be rejected? A. 0.0367 B. 0.0501 C. 0.100 D. 0.299The following hypothesis test is to be conducted.h0: Median ≤ 150ha: Median > 150A sample of 30 provided 22 observations greater than 150, 3 observations equal to 150, and 5 observations less than 150. Use a = .01. What is your conclusion?
- Interpret the following table. What is the application of each test andrelated null hypothesis?Table 6 : DiagnosticsJarque-Bera test JB statistics 1.326 (0.515)Breusch-Godfrey LM test Chi square 0.934 (0.627)Breusch-Pagan-Godfrey test Chi square 12.144 (0.205)Ramsey RESET F-statistics 2.96 (0.106)In performing a hypothesis T-test, the p-value was 0.00046 and the significance level was 5%. What is the conclusion? Is it a,b,or c? a. Reject the null hypothesis and accept the alternate hypothesis b. Accept both the null hypothesis and alternate hypothesis c. Fail to reject the null hypothesisReferring to Table 1, the null hypothesis will be rejected at 1% level of significance. Question 28 options: 1) Do not know 2) No 3) Yes
- The P-value for a hypothesis test is 0.083. For each of the following significance levels, decide whether the null hypothesis should be rejected. a. a = 0.05 b. a = 0.10 c. a = 0.06Test the null hypothesis H0 : β1 = β2 against the alternative H1 : β1 < β2 at 1% significance level.At many college bookstores, students can decide whether to purchase or to rent a textbook for a class. A study was conducted to investigate whether the percent of rented textbooks for all science classes in the state was greater than the percent of rented textbooks for all literature classes in the state. The following hypothesis test was done at the significance level of α=0.05α=0.05. H0:pS=pLHa:pS>pLH0:pS=pLHa:pS>pL In the hypotheses, pSpS represents the proportion of all science textbooks that are rented, and pLpL represents the proportion of all literature textbooks that are rented. All conditions for inference were met, and the resulting pp-value was 0.035. Which of the following is the correct decision for the test? The pp-value is less than αα. Since 0.035<0.050.035<0.05, the null hypothesis is rejected, and the claim is supported. There is convincing statistical evidence that the proportion of all science textbooks that are rented is greater…