More errors For each of the following situations, statewhether a Type I, a Type II, or neither error has been made.a) A test of H0: p = 0.8 vs. HA: p 6 0.8 fails to reject thenull hypothesis. Later it is discovered that p = 0.9.b) A test of H0: p = 0.5 vs. HA: p ≠ 0.5 rejects the nullhypothesis. Later is it discovered that p = 0.65.c) A test of H0: p = 0.7 vs. HA: p 6 0.7 fails to reject thenull hypothesis. Later is it discovered that p = 0.6.

1. The incidence of cancer among phosphate mine workers and their exposure to radiation was investigated. Cancer incidence was recorded among 60 phosphate mine workers who had 0-29 working level months (WLM) of exposure, 60 phosphate mine workers who had 30-89 WLM of exposure, and 60 phosphate mine workers who had 90-120 WLM of exposure. The number of cancer incidences for each group are presented in Table 1. Table 1: Two-way Table of Counts Cancer Incidence Exposure Level Yes No Total 0-29 WLM 20 40 60 30-89 WLM 33 27 60 90-120 WLM 43 17 60 Total 96 84 180 Perform a x? test, at the 5% level of significance, whether cancer incidence rates differ between the three levels of radiation among phosphate mine workers.

In a food preference experiment, 80 lizards were given the opportunity to choose to eat one of three different species of insects. The results showed that 33 of the lizards chose species A 12 chose species B, and 35 chose species C. They conducted a Chi-squared analysis to test for equal preference. What are the Null and Alternate hypotheses for this test? Clearly label your answers as HO or H1. (Do not use a numerical format. Both of your statements must be in sentence form, and say something about the lizards' preference in order to receive credit.) Edit View Insert Format Tools Table 12pt Paragraphv BI Y A

I. Express the null learning hypothesis Ho and the alternative hypothesis Ha in notation form in the following scenario.

Let’s assume the average income for all majors in the School of Engineering is $80,000. However, the chair of the Computer Science department thinks their students earn more than that. Please choose the appropriate null and alternative hypotheses if the chair wanted to test this belief. a. H0: u <=80,000 Ha: u > 80,000 b. H0: u= 80000 Ha: u not= 80000 c. H0: u >80000 Ha: u < 80000 d. H0: u >80000 Ha: < 80000 e. None of the above.

Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating class: Finance Majors Business Analytics Majors = 140 n2 = 30 X1 = $48,137 X2 = $55,217 S1 $19,000 S2 $10,000 %3D (a) Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors. Use = 0.05. (Let µ, = the population mean salary for Finance majors, and let u, = the population mean salary for Business Analytics majors. Enter != for + as needed.) Ho: Ha: (b) What is the value of the test statistic? (Use u, uz. Round your answer to three decimal places.) (c) What is the p-value? (Round your answer to four decimal places.) p-value %3D

In a recent Super Bowl, a TV network predicted that 48 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 103 people who saw the commercials and found that 46 of them said they would watch one of the television shows. Suppose you are have the following null and alternative hypotheses for a test you are running: Но: р 3 0.48 Ha:p + 0.48 (a) Calculate the sample test statistic: (b) Calculate the standardarized test statistic (the z-score). Check Answer M

​(a) Identify the claim and state H0 and Ha. (b) Use technology to find the​ P-value. (c) Decide whether to reject or fail to reject the null hypothesis and​ (d) interpret the decision in the context of the original claim.

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