== 13.6 A multinomial experiment with k = 3 cells and n = 320 produced the data shown in the accompanying table. Do these data provide sufficient evidence to contradict the null hypothesis that p₁ = .25, P2 = .25, and pз = .50? Test, using a = .05. p3 Cell 1 2 3 ni 78 60 182
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- Do types of crimes reported on television newscasts differ by the age of the criminals? A researcher uses her dvr to record the local television news for a 2-week period of time. She records the types of crimes and notes the age of the offender. Conduct a chi-square test (alpha = .05) of the null hypothesis that televised offense type does not vary by age group of offender. Offense type Young middle age older violent 27 10 3 property 14 12 11 sex 7 9 5 Report the obtained chi-square, df, and critical chi-square. Report your findings based on the null hypothesis.You sample 1500 dung beetles in a population for 2 alleles A1 and A2 and get the following data: A1A1 825 individuals A1A2 525 individuals A2A2 135 Individuals Is this population in Hardy Weinberg Euilibrium, use a chi square test to determine?A two-way ANOVA experiment with interaction was conducted. Factor A had three levels (columns), factor B had five levels (rows), and six observations were obtained for each combination. Assume normality in the underlying populations. The results include the following sum of squares terms: SST=1542 SSA= 1042 SSB = 358 SSAB = 39 a. Construct an ANOVA table. (Round "MS" to 4 decimal places and "F" to 3 decimal places.) ANOVA Source of Variation Rows Columns Interaction Error Total SS 0 df Answer is not complete. 0 MS F p- value 0.000 0.000 0.002
- The salaries of a random sample of 12 teachers from state A and 12 teachers from state B are shown in the table. At alpha= 0.05, is there enough evidence to support the claim that there is a difference in the salaries earned by teachers in state A and state B? Calculate the test statistic. State A B OA. 1.41 OB. -2.17 OC, 0.66 OD. -0.84 Teacher's Salary (thousands of dollars) 41 44 44 33 48 38 41 24 28 35 25 44 17 27 38 26 22 16 49 29 24 35 50 40A researcher is concerned about Australians’ physical activity during the lockdown. S/he wants to understand whether the frequency of physical activity during the COVID-19 lockdown depends on the types of physical activity. The following table shows the frequency of doing different types of physical activity during lockdown in a random sample of Australians (n= 218218). Use the table to answer the questions which follow. What proportion of the participants in the study did physical activity several times? What proportion of the Running or jogging participants exercised weekly? What proportion of the participants who exercised daily were Yoga participants? The researcher would like to answer the following research question: “Do Australians’ frequency of physical activity during lockdown depends on the exercise types?” S/he sets up the following null and alternative hypotheses to answer the research question. ?0:H0: There is no association between types of physical activity and…A farmer has two types of beans and wants to determine which produces a better bean of greater nutritional content. A geneticist was employed to do the investigation examining genotype with nutritional content. The results were as follows: Nutritional Content Genotype High Low bb 8 4 Bb 6 2 Perform a chi square to test the association between genotype and nutritional content. State the null and alternative hypotheses and determine at 95% level of accuracy. Which hypotheses would be accepted?
- The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,95110,951 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 184184 of their customers and calculates that these customers used an average of 11,162kWh11,162kWh of electricity last year. Assuming that the population standard deviation is 1263kWh1263kWh, is there sufficient evidence to support the power company's claim at the 0.050.05 level of significance? Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.HELP PLS!4.21. An industrial engineer is conducting an experiment on eye focus time. He is interested in the effect of the distance of the object from the eye on the focus time. Four different distances are of interest. He has five subjects available for the experiment. Because there may be differences among individu- als, he decides to conduct the experiment in a randomized block design. The data obtained follow. Analyze the data from this experiment (use a = 0.05) and draw appropriate conclusions. Distance (ft) 4 6 8 10 1 10 7 5 6 2 6 6 3 4 Subject 3 6 3 4 4 6 122 5 6653 2 3 (a) What is the response? What are the factors? How many levels of each factor are used? How many replicates were used? (b) Perform an ANOVA analysis. (c) Prepare appropriate residual plots and comment on the model's adequacy.
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