Question 30 (1 point) An experiment is performed to investigate the best way to produce a chemical solution. Three different preparation methods are considered, and various trials are conducted with each method. The resulting solutions are classified as being either too weak, satisfactory, or too strong. The following data is observed. Test at alpha = .05 level of significance. What is the Chi-squared test statistic? Round your answer to 3 decimal places. | Method | Weak | Satisfactory | Strong | | :--- | :--- | :--- | :--- | | A | 11 | 42 | 18 | | B | 20 | 89 | 17 | | C | 19 | 30 | 22 | Your Answer: Question 31 (1 point) An experiment is performed to investigate the best way to produce a chemical solution. Three different preparation methods are considered, and various trials are conducted with each method. The resulting solutions are classified as being either too weak, satisfactory, or too strong. The following data is observed. Test at alpha = .05 level of significance. What are the degrees of freedom? | Method | Weak | Satisfactory | Strong | | :--- | :--- | :--- | :--- | | A | 11 | 42 | 18 | | B | 20 | 89 | 17 | | C | 19 | 30 | 22 | Your Answer: Question 32 (1 point) An experiment is performed to investigate the best way to produce a chemical solution. Three different preparation methods are considered, and various trials are conducted with each method. The resulting solutions are classified as being either too weak, satisfactory, or too strong. The following data is observed. Test at alpha = .05 level of significance. What is the p-value? Round your answer to 3 decimal places. | Method | Weak | Satisfactory | Strong | | :--- | :--- | :--- | :--- | | A | 11 | 42 | 18 | | B | 20 | 89 | 17 | | C | 19 | 30 | 22 | Your Answer:
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\[ \begin{array}{|c|c|c|c|} \hline \text{Method} & \text{Weak} & \text{Satisfactory} & \text{Strong} \\ \hline \text{A} & 11 & 42 & 18 \\ \hline \text{B} & 20 & 89 & 17 \\ \hline \text{C} & 19 & 30 & 22 \\ \hline \end{array} \] Show moreβ¦
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Determine (a) the chi squared test statistic, (b) the degrees of freedom, (c) the critical value using alpha equals 0.05, and (d) test the hypothesis at the alpha equals 0.05 level of significance. Outcome A B C D Observed 38 38 43 41 Expected 40 40 40 40 H 0: p Subscript A equals p Subscript B equals p Subscript C equals p Subscript D equals one fourth H1: At least one of the proportions is different from the others. (a) The test statistic is _______. (Type an exact answer.) (b) There are ________ degrees of freedom. (c) The critical value is ________. (Round to three decimal places as needed.) (d) Should the null hypothesis be rejected? A. No because chi Subscript 0 Superscript 2 is less than or equal to chi Subscript 0.05 Superscript 2. B. Yes because chi Subscript 0 Superscript 2 is less than or equal to chi Subscript 0.05 Superscript 2. C. Yes because chi Subscript 0 Superscript 2 is greater than chi Subscript 0.05 Superscript 2. D. No because chi Subscript 0 Superscript 2 is greater than chi Subscript 0.05 Superscript 2.
Madhur L.
1. Parametric statistics are appropriate when: Select one: a. the sample size is small. b. the data are nominal data. c. the sampling distribution is normally distributed d. All of the above. 2. The is a symmetrical, bellβshaped distribution that is contingent on sample size. It has a mean of zero and a standard deviation equal to one. Select one: a. chi square distribution b. t distribution c. ANOVA d. F distribution 3. In the legal profession, a Type I error would be equivalent to: Select one: a. none of the above. b. flipping a coin to determine if a man goes to prison or not c. sending an innocent man to prison d. setting a guilty party free 4. All of the following are steps involved in calculating the chiβsquare statistic, EXCEPT: Select one: a. Calculate the chi square value. b. Formulate the null hypothesis and determine the expected frequency of each answer. c. Calculate the sample mean. d. Determine the appropriate significance level. 5. The idea that βthere is a significant difference in brand preference between males with incomes under $50,000 and males with incomes over $50,000β is an example of: Select one: a. Type II error. b. the alternative hypothesis. c. Type I error. d. the null hypothesis. 6. What type of error is made when the null hypothesis is false, but is not rejected? Select one: a. Type III b. Type I c. Type II d. sampling error 7. Statistically describing the relationship between two variables at one time, such as sales volume and gross national product, requires . Select one: a. univariate data analysis b. bivariate data analysis c. nonparametric data analysis d. multivariate data analysis 8. The idea that βthere is no difference in buying behavior between males and females in the age group 25-49β is an example of: Select one: a. the alternative hypothesis. b. the null hypothesis. c. Type I error. d. Type II error. 9. A private art museum sponsoring a program of summer art classes for children expects an equal number of boys and girls. A random sample of its list of students shows there are more girls than boys. The appropriate univariate test for statistical significance is the: Select one: a. t test b. chi square test c. F-test d. Z test. 10. The region of ______________ shows those values that are very unlikely to occur if the null hypothesis is true, but relatively probable if the alternative hypothesis is true. Select one: a. rejection b. nonparametric c. alternatives d. acceptance
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