Question: Help me please I. 1. A random sample of 49 business establishments shows that the average monthly water consumption is 35 cubic meters with a
Help me please
I.











1. A random sample of 49 business establishments shows that the average monthly water consumption is 35 cubic meters with a standard deviation of 5 cubic meter. Test the hypothesis that the average monthly water consumption is 34 cubic meters at 1% level of significance. 2. The average weight of 9 Grade 6 pupils is 36 kg with a standard deviation of 0.4 kg. Is there a reason to believe that the pupil's average weight is less than 36.3 kg at 5% level of significance?3. A random sample of 16 drinks from a soft drink machine has the following contents(ml): 250 280 290 265 270 280 280 300 275 295 300 285 290 300 250 260 The population mean content is 275 ml. Assume that the distribution of the soft drinks contents be normal. Is there a significant difference between the sample and the population mean contents of the soft drinks? Use a 90% confidence level?It. The null hypothesis is rejected. 1What does it mean? A. The null hypothesis is incorrect. B. The alternative hypothesis is true. C. There is enough evidence against the null hypothesis. D. There is a very small probability that the null hypothesis is true. If the t-computed value is 2.430 and the critical value is 2.011. what will be the decision? A. Reject the null hypothesis. B. Support the null hypothesis. C. Reject the alternative hypothesis. D. Do not reject the null hypothesis. What is the third step in the hypothesis testing procedure? A. Draw conclusion. E. State the null and alternative hypotheses. C. Determine the test statistic and compute it. D. Find the critical value for the test: then draw the critical region. In a left-tailed test, what will you do if the critical value is less than the computed value? A. Reject the null hypothesis. H. Do not reject the null hypothesis. C. Reject the alternative hypothesis. D. Do not reject the alternative hypothesis. The t-computed value is 1.8?5 and the critical value is 2.030. What conclusion can be drawn? A. Reject the null hypothesis. H. Fail to reject the null hypothesis. C. Reject the alternative hypothesis. D. Fail to reject the alternative hypothesis. 6. What does it mean if a result is said to be significant at 1% level? A. The null hypothesis is 99% true. B. The null hypothesis is 99% wrong. C. We fail to reject the false null hypothesis 1% of the time. D. There is a 1% probability that a true null hypothesis is rejected. 7. It is a value that separates the acceptance region from the rejection region in a normal curve when testing the hypothesis? A. t-value C. critical value B. z-value D. computed value 8. What should you do if the computed z-value lies in the critical region? A. Reject the null hypothesis. B. Reject the alternative hypothesis. C. Do not reject the null hypothesis. D. Do not reject the alternative hypothesis. 9. The mean height of women is less than 64" (inches). Which of the following represents the null and alternative hypotheses? A. Ho: 1 2 64" C. Ho: H 64" 10. In the hypothesis testing procedure, drawing conclusion should always be the step. A. first B. second C. third D. last 11. A one sample t-test is conducted on Ho: p = 81.6. The sample has a mean of 84.1, s = 3.1, n = 25, and a = .01. What conclusion can be drawn? A. Reject Ho. C. Fail to reject Ho. B. Reject Ha. D. Fail to reject Ha.12. Perform a hypothesis test where the null hypothesis is that the p = 6.9. A random sample of 16 items is selected. The sample mean is 7.1 and the sample standard deviation is 2.4. It can be assumed that the population is normally distributed at a = 0.05. A. There is enough evidence to reject the claim. B. There is enough evidence to support the claim. C. There is not enough evidence to reject the claim. D. There is not enough evidence to support the claim. 13. If the computed t-value is 2.130 while the critical value is 2.086, what conclusion can be drawn? A. Reject both the null and alternative hypotheses. B. Fail to reject the null and alternative hypotheses. C. Reject the null hypothesis in favor of the alternative hypothesis. D. Fail to reject the null and the alternative hypothesis is not supported. 14. After formulating the hypotheses, what is the next step in the hypothesis testing procedure? A. Draw conclusion. B. Choose the level of significance. C. Determine the test statistic and compute it. D. Find the critical value and draw the critical region. 15. Find the critical value(s) for a two-tailed test with a = 0.05. A. z = -1.65 B. z = 10.06 C. z = 1.65 D. z = $1.961. Which of the following is the correct symbol for hypothesized proportion? A p. B. p C. H]: D. Ho 2. What is the correct alternative hypothesis in sentence form of the statement: Ha : p a! 0.21? A. The proportion of male in a certain harany is 21%. E. The proportion of male in a certain harangajlr is fewer by 21%. C. The proportion of male in a certain harangajr is different from 21%. D. The proportion of male in a certain harangajr has increased by 2 1%. 3. Which of the following words is used in a null hypothesis written in sentence form? A. equal E. fewer C. higher D. lower 4. A researcher will use a one-tailed test on his research study concerning population proportions. lCine-tailed test is also called A. one-sided E. one-region C. directional D. non-directional 5. Which of the following statements is true about alternative hypothesis on a population proportion? A. It is represented 11th E. It is used as a basis to determine the location of the mitreme values. C. It is the competing claim that the parameter is equal to a specic value. D. It is a claim that the proportion is equal to the hypothesized proportion. 6. Before the opening of classes. parents were asked to answer a survey. Those in favor of alternative learning mode were 1,900 out of 5.000 randoltnlyr selected parents. Using a - 0.10 level. is there enough evidence to conclude that the percentage of parents who are in favor of alternative learning mode is less than 33%? What is the appropriate alternative hypothesis? .3. E. Ha: p}.33 C. Ha: p'.33 Ha: Ill-.33 D.Ho: P#.33 \"I". In problem no. 6, formulate the correct null hypothesis. 3.. E. The proportion of parents who are in favor of alternative learning mode is 33%. The proportion of parents who are in favor of alternative learning mode is not equal to 33%. The proportion of parents who are in favor of alternative learning mode has increased by 33%. The proportion of parents who are in favor of alternative learning [node is more than 33%. 3. A starve}.r conducted last year by certain harangajr ofcials showed that 40% of the residents owned a private car. This year a new survey is conducted on STE: residents selected randome from the same harangay. It was found out that 190 of them own a car. Test if the claim is fewer at a = 0.01 level. Formulate the appropriate null hypothesis. H. Ho: p=.40 C. Ha.- p{.4 E. Ha: p=.4 D. Ho: Iii-40 9. In problem #3, what is the correct alternative hypothesis in sentence form? A. E C. The proportion of residents who owned a private car is 40%. The proportion of residents who owned a private car is higher than 40%. The proportion of residents who owned a private car has changed to 40%. The proportion of residents who owned a private car is fewer than 40%. 10. In a certain senior high school, a study found that 972 out that 1,100 Grade 12 students use smartphones. Using a = 0.10 level, is there enough evidence to conclude that the percentage of students who are using smartphones is different from 25%? What is the appropriate alternative hypothesis? A. Ha: P > .25 C. Ha p=.25 B. Ha: p <.25 d. ha: p in problem no. what type of test is used a. directional c. one-tailed b. one-sided non-directional the president a certain food chain claims that his customers are very satisfied with service they receive. order to claim survey was conducted among randomly chosen. them said satisfied. there enough evidence say at level significance formulate null hypothesis. ho:> 0.70 13. In problem no. 12, what is its alternative hypothesis? A. Ha: p # 0.70 C. Ha: p = 0.70 B. Ha: p 0.70 14. Suppose a TV network claims that at least 6% of their 15,000 employees are living in a condominium unit in the city. A survey was conducted randomly among 500 employees. Assume a significance level of 0.05. What is the appropriate alternative hypothesis of this study? A. Ha: p # 0.06 C. Ha: p 0. 06 D. Ho: p = 0. 06 15. In problem no. 14, what specific type of test is applied? A. directional C. one-tailed test B. left-tailed test D. non-directional1. It is a part of the sample with a particular trait expressed in decimal, percent, or fraction. A. sample C. sample proportion E. population D. population proportion 2. It is the symbol used to represent the size of the samples. A. n. E. 3i (3. p D. x 3. What is the sample proportion if n - Til-ID and: - 259? A. 0.35 E. 0.50 C. I156 D. 0.65 4. In a study about household income conducted in a small town, it was found out that Till: ofall families in the town earn less than P4,DGD per month. Out of 64 families who were randomly seleCtEd, 10 families earn less than P4300 per month. Is the sample large enough to use the Central Limit Theorem? A. No, because 10,!64 5 5 C. Yes, because 64330 E. No, because MIGHT] 5 5 D. Yes, because 4[.93]35 5. In testing hypothesis involving population proportion, when do we say that the sample size [n] is sufciently large to use the Central Limit Theorem? A. if n330 E. if no 100 C. if np35, 11ng n. ifn!ps$.11fq5 6. Compute for the value of 15 if n = T40 and s = 259. A. 0.35 B. 0.40 C. 0.52 D. 2.36 T. Which formula for the test statistic is appropriate if the Central Limit Theorem is used in testing hypothesis on population proportion? p,\" gemf; B. 3,\".. C. PM: [LE-EB 8. An insurance company reported that 30% of those persons involved in minor traffic accidents this year have been involved in at least one traffic accident in the last three years. Believing it was too large, an advisory group decided to investigate this claim. A sample of 200 traffic accidents this year showed that 56 persons were also involved in another accident in the last three years. Determine the value of the population proportion. A. 0.28 B. 0.30 C. 3.57 D. 60.0 9. In problem no. 8, what is the value of p? A. 0.28 B. 0.35 C. 3.57 D. 60.0 10. In a certain senior high school, it is estimated that approximately 15% of the students ride bicycles in going to school. In a random sample of 90 senior high students, 19 are found to ride bicycles in coming to class. What is the value of the population proportion? A. 0.15 B. 0.21 C. 0.29 D. 4.74 11. Which of the following test statistic is appropriate to use in testing hypothesis involving population proportion? A. t-test B. z-test C. p-test D. c-test 12. Before a nationwide election, a polling place was trying to see who would win. Which choice best represents the sample? A. a selection of male voters B. a selection of female voters C. a selection of voters over age 50 D. a selection of voters of different ages 13. A computer store surveys its clients who purchased laptop computers to ask what software the store should include in its computers. Identify the population. A. clients on the store B. computer manufacturers C. clients who are interested in software D. clients who purchased laptop computers14. In Karangalan State University, 78% of all students are receiving financial assistance or recipients of scholarship programs. The school paper selects a random sample of 100 students and 72% of the respondents say they are receiving some sort of financial support. Which of the following is true? A. 100 represents the 72% of the students. B. 78% is the population proportion and 100 is the sample proportion. C. 78% is the sample proportion and 78% is the population proportion. D. 78% is the population proportion and 72% is the sample proportion. 15. In a learning study, 1,200 respondents were asked if they can assimilate concepts while watching television wherein 586 said YES. What is the population proportion of those who said NO? A. 0.48 B. 0.49 C. 0.51 D. 0.58
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