(a) State the hypotheses used in performing this test. (b) Using the output above, state the decision (Reject or Not Reject Ho) of the hypothesis test, as well as why you made that decision. (c) Based on the decision you made, state your conclusion in the context of the problem.
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- I. Do the following:a. State the null and alternative hypotheses, identify which represents the claim,b. Determine when a type I or type II error occurs for a hypothesis test of the claim.c. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Explain your reasoning.d. Explain how you should interpret a decision that rejects the null hypothesis.e. Explain how you should interpret a decision that fails to reject the null hypothesis.ProblemAn agricultural cooperative guarantees that the mean shelf life of a certain type of dried fruit is at least 400 days.II. Conduct a hypothesis testA research center claims that less than 50% of senior high school students in public schools in the Philippines have accessed the Internet using cellular phones. In a random sample of 100 SHS students, 39% say they have accessed the Internet using cellular phones. At = 0.01, is there enough evidence to support the researcher’s claim?(d) Decide whether to reject or fail to reject the null hypothesis. O A. Fail to reject H, because the test statistic is in the rejection region(s). O B. Reject H, because the test statistic is not in the rejection region(s). O C. Fail to reject Ho because the test statistic is not in the rejection region(s). D. Reject Ho because the test statistic is in the rejection region(s). (e) Interpret the decision in the context of the original claim. A. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is $24,000. B. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is $24,000. C. At the 5% level of significance, there is sufficient evidence to reject the claim that the mean price is not $24,000. O D. At the 5% level of significance, there is not sufficient evidence to reject the claim that the mean price is not $24,000.For each hypothesis test you complete, please answer questions (a) through (i) listed below. (a) What conditions should you check first before you conduct the hypothesis test? (b) Write the null and alternative hypotheses. (c) What type of test are you doing: right-tailed, left-tailed or two-tailed? (d) What formula should be used for the test statistic? (e) What number is the test statistic equal to? (f) Sketch a graph of the p-value (g) What p-value do you obtain? Round to the ten-thousandths. (h) Do you reject the null hypothesis or fail to reject the null hypothesis? Explain. (i) Please write a conclusion sentence, in the context of the problem, that explains to a lay person the result of the hypothesis test. Please answer D E F G H I 6. Weights of Sugar Packets A student of the author ran-domly selected 70 packets of sugar and weighed the contents of eachpacket, getting a mean of 3.586 g and a standard deviation of 0.074g. Test the claim that the weights of the sugar packets have…
- For each hypothesis test you complete, please answer questions (a) through (i) listed below. (a) What conditions should you check first before you conduct the hypothesis test? (b) Write the null and alternative hypotheses. (c) What type of test are you doing: right-tailed, left-tailed or two-tailed? (d) What formula should be used for the test statistic? (e) What number is the test statistic equal to? (f) Sketch a graph of the p-value (g) What p-value do you obtain? Round to the ten-thousandths. (h) Do you reject the null hypothesis or fail to reject the null hypothesis? Explain. (i) Please write a conclusion sentence, in the context of the problem, that explains to a lay person the result of the hypothesis test.A group of 250 patients was randomly split into two groups of 125 patients. The first group of 125 patients was given treatment A, and 72 of them improved their condition. The second group of 125 patients was given treatment B, and 60 of them improved their condition. Perform a hypothesis test to investigate whether there is evidence of a difference between the two treatments. What is the p-value of the test?State the null and alternative hypotheses. The proportion of female students (1) is different than the proportion of male students (2). Ho: P₁ = P₂ H₁: P₁ P₂ Ho: P₁ P2 H₁: P₁ P₂ Ho: P₁ P₂ H₁: P₁ P₂ Ho: P₁ P2 H₁: P₁ = P₂
- 7. You have seen this question before. Human volunteers were asked to try five types of meat products. One of these was dog food; the others were various types of pâté. The volunteers were asked which of the five was their favorite. Two out of 18 volunteers chose the dog food. Is there evidence that people prefer human food over dog food? Show all four steps of hypothesis testing.For each hypothesis test you complete, please answer questions (a) through (i) listed below. (a) What conditions should you check first before you conduct the hypothesis test? (b) Write the null and alternative hypotheses. (c) What type of test are you doing: right-tailed, left-tailed or two-tailed? (d) What formula should be used for the test statistic? (e) What number is the test statistic equal to? (f) Sketch a graph of the p-value (g) What p-value do you obtain? Round to the ten-thousandths. (h) Do you reject the null hypothesis or fail to reject the null hypothesis? Explain. (i) Please write a conclusion sentence, in the context of the problem, that explains to a lay person the result of the hypothesis test.The mean SAT Score in mathematics is 523. The standard deviation of these scores is 39. A special preparation course claims that the mean SAT score, u, of its graduates is greater than 523. An independent researcher tests this by taking a random sample of 33 students who completed the course; the mean SAT score in mathematics for the sample was 541. Assume that the population is normally distributed. At the 0.01 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 523? Assume that the population standard deviation of the scores of course graduates is also 39. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, : H : (b) Determine the type of test statistic to use. D=D OSO (Choose one) (c)…
- You may need to use the appropriate appendix table or technology to answer this question. In 2012, seventy percent of Canadian households had an internet connection. A sample of 370 households taken in 2013 showed that 76% of them had an internet connection. We are interested in determining whether or not there has been a significant increase in the percentage of the Canadian households that have internet connections. (a) State the null and alternative hypotheses to be tested. (Enter != for as needed. Let p be the proportion of all Canadian households with internet connections.) Ho: на: (b) Compute the test statistic. (Round your answer to two decimal places.) (c) The null hypothesis is to be tested at the 5% level of significance. Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic (d) What do you conclude? Do not reject Ho. We can conclude that there has been a…(b)Based on your answer to part (a), which statement below is true? Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. Since the p-value is greater than the level of significance, the null hypothesis is rejected. Since the p-value is greater than the level of significance, the null hypothesis is not rejected.A refrigerator manufacturer claims that the mean life of its competitor's refrigerators is less than 16 years. You are asked to perform a hypothesis test to test this claim. (a) How would you write the null and alternative hypothesis if you represent the manufacturer and want to support the claim? (b) How would you write the null and alternative hypothesis if you represent the competitor and want to reject the claim? (a) Ho Ha ▼ 16 16