State the null and alternative hypotheses you would use to test the following situation. Toasted O's are sold in boxes that have an advertised mean weight of 16 ounces. If random sampling is periodically done to check the accuracy of the filling machine, what is the set of hypotheses that should be used? O Ho : u = 16 H1 : u # 16 O Ho : u # 16 H1: µ = 16 Но : и 3D 16 H1 : µ < 16 О Но : и 3 16
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- A researcher assures that in his country, on average, the salary of workers is less than $5000.00. He takes a sample of 7 workers and finds that their salary is: $3900.00, $5100.00, $3100.00, $5500.00, $2700.00, $4500.00, $4100.00 Can you be sure at the 0.02 level of significance that the researcher is correct? Choose 1. The correct conclusion2. The correct interpretation Select one:to)1. H0 is rejected2. With a confidence of 98% it can be ensured that the average wage of the workers is not less than $5000.00b)1. H0 is not rejected2. With a confidence of 98% it can be ensured that the average wage of the workers is not less than $5000.00c)1. H0 is not rejected2. It can be ensured, with 98% confidence, that the average wage of the workers is less than $5,000.00d)1. H0 is rejected2. It can be ensured, with 98% confidence, that the average wage of the workers is less than $5,000.00Assume that a simple random sample has been selected and test the given claim. Use the P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. The ages of actresses when they won an acting award is summarized by the statistics nequals=7878, xequals=35.935.9 years, and sequals=11.411.4 years. Use a 0.050.05 significance level to test the claim that the mean age of actresses when they win an acting award is 3232 years. What are the hypotheses? A. Upper H 0H0: muμequals=3232 years Upper H 1H1: muμless than<3232 years B. Upper H 0H0: muμequals=3232 years Upper H 1H1: muμnot equals≠3232 years Your answer is correct. C. Upper H 0H0: muμequals=3232 years Upper H 1H1: muμgreater than or equals≥3232 years D. Upper H 0H0: muμnot equals≠3232 years Upper H 1H1: muμequals=3232 years Identify the test statistic.…Assume that a simple random sample has been selected and test the given claim. Use the P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.The ages of actresses when they won an acting award is summarized by the statistics n=78, x=35.1 years, and s=11.4 years. Use a 0.01 significance level to test the claim that the mean age of actresses when they win an acting award is 33 years.Question content area bottomPart 1What are the hypotheses?A.H0: μ=33 yearsH1: μ≥33 yearsB.H0: μ=33 yearsH1: μ≠33 yearsC.H0: μ≠33 yearsH1: μ=33 yearsD.H0: μ=33 yearsH1: μ<33 yearsPart 2Identify the test statistic.t=enter your response here (Round to three decimal places as needed.)Part 3Identify the P-value.The P-value is enter your response here. (Round to four decimal places as needed.) Part 4State the final conclusion that addresses the original claim. Choose the…
- Assume that a simple random sample has been selected and test the given claim. Use the P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.The ages of actresses when they won an acting award is summarized by the statistics n=79, x=35.4 years, and s=11.4 years. Use a 0.05 significance level to test the claim that the mean age of actresses when they win an acting award is 32 years.Question content area bottomPart 1What are the hypotheses?A.H0: μ=32 yearsH1: μ≥32 yearsB.H0: μ≠32 yearsH1: μ=32 yearsC.H0: μ=32 yearsH1: μ<32 yearsD.H0: μ=32 yearsH1: μ≠32 yearsPart 2Identify the test statistic.t=enter your response here (Round to three decimal places as needed.)Part 3Identify the P-value.The P-value is enter your response here. (Round to four decimal places as needed.) Part 4State the final conclusion that addresses the original claim. Choose the…Only 19% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 363 randomly selected registered voters surveyed, 91 of them will vote in the upcoming election. What can be concluded at the αα = 0.01 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: _______ (please enter a decimal) H1:H1: ________ (Please enter a decimal)Due to a manufactoring error, three cans of regular soda were accidently filled with diet soda, placed into a 12-pack. Suppose that two cans were randomly selected from the 12-pack. A) determine the probabilty that that neither contain diet soda. Would this be unusual? B) Determine the probabilty that exactly one is diet.
- Suppose in a sample of 400 apples 79 are damaged You want to test the claim the proportion that are damaged is less than 20%. Hint There is strong evidence against H0 if the p-value is less than 0.05, alternatively there is strong evidence against H0 if the test stat is less than -1.645. Which option is the correct hypothesis test. Select one: a. H0: p= 0.8, H1 p> 0.8, standard error =10, test stat =0.5, p-value = 0.3084, reject H0 because there is strong evidence the proprotion is above 80% b. H0: p= 0.2, H1 p < 0.2, standard error =0.02 test stat =-0.125, p-value = 0.4503, do not reject H0 because there is not strong evidence the proprotion is less than 20% c. H0: p> 0.8 H1 p =0.8, test stat =-20 , p-value = 0.3084, do not reject H0 because there is strong evidence the proprotion is above 80% d. H0: =0.2, H1: < 0.2 , test stat =2.3, p-value = 0.01, do not reject H0 because there is not strong evidence the proprotion is above 80%Assume that a simple random sample has been selected and test the given claim. Use the P-value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. The ages of actresses when they won an acting award is summarized by the statistics n=83, x=35.4 years, and s=11.8 years. Use a 0.05 significance level to test the claim that the mean age of actresses when they win an acting award is 32 years. What are the hypotheses? A. H0: μ = 32 years H1: μ ≠ 32 years B. H0: μ = 32 years H1: μ ≥ 32 years C. H0: μ ≠ 32 years H1: μ = 32 years D. H0: μ = 32 years H1: μ < 32 years (b) Identify the test statistic. t=? (Round to three decimal places as needed.) Identify the P-value. (c) The P-value is?(Round to four decimal places as needed.) (d) State the final conclusion that addresses the original claim. Choose…the u.S. bureau of labor Statistics reports that 11.3% of u.S. workers belong to unions(blS website, January 2014). Suppose a sample of 400 u.S. workers is collected in 2014to determine whether union efforts to organize have increased union membership.a. formulate the hypotheses that can be used to determine whether union membershipincreased in 2014.b. if the sample results show that 52 of the workers belonged to unions, what is thep-value for your hypothesis test?c. at a = .05, what is your conclusion?