The government of a particular country reports its literacy rate as 52%. A nongovernmental organization believes it to be less. The organization takes a random sample of 600 inhabitants and obtains a literacy rate of 42%. Perform the relevant test at the 0.5% (one-half of 1%) level of significance. a) Draw and state the rejection region in interval notation. b) State the test statistic and decsion
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The government of a particular country reports its literacy rate as 52%. A nongovernmental organization believes it to be less. The organization takes a random sample of 600 inhabitants and obtains a literacy rate of 42%. Perform the relevant test at the 0.5% (one-half of 1%) level of significance.
a) Draw and state the rejection region in interval notation.
b) State the test statistic and decsion
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- What is a sample space?The table below summarizes data from a survey of a sample of women. Using a 0.01significance level, and assuming that the sample sizes of 800 men and 300 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? Gender of Interviewer Man Woman Women who agree 498 247 Women who disagree 302 53 Compute the test statistic, rounding to three decimal places. Find the critical value(s). (Round to three decimal places) What is the conclusion based on the hypothesis test?A forester wanted to survey spruce trees on one face of a mountain in order to determine the percentage of spruce trees that were infested or were attacked by a very destructive insect known as the tomentosus. The forester obtained a map of the mountain and then subdivided the area of interest into 400 square grids with each square covering an area of 100 square metres. A simple random sample of 50 squares was selected, and for each selected square, the survey team determined the total number of spruce trees and the number of such trees that were infested or had been attacked by the tomentosus. What sampling design was used for this survey? If the tomentosus is believed to be evenly distributed throughout the face of this mountain, would you recommend this sampling design? Why or why not? If the tomentosus prefers to reside in regions of the mountain face with higher temperatures and hence lower elevations, would you recommend using a different sampling design? Explain your answer…
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- according to the university of nevada center for logistics Management, 6% of all merchandise sold in the united States gets returned. a Houston department store sampled 80items sold in January and found that 12 of the items were returned.a. construct a point estimate of the proportion of items returned for the population ofsales transactions at the Houston storeA survey of 2310 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 401 have donated blood in the past two years. Complete parts (a) through (c) below. (a) Obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years. p=A recent poll found that 664 out of 1026 randomly selected people in a particular country felt that colleges and universities with big sports programs placed too much emphasis on athletics over academics. Assuming the conditions for the CLT are met, use the accompanying Minitab output to complete parts a and b below. N Event Sample p 95% CI for p 1026 664 0.647173 (0.617934, 0.676413) Question content area bottom b. Suppose a sports blogger wrote an article claiming that a majority of adults from this country believe that colleges and universities with big sports programs place too much emphasis on athletics over academics. Does this confidence interval support the blogger's claim? Explain your reasoning. A. No, it is not a plausible claim because the confidence interval contains 50%. B. No, it is not a plausible claim because the confidence interval does not contain only values above 50%. C. Yes, it is a…
- According to the Pew Research Center,on the propotion of the American population who use only a cellular telephone (landline) is 0.37. Jason conducts a survey of one hundred fifty 20 to 24 year olds who live on their own and finds that 73 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20 to 24 year olds who live on their own and don't have a landline is greater than 0.37? Use a=0.10 level of significance. A) Verify that nP0(1-P0)>10 and n< 0.05N (Assume the population sizes is N=40 million) B) State the appropiate null and alternative hypotheses. C) Indicate whether the hypothesis is left, right, or two- tailed.According to the Pew Research Center,on the propotion of the American population who use only a cellular telephone (landline) is 0.37. Jason conducts a survey of one hundred fifty 20 to 24 year olds who live on their own and finds that 73 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20 to 24 year olds who live on their own and don't have a landline is greater than 0.37? Use a=0.10 level of significance. D) Compute the test statistic z0. Round to the nearest hundredth. E) Draw a normal model with the area that represents the P-value shaded. F) Determine and interpret the P-value. What is the conclusion of the hypothesis test?A research team is hired to investigate the prevalence of periodontal disease in a rural countywith a low average socio-economic status. The team is given the task of surveying the area, andproviding a brief examination of participants to correctly identify cases of periodontal diseaseand estimate an overall prevalence. If the team identifies an overall prevalence of above 25%, thesponsoring organization is to initiate an active campaign promoting healthy dental practice. Outof 2,879 participants surveyed, 589 were identified to have periodontal disease. A) Conduct a formal test for detecting if the prevalence of periodontal disease in the sample issignificantly different from the minimum prevalence for intervention. Use an alpha level of 0.01.B) Interpret your conclusions.