Ms. Fernandez believes that the mean income of teachers is now more than Php 45,000 per month. Which is the correct set of hypotheses to test this belief? (A HO:u 2 45 000; H1: µ < 45 000 Β) H0:μs 45 000; H1: μ > 45 000 HO:µ < 45 000; H1: µ2 45 000 D) H0:μ= 45 000; H : μ # 45 000
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- Ms. Fernandez believes that the mean income of teachers is now more than Php 45,000 per month. Which is the correct set of hypotheses to test this belief? H0:µ = 45 000; H1: µ ≠ 45 000 H0:µ ≥ 45 000; H1: µ < 45 000 H0:µ < 45 000; H1: µ ≥ 45 000 H0:µ ≤ 45 000; H1: µ > 45 000An article describes a survey of 2,096 adult Americans. Survey participants were asked if they were football fans and also if they agreed or disagreed that the rules that the National Football League adopted in 2010 designed to limit head injuries have been effective. Data from the survey are summarized in the table below. Agree Disagree Total Football Fan 673, 543, 1,216. Not a Football Fan 199, 681, 880. Total 872, 1,224, 2,096. Suppose that a survey participant is to be selected at random. Consider the following events. A = event selected participant agreed that the rules have been effective D = event selected participant disagreed that the rules have been effective F = event selected participant was a football fan (a) Calculate the following probabilities. (Round your answers to four decimal places.) (i) P(A) = (ii) P(D) = (iii) P(A|F) = (iv) P(A|FC) = (b) Are the events F and A independent events? Justify your answer using relevant probabilities. Yes, the events F and A are…The dean of a major university claims that the mean number of hours students study at her university (per day) is at most 5.6 hours. If a hypothesis test is performed, how should a decision that fails to reject the null hypothesis be interpreted?
- The mean weight of male aerobics instructors in a certain city is less than 185 lbs. Express the null and alternative hypotheses in symbolic form for this claim.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?
