Investigate using the Chi square test of independence whether the positive and the negative attitudes toward mathematics of 450 fourth year high school students are independent of the course they wou ld like to pursue in college. Use the following data collected by a researcher. For the level of significance, use 0.05 Courses Attitudes Positive Negatives BSE 32 34 BS Accountancy BS Psychology BS Civil Engineering 45 24 15 26 34 4 BSHRM 44 BS in International 17 26 Relation BSCS 15 24 BS Math 32 BSIT 13 12 BS in Biology 31 27
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- A research center claims that that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% say that would travel into space on a commercial flight if they could afford it. At alpa= 0.05, isthere enough evidence to reject the research centers claim complete parts a through d belowThe accompanying data came from a study of collusion inbidding within the construction industry (“Detection ofCollusive Behavior,” J. of Construction Engr. andMgmnt, 2012: 1251–1258).No. Bidders No. Contracts2 73 204 265 166 117 98 69 810 311 2a. What proportion of the contracts involved at mostfive bidders? At least five bidders?b. What proportion of the contracts involved betweenfive and 10 bidders, inclusive? Strictly between fiveand 10 bidders?c. Construct a histogram and comment on interestingfeatures.A chi-square test for homogeneity was conducted to investigate whether the four high schools in a school district have different absentee rates for each of four grade levels. The chi-square test statistic and p-value of the test were 19.02 and 0.025, respectively. Which of the following is the correct interpretation of the p-value in the context of the test? a Assuming that each high school has a different absentee rate for each grade level, there is a 2.5 percent chance of finding a test statistic 19.02 or larger. b Assuming that each high school has the same absentee rate for each grade level, there is a 2.5 percent chance of finding a test statistic 19.02 or smaller. c Assuming that each high school has the same absentee rate for each grade level, there is a 2.5 percent chance of finding a test statistic 19.02 or larger. d There is a 2.5 percent chance that the absentee rate for each grade level at the four schools is the same. e There is a 2.5…
- In a recent survey, it was stated that Americans watch television on average four hours per day. Assume that σ = 2. Using 40 students as the sample, conduct a hypothesis test to determine if the average for students at your school is lower:1. Ho: _______________2. Ha: _______________ 3. level of significance = 0.05 4. Test Statistic: ( Use this statistic for the computation of z).5. Computation: 6. Decision: _________________________________________________________________ 7. Conclusion: ______________________________________________________________Suppose a research study uses two independent groups with 31 participants in each group. If a t-test analysis produces a calculated value of t of 2.22, which of the following is the correct decision? A. At the .05 level of significance, reject the null hypothesisB. At the .05 level of significance, fail to reject the null hypothesisC. At the .01 level of significance, reject the null hypothesisD. Impossible to answer without additional informationSuppose a research study uses two independent groups with 21 individuals in each group. If a t-test analysis produces a calculated value of t of 1.68, which of the following is the correct decision?A. At the .05 level of significance, reject the null hypothesisB. At the .01 level of significance, reject the null hypothesisC. At the .05 level of significance, fail to reject the null hypothesisD. Impossible to answer without additional information
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- A store manager hypothesizes that the average number of pages a person copies on the store's copy machine is less than 40. A sample of 31 customers' orders is selected. At α=0.05, is there enough evidence to support the claim using the P-value method? Assume a=30.9 2 2 5 32 5 29 8 2 49 21 1 24 72 70 21 85 61 8 42 3 15 27 113 36 37 5 3 58 82 9 2 State the hypotheses and identify the claim. :H0: claim or not claim ▼(Choose one) :H1: claim or not claim ▼(Choose one) The hypothesis test is a ▼(Choose one) one tailed or two tailed test.A machine is set to fill the small-size packages of M&M candies with 56 candies per bag. A sample revealed four bags of 56 candies, two bags of 57 candies, two bags of 55 candies, and three bags of 58 candies. To test the hypothesis that the mean candies per bag is 56, how many degrees of freedom are there?Nine laboratory equipment dealers were asked for price quotes on two similar air quality samplers. The results of the survey are given below. At α = 0.05, is it reasonable to assert that on an average, sampler manufactured by company A is less expensive than sampler manufactured by company B?Dealer 1 2 3 4 5 6 7 8 9Company A price (in $) 250 319 285 260 305 295 289 309 275Company B price (in $) 270 325 269 275 289 285 295 325 300