Wife Alternating Husband Jointly Laundry 156 14 2 4 Main meal 124 20 4 Dinner 77 11 7 13 Breakfeast 82 36 15 7 Tidying 53 11 1 57 Dishes 32 24 4 53 Shopping 33 23 55 Official 12 46 23 15 Driving 10 51 75 3 Finances 13 13 21 66 Insurance 8 1 53 77 Repairs Holidays 3 160 2 1 153 Table 1: house-tasks dataset The data is a contingency table containing 13 house-tasks and their distribution. The rows are the different tasks and values are the frequencies of the tasks done as follows: • by the wife only • alternatively • by the husband only • or jointly Q1. Compute chi-square test in R and discuss the tasks distribution Q2. Extract the observed and the expected counts from the result of the test Q3. Visualise the results with the suitable plot/s.
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- What is a sample space?The human papillomavirus associated with the development of cervical cancer, genital warts, and some less common cancers. John Hopkins conducted a study to investigate the characteristics of female patients who came to their clinics between 2006 and 2008 to begin the three-shot regimen of vaccinations with the anti-human papillomavirus (HPV) medication Gardasil. A contingency table summarizing the vaccine completions by race for 1222 patients is provided below. 1.State the null and alternative hypotheses. 2.Compute the test statistic. Compute the test statistic. Document how the expected counts and the value of the test statistic are computed and enter them into the table and input box provided. Round the expected counts to 3 decimal places and the test statistic to 2 decimal places. 3.Compute the p-value. Provide the name of the distribution and the parameters used to compute the p-value. Then enter your anwer rounded to 4 decimal places. 4.Interpret the results of the significance…According to the document Consumer Expenditures, a publication of the Bureau of Labor Statistics, the average consumer spent $1736 on apparel and services in the last year. A researcher believes that consumers in the Northeast spent more on average. The researcher sampled 25 consumers in the Northeast and recorded the amount they spent on apparel and services in the last year. The data is listed below: 1279 1457 2020 1682 1273 2223 2233 2192 1611 1734 2688 2029 2166 1860 2444 1844 1765 2267 1522 2012 1990 1751 2113 2202 1712 At the 0.05 level of significance, does the data provide evidence to suggest that consumers in the Northeast spend more on average than the national average reported in the Bureau of Labor Statistics? What is the p-value for this hypothesis test? Round to three decimal places.
- According to the document Consumer Expenditures, a publication of the Bureau of Labor Statistics, the average consumer spent $1736 on apparel and services in the last year. A researcher believes that consumers in the Northeast spent more on average. The researcher sampled 25 consumers in the Northeast and recorded the amount they spent on apparel and services in the last year. The data is listed below: 1279 1457 2020 1682 1273 2223 2233 2192 1611 1734 2688 2029 2166 1860 2444 1844 1765 2267 1522 2012 1990 1751 2113 2202 1712 At the 0.05 level of significance, does the data provide evidence to suggest that consumers in the Northeast spend more on average than the national average reported in the Bureau of Labor Statistics?According to the document Consumer Expenditures, a publication of the Bureau of Labor Statistics, the average consumer spent $1736 on apparel and services in the last year. A researcher believes that consumers in the Northeast spent more on average. The researcher sampled 25 consumers in the Northeast and recorded the amount they spent on apparel and services in the last year. The data is listed below: 1279 1457 2020 1682 1273 2223 2233 2192 1611 1734 2688 2029 2166 1860 2444 1844 1765 2267 1522 2012 1990 1751 2113 2202 1712 At the 0.05 level of significance, does the data provide evidence to suggest that consumers in the Northeast spend more on average than the national average reported in the Bureau of Labor Statistics? What is the correct conclusion for this test? Question 9 options: Fail to reject the null hypothesis because the p-value is less than the level of significance. Fail to reject the null hypothesis because the…According to the document Consumer Expenditures, a publication of the Bureau of Labor Statistics, the average consumer spent $1736 on apparel and services in the last year. A researcher believes that consumers in the Northeast spent more on average. The researcher sampled 25 consumers in the Northeast and recorded the amount they spent on apparel and services in the last year. The data is listed below: 1279 1457 2020 1682 1273 2223 2233 2192 1611 1734 2688 2029 2166 1860 2444 1844 1765 2267 1522 2012 1990 1751 2113 2202 1712 At the 0.05 level of significance, does the data provide evidence to suggest that consumers in the Northeast spend more on average than the national average reported in the Bureau of Labor Statistics? What is the p-value for this hypothesis test? Question 8 options: 0.001 0.004 0.007 0.2223
- According to the document Consumer Expenditures, a publication of the Bureau of Labor Statistics, the average consumer spent $1736 on apparel and services in the last year. A researcher believes that consumers in the Northeast spent more on average. The researcher sampled 25 consumers in the Northeast and recorded the amount they spent on apparel and services in the last year. The data is listed below: 1279 1457 2020 1682 1273 2223 2233 2192 1611 1734 2688 2029 2166 1860 2444 1844 1765 2267 1522 2012 1990 1751 2113 2202 1712 At the 0.05 level of significance, does the data provide evidence to suggest that consumers in the Northeast spend more on average than the national average reported in the Bureau of Labor Statistics? What is the correct conclusion for this test?The human resource manager at a car dealership wants to know if the ages of its employees are related to the department that they work in. Data was compiled and tabulated in a 2-way contingency table. The employees were classified according to their age and department.Expected counts are printed below observed counts Sales Accounts Marketing Repairs Total 20-29 8 10 27 43 88 17.74 *** 26.20 23.62 30-39 29 26 38 22 * 23.18 26.72 34.24 30.86 40-49 33 32 72 82 219 44.15 50.88 65.20 58.77 50-59…The human resource manager at a car dealership wants to know if the ages of its employees are related to the department that they work in. Data was compiled and tabulated in a 2-way contingency table. The employees were classified according to their age and department. Expected counts are printed below observed counts SALES ACCOUNTS MARKETING REPAIRS TOTAL 20-29 8 17.74 10 *** 27 26.20 43 23.62 88 30-39 29 23.18 26 26.72 38 34.24 22 30.86 * 40-49 33 44.15 32 50.88 72 65.20 82 58.77 219 50-59 81 65.92 106 75.97 86 97.36 54 87.75 327 TOTAL 151 ** 223 201 749 Chi – Sq = 5.348 + **** + 0.024 + 15.912 + 1.459 + 0.019 + 0.413 + 2.544 + 2.816 + 7.003 + 0.709 + 9.182 + 3.448 + 11.875 + 1.325 + 12.983 = 80.395 DF = *****, P – Value = ****** No cells with expected counts less than 5 c) Fill in the gaps marked by ‘*’, ‘**’, ‘***’, ‘****’ ,…
- The human resource manager at a car dealership wants to know if the ages of its employees are related to the department that they work in. Data was compiled and tabulated in a 2-way contingency table. The employees were classified according to their age and department. Expected counts are printed below observed counts SALES ACCOUNTS MARKETING REPAIRS TOTAL 20-29 8 17.74 10 *** 27 26.20 43 23.62 88 30-39 29 23.18 26 26.72 38 34.24 22 30.86 * 40-49 33 44.15 32 50.88 72 65.20 82 58.77 219 50-59 81 65.92 106 75.97 86 97.36 54 87.75 327 TOTAL 151 ** 223 201 749 Chi – Sq = 5.348 + **** + 0.024 + 15.912 + 1.459 + 0.019 + 0.413 + 2.544 + 2.816 + 7.003 + 0.709 + 9.182 + 3.448 + 11.875 + 1.325 + 12.983 = 80.395 DF = *****, P – Value = ****** No cells with expected counts less than 5 c) Fill in the gaps marked by ‘*’, ‘**’, ‘***’, ‘****’ ,…A researcher wants to understand how an annual mortgage payment (in Ringgit) depends on income level and zonal location allowing for interaction. The data are shown below: SUMMARY LOW MEDIUM HIGH Total KOTA KINABALU Count 5 5 5 15 Sum 799 959 1020 2778 Average 159.8 191.8 204 185.2 Variance 1151.2 40.7 607.5 886.314286 SANDAKAN Count 5 5 5 15 Sum 1197 1333 1971 4501 Average 239.4 266.6 394.2 300.066667 Variance 5108.8 1918.8 8242.2 9241.92381 TAWAU Count 5 5 5 15 Sum 742 915 1068 2725 Average 148.4 183 213.6 181.666667 Variance 3394.8 10957.5 532.8 5012.95238 LAHAD DATU Count 5 5 5 15 Sum 670 651 806 2127 Average 134 130.2 161.2 141.8 Variance 1480 1181.7 1993.7 1534.31429 KENINGAU Count 5 5 5 15 Sum 98 205 237 540…The Bureau of Transportation reports on-time performance for airlines at major airports. JetBlue, United, and US Airways share Terminal C and Boston's Logan Airport. The percentage of on-time flights reported for a sample month were 76.8% for JetBlue, 71.5% for United, and 82.2% for US Airways. Assume that 30% of the arriving flights at this terminal are JetBlue flights, 32% are United flights, and 38% are US Airways flights. a. Develop a contingency table (table of joint probabilities and marginal probabilities). b. An announcement is made that Flight 1382 will arrive at Terminal C. What is the probability that the flight will arrive on time? c. Flight 1382 arrives on time. What is the probability that Flight 1382 is operated by US Airways? d. Flight 1382 will not arrive on time. What is the probability that Flight 1382 is operated by United?