To determine a target audience for a new software package, a computer company surveyed a large random sample of potential customers, asking each whether he/she uses a previous version of the software on a regular basis. (The company considered "a regular basis to be at least three times a week.) The data, as summarized in the contingency table below, were classified according to two variables: the age of the respondent ("under 18", "18-35","36-54", "55+") and software use ("on a regular basis" or "not on a regular basis"). Each cell of the table contains three numbers: the first number is the observed cell frequency (f); the second number is the expected cell frequency f) under the assumption that there is no dependence between age and software use and the third number is the following value. (fo-1) Jz (Observed cell frequency - Expected cell frequency)2 Expected cell frequency The numbers labeled "Total" are totals for observed frequency. Part 1 Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your three or more decimal places. Send data to Excel Software use On a regular basis Not on a regular basis Total Under 18 129 0 0 174 0 303 (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) 18-35 133 126.00 0.389 182 189.00 0.259 315 O No Age (in years) 36-54 31 0 0 65 0 0 96 (b) Find the value of the test statistic. (Round to two or more decimal places.) 0 55+ 107 114.40 0.479 179 171.60 0.319 286 Total 400 600 1000 (c) Find the critical value for a test at the 0.05 level of significance. (Round to two or more decimal places.) 0 X Part 2 Answer the following to summarize the test of the hypothesis that there is no dependence between age and software use. For your test, use the 0.05 level of significance. (d) Can we reject the hypothesis that there is no dependence between age and software use? Use the 0.05 level of significance. O Yes (10-18)² JE 5 values to X 3
To determine a target audience for a new software package, a computer company surveyed a large random sample of potential customers, asking each whether he/she uses a previous version of the software on a regular basis. (The company considered "a regular basis to be at least three times a week.) The data, as summarized in the contingency table below, were classified according to two variables: the age of the respondent ("under 18", "18-35","36-54", "55+") and software use ("on a regular basis" or "not on a regular basis"). Each cell of the table contains three numbers: the first number is the observed cell frequency (f); the second number is the expected cell frequency f) under the assumption that there is no dependence between age and software use and the third number is the following value. (fo-1) Jz (Observed cell frequency - Expected cell frequency)2 Expected cell frequency The numbers labeled "Total" are totals for observed frequency. Part 1 Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your three or more decimal places. Send data to Excel Software use On a regular basis Not on a regular basis Total Under 18 129 0 0 174 0 303 (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) 18-35 133 126.00 0.389 182 189.00 0.259 315 O No Age (in years) 36-54 31 0 0 65 0 0 96 (b) Find the value of the test statistic. (Round to two or more decimal places.) 0 55+ 107 114.40 0.479 179 171.60 0.319 286 Total 400 600 1000 (c) Find the critical value for a test at the 0.05 level of significance. (Round to two or more decimal places.) 0 X Part 2 Answer the following to summarize the test of the hypothesis that there is no dependence between age and software use. For your test, use the 0.05 level of significance. (d) Can we reject the hypothesis that there is no dependence between age and software use? Use the 0.05 level of significance. O Yes (10-18)² JE 5 values to X 3
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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