Only need part e for questions 1 through 3 (all other blue areas are not needed to be shown to answer part e)

Only need part e & f for questions 5 & 6 (all other blue areas are not needed to be shown to answer part e & f)

there is no additional information needed in the blue areas to answer the part e or f

Q1

\fThe man'tal status distribution of the U.S. male population, age 15 and older, is as shown below. Marital Status Percent never married 31.3 married 56.1 widowed 2.5 divorced [separated 10.1 Suppose that a random sample of 400 U.5. young adult males, 18 to 24 years old, yielded the following frequency distribution. We are interested in whether this age group of males ts the distribution of the U.S. adult population at the 5% level. Calculate the frequency one would expect when surveying 400 people. Fill in the table below, rounding to two decimal places. Marital Status Frequency Expected Frequency never married 139 I: married 238 E widowed 3 I: divorced [separated 20 E What is the test statistic? (Round your answer to two decimal places.) E What is the |pvalue') (Round your answer to four decimal places) 0.0002 x - sixisiced die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test at the 5% level to determine if the die is fair. The data below are the result of the 120 rolls. (Enter exact numbers as integers, fractions, or decimals.) Face Value Frequency Ferected Frequency What is the test staiistidl (Round your answer to two deumal places.) 20.10 3' What is the pvalue? (Round your answer to four decimal places.) at The average waiting time in a doctor's ofce varies. The standard deviation of waiting times in a doctor's office is 3.4 minutes. A random sampie of 30 patients in the doctor's ofce has a standard deviation of waiting times of 4.1 minutes. One doctor believes the variance of waiting times is greater than originaliy thought. What is the test statistic? (Round your answer to two decimal piaces.) :I A sample of 218 commercial businesses was surveyed for recycling one commodity; a commodity here means any one type of recyclable material such as plastic or aluminum. The table below shows the business categories in the survey, the sample size of each category, and the number of businesses in each category that recycle one commodity. Based on the study, on average half of the businesses were expected to be recycling one commodity. As a result, the last column shows the expected number of businesses in each category that recycle one commodity. At the 5% significance level, perform a hypothesis test to determine if the observed number of businesses that recycle one commodity follows the uniform distribution of the expected values. Business Number in Observed number that recycle Expected number that recycle Type Class one commodity one commodity Office 37 21 18.5 Retail/Wholesale 48 27 24 Food/Restaurants 55 33 27.5 ngiucfaalcmr'w' 54 1s 27 B Part (a) El Pan (h) Pan (c) Pan (a) B Part (a) What Is the test statistic? (Round your answer to two demmal places) :I UCLA conducted a survey of more than 263,000 college freshmen from 385 colleges in fall 2005. The results of students' expected majors by gender were reported in The Chronicle oer'gner Education (2/2/2006). Suppose a survey of 5,000 graduating females and 5,000 graduating males was done as a followup last year to determine what their actual majors were. The results for males are shown in the table below. The second column in the table does not add to 100% because of rounding. Conduct a goodnessiofifit test to determine if the actual college majors of graduating males fit the distribution of their expected majors. (Use a significance level of 0.05.) Major Men Expected Major Men - Actual Major Art 0. Humanities 11.0% 600 Biological Sciences 6.7% 330 Business 22.7% 1,130 Education 5.8% 305 Engineering 15.6% 800 Physical Sciences 3.6% 175 Professional 9.3% 460 Social Sciences 7.6% 370 Technical 1.8% 90 Other 8.2% 400 Part (a) Pan (h) B Part (E) El Parl(d] B Part (a) What Is the 1951 statistic? (Round your answer to two decu'nal places.) :I