According to a study conducted by a statistical organization, the proportion of people who are satisfied with the way things are going in their lives is 0.84. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below. (a) Suppose the random sample of 100 people is asked, "Are you satisfied with the way things are going in your life?" Is the response to this question qualitative or quantitative? Explain. O A. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not. O B. The response is quantitative because the number of people satisfied can be counted. OC. The response is qualitative because the number of people satisfied can be counted. OD. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not. (b) Explain why the sample proportion, p, is a random variable. What is the source of the variability? O A. The sample proportion p is a random variable because the value of p represents a random person included in the sample. The variability is due to the fact that people may not be responding to the question truthfully. O B. The sample proportion p is a random variable because the value of p represents a random person included in the sample. The variability is due to the fact that different people feel differently regarding their satisfaction. O C. The sample proportion p is a random variable because the value of p varies from sample to sample. The variability is due to the fact that people may not be responding to the question truthfully. OD. The sample proportion p is a random variable because the value of p varies from sample to sample. The variability is due to the fact that different people feel differently regarding their satisfaction.

Four scenarios of statistical studies are given below. Decide which study uses a population parameter. Answer O Lakeside Family Dentistry reported that 6 of the 15 patients who came in for a regular cleaning one day had at least one cavity. O As part of her senior project, Kaisa asked 84 of her classmates if they voted in the last presidential election. 39 said yes. O of 351 dog owners who were surveyed, 70 reported owning two dogs. The average finish time for the Ironman, Kona was 11:32 for the 1883 finishers, with an average swim time of 1:14, an average bike time time of 4:14.

Does money buy happiness? This is an age-old question. A random sample of 1993 subjects were asked to rate their happiness (Not too happy, Pretty happy, or Very happy) and also report their level of income (Above average, average, below average). The table of the observations is presented below. Income Not too happy Pretty happy Very happy Total Above Average 26 233 164 423 Average 117 473 293 883 Below Average 172 383 132 687 Total 315 1089 589 1993

In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles?  Crash Damage ($) Goliath Varmint Weasel 1,660 1,290 1,000 770 1,440 2,120 880 1,320 1,850 1,960 1,820 1,210 1,240 960 1,960     Crash Damage in Dollars             Goliath Varmint Weasel     1660 1290 1000     770 1440 2120     880 1320 1850     1960 1820 1210     1240 960 1960

ath ess Most Watched Ani... A pharmaceutical company claims their new diabetes medication results in less variance in a patient's glucose level than if the patient were on no medication at all. An endocrinologist wishes to test this claim. She divides participants randomly into two groups. Group A consists of 20 diabetics who received the medication; group B consists of 26 diabetics who received a placebo. After two weeks, the blood sugar level of each patient in each group was measured with the following results (in mg/dL): Group A: 77.8, 229.4, 199.9, 110.1, 180.2, 116.1, 139.7, 171.1, 37.4, 158.1, 88.4, 195.5, 246.1, 142.4, 178.1, 105.5, 179.6, 146.1, 78.8, 123.7 Group B: 124.5, 130.1, 136, 162.8, 113.4, 72.8, 142.6, 50.3, 179.8, 197, 230, 194.3, 171, 109.3, 114.4, 107.5, 114.7, 195.3, 127.7, 126.4, 85.6, 166.7, 182.3, 113.5, 216.7, 162.8 Ho: Perform a hypothesis test using a 6% level of significance to test the pharmaceutical company's claim. Step 1: State the null and alternative…

You want to examine the relationship between dropping out of high school and delinquency. You have a random sample of 11 students. You have the number of delinquent offenses that each student reported committing in the year before and after dropping out of school. The following table shows the data. Student Before dropping out After dropping out 1 5 7 2 9 5 3 2 3 4 7 7 5 8 11 6 11 13 7 8 4 8 8 10 9 5 7 10 2 1 11 9 3 From performing a hypothesis test to determine if the mean number of delinquent differs after dropping out, what is the obtained t?

. Myers-Briggs: Actors Isabel Briggs Myers was a pioneer in the study of personality types. The following information is taken from MBTI Manual: A Guide to the Development and Use of the Myers-Briggs Type Indicator by Myers and McCaulley (Consulting Psychologists Press). In a random sample of 62 professional actors, it was found that 39 were extroverts. Let p represent the proportion of all actors who are extroverts. Find a point estimate for p. Find a 95% confidence interval for p. Give a brief interpretation of the meaning of the confidence interval you have found. Check Requirements Do you think the conditions np > 5 and nq > 5 are satisfied in this problem? Explain why this would be an important consideration.

The dataset below is based on a survey of 100 randomly selected travelers who were asked, “How many trips per year do you typically take?”   2 or Fewer 3 to 5 Trips 6 to 8 Trips 9 or More Trips Male 17 10 20 3 Female 19 21 8 2 What is the probability that a randomly selected survey participant is male or takes two or fewer trips per year? Group of answer choices 0.36 0.69 0.86 0.17 0.18

Data were gathered on how high dolphins jump from the surface of the water based on body length. The following data was obtained from 10 randomly selected dolphins in Miami, Florida. Body Length (in feet) Height of Jump (in feet) 5.5 15 6 15 6.7 17.5 7.2 17 7.5 18.1 8.2 18.7 8.2 17.6 8.5 19.2 9 22.3 9.5 19.3 What is the value of r and its interpretation?

An article about the California lottery gave the following information on the age distribution of adults in California: 35% are between 18 and 34 years old, 51% are between 35 and 64 years old, and 14% are 65 years old or older. The article also gave information on the age distribution of those who purchase lottery tickets. The following table is consistent with the values given in the article. Suppose that the data resulted from a random sample of 200 lottery ticket purchasers. Based on these sample data, is it reasonable to conclude that one or more of these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with ? = 0.05. Age of Purchaser Frequency 18–34 36 35–64 130 65 and over 34 Calculate the test statistic. (Round your answer to two decimal places.) ?2 =  Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value =  What can you conclude? The data     strong evidence to conclude…