In a survey of 3000 Americans aged 12 through 74 years, the following makeup of the moviegoer audience was obtained.
Age | 12–24 | 25–44 | 45–64 | 65–74 |
---|---|---|---|---|
Audience (%) | 30 | 32 | 24 | 14 |
A moviegoer is selected at random from the respondents of the survey.
(a) What is the probability he or she is between 12 and 24 years
of age?
(b) What is the probability he or she is between 25 and 64 years of
age?
(c) What is the probability he or she is between 12 and 24 years of
age or between 65 and 74 years of age?
Total number of audience = 30 +32 +24 + 14 = 100
a) Probability that he or she is between 12 and 24 years of age
= 30 / 100
= 0.3
Probability that he or she is between 12 and 24 years of age is 0.
b)
probability he or she is between 25 and 64 years of age
= probability he or she is between 25 to 44 years of age * probability he or she is between 45 to 64 years of age
= (32/100) * (24 /100)
= 0.32 * 0.24
= 0.0768
Probability he or she is between 25 and 64 years of age is 0.0768
c)
probability he or she is between 12 and 24 years of age or between 65 and 74 years of age
= probability he or she is between 12 to 24 years of age + probability he or she is between 65 to 74 years of age
= (30/100)++ (14/100)
= 0.30 + 0.14
= 0.44
Probability he or she is between 12 and 24 years of age or between 65 and 74 years of age is 0.44
In a survey of 3000 Americans aged 12 through 74 years, the following makeup of the...
Citizen registration and voting varies by age and gender. The following data is based on registration and voting results from the Current Population Survey following the 2012 election. A survey was conducted of adults eligible to vote. The respondents were asked in they registered to vote. The data below are based on a total sample of 760. We will focus on the proportion registered to vote for ages 18 to 24 compared with those 25 to 34. The expectation is...
Suppose there is a 15.4% probability that a randomly selected person aged 25 years or older is a jogoer. In addition, there is a 28.9% probability that a randomly selected person aged 25 years or older is female, given that he or she jogs. What is the probability that a randomly selected person aged 25 years or older is female and jogu? Would it be unusual to randomly select a person aged 25 years or older who is female and...
Problem 5. The U.S. Bureau of Labor Statistics reported that, as of 1981, approximately 21% of the adult population under age 65 was between 18 and 24 years of age, 28% was between 25 and 34, 19% was betwe enn 35 and 44, and 32% was between 45 and 64. In 1982, an automobile manufacturer wanted to obtain opinions on a new design from five randomly chosen adults from the under-65 group of adults. Of the five people selected, find...
According to the American Time Use Survey, the mean number of hours each day Americans age 15 and older spend eating and drinking is 1.22. A researcher wanted to know if Americans age 15 to 19 spent less time eating and drinking After surveying 50 Americans age 15 to 19 and running the appropriate hypothesis test, she obtained a P-value of 0.0329. 1. State the null and alternative hypothesis this researcher used. 2. Interpret the P-value. 3. Determine and explain...
Citizen registration and voting varies by age and gender. The following data is based on registration and voting results from the Current Population Survey following the 2012 election. A survey was conducte of adults eligible to vote. The respondents were asked in they registere to vote. The data below are based on a total sample of 760. We will focus on the proportion registered to vote for ages 18 to 24 compared with those 25 to 34. The expectation is...
Suppose there is a 19.5% probability that a randomly selected person aged 25 years or older is a smoker. In addition, there is a 27.4% probability that a randomly selected person aged 25 years or older is female, given that he or she smokes. What is the probability that a randomly selected person aged 25 years or older is female and smokes? Would it be unusual to randomly select a person aged 25 years or older who is female and...
The National Center for Health Statistics reports that 25% of all Americans between the ages of 65 and 74 have a chronic heart condition. Suppose you live in a state where the environment is conducive to good health and low stress and you believe the conditions in your state promote healthy hearts. To investigate this theory, you conduct a random telephone survey of 18 persons 65 to 74 years of age in your state. "(Round your answer to 2 decimal...
In a survey 1000 adults were asked whether they used a smartphone, a mobile phone (but not a smartphone) or did not use a mobile phone. The results were as follows: Mobile phone use Age of respondentSmartphone Mobile phone but not smartphone No use Total 16 to 24 133 51 7 191 25 to 34 116 82 201 35 to 54 85 97 188 20 206 55 to 64 39 147 65 or older 10 127 77 214 Total 383...
esale Bottom > Wholesale Fragra... Man Q1. A survey of 500 adults aged 18-29 years of age revealed that 285 chose to eat fast food for dinner at least once in the past week. Find the sample proportion of individuals surveyed who ate fast food for dinner at least once in the past week. (Hint: p = where x = # of people who have given characteristic (eat fast food) and nis sample size) Q2. Verify two conditions (a) n...
upposethere is a 10.1% prtablity thatara domiy selected persen aged 20 years or oi erisappge Inaddton toe sa 24 2% pebabity t at a and my selected person 20years or olderste naleg he probably eut a เพ dernly selected person aged 20 years or olderis ale and㎍s? Would Ζ be unusual to randomly mei a person aged 20 years or older who is female andjogs? enthat he or she ppi what i The probability that a randomly selected person aged...