According to a study conducted by a statistical​ organization,the proportion of people who are satisfied with the way things aregoing in their lives is 0.76 . Suppose that a random sample of 100people is obtained. Complete parts​ (a) through​ (e) below.
​(a) Suppose the random sample of 100 people is​ asked, \"Are yousatisfied with the way things are going in your​ life?\" Is theresponse to this question qualitative or​ quantitative?Explain.
A. The response is qualitative because the responses can beclassified based on the characteristic of being satisfied ornot.
B. The response is quantitative because the responses can bemeasured numerically and the values added or​ subtracted, providingmeaningful results.
C. The response is quantitative because the responses can beclassified based on the characteristic of being satisfied ornot.
D. The response is qualitative because the responses can bemeasured numerically and the values added or​ subtracted, providingmeaningful results.
​(b) Explain why the sample​ proportion, ModifyingAbove p withcaret ​, is a random variable. What is the source of the​variability?
A. The sample proportion ModifyingAbove p with caret is a randomvariable because the value of ModifyingAbove p with caretrepresents a random person included in the sample. The variabilityis due to the fact that people may not be responding to thequestion truthfully.
B. The sample proportion ModifyingAbove p with caret is a randomvariable because the value of ModifyingAbove p with caret variesfrom sample to sample. The variability is due to the fact thatpeople may not be responding to the question truthfully.
C. The sample proportion ModifyingAbove p with caret is a randomvariable because the value of ModifyingAbove p with caret variesfrom sample to sample. The variability is due to the fact thatdifferent people feel differently regarding their satisfaction.
D. The sample proportion ModifyingAbove p with caret is a randomvariable because the value of ModifyingAbove p with caretrepresents a random person included in the sample. The variabilityis due to the fact that different people feel differently regardingtheir satisfaction. ​
(c) Describe the sampling distribution of ModifyingAbove p withcaret ​, the proportion of people who are satisfied with the waythings are going in their life. Be sure to verify the modelrequirements. Since the sample size is no ▼ more less than​ 5% ofthe population size and ​np(1minus ​p)equalsnothinggreater than orequals​10, the distribution of ModifyingAbove p with caret is ▼skewed right uniform skewed left approximately normal with muSubscript ModifyingAbove p with caret Baseline equals nothing andsigma Subscript ModifyingAbove p with caret Baseline equals nothing. ​(Round to three decimal places as​ needed.) ​
(d) In the sample obtained in part​ (a), what is the probabilitythat the proportion who are satisfied with the way things are goingin their life exceeds 0.80 ​? The probability that the proportionwho are satisfied with the way things are going in their lifeexceeds 0.80 is nothing . ​(Round to four decimal places as​needed.)
​(e) Using the distribution from part​ (c), would it be unusualfor a survey of 100 people to reveal that 70 or fewer people in thesample are satisfied with their​ lives? The probability that 70 orfewer people in the sample are satisfied is nothing ​, which ▼ (is)or (is not) unusual because this probability ▼ (is not) or (is)less than ▼ (0.05) or (0.5) or (50) or (5) ​%. ​(Round to fourdecimal places as​ needed.) Click to select your answer(s).
