Question

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 0.80. 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 qualitative because the responses can be classified based on the characteristic of being fed or not OB The response is because the responses can be classified based on the characteristic of being fed or not OC. The response in qualitative because the responses can be measured numerical and the values added or subtracted, providing meaningful results OD. The response is quantitative because the responses can be measured numerically and the value added or subtracted, providing meaningful results. (b) Explain why the sample proportion is a random variable. What is the source of the variably O A The sample proportion is a random variable because the value of represents a random person included in the sample. The variability is due to the fact that people may not be responding to the question O . The sample proportion pha rudon variable because the value of varies from ample to sample. The variability due to the fact that different people fool different regarding their satisfaction OC. The sample proportion is a random variable because the value of ovaries from some to sample. The variability due to the fact that people may not be responding to the question truly OD. The sample proportion is a random variable because the value of represents a random person included in the sample. The variability is due to the fact that different people for differently regarding their (c) Describe the sampling d Since the sample sizes ution of the proportion of people who are safed with the way things are going in there. De sure to verify the model requirements than 5% of the population size and p-p- 210, the distribution of the h a nd o Click to select your answers

Answer 1

a)Option a is correct

This is because the responses will be Yes or No and nl numerical operation can be done on the responses. Their satisfaction or dissatisfaction is reflected in the answers.

b) B is correct option.

The value of sample proportion varies from sample to sample as in one sample there may be lots of dissatisfied people whether in another one there may be lots of satisfied people.

Hence the variability.

size is alatian > Since the sample ? less than 5% of the popul size and no cirp) o = 100 x0.80 X (1-0.80) = 16 > 10 the distribution of p in approximately normal with

Mp = 10.800 and Sp= 0.80X140.30) = 10.040

d) P(Å 70.82) - 1-P ( Å 5 0.82) 8-0-800 < 0.820 0.0800 o 40 0.040 N 10.82-0, 80 N(0,1) 2 1-2 0.040 ) = 1-5 (0.5) - 1 - 016915 = 0.3085 dy The probability that the profortion who are satisfied with the way things are going in their life exceeds 0.82 is (0.3085). le to find P (p = 0.72); as given x=72; =P( -0.80 L 0,72-0.80 i sa 14.00 To.040 0.040 = $ 0.72-0.80) 0.04 0 2D (-2)=1-8(2) = 1-0.9772

= 0.0228 ey the poobability that 72 or feveer people in the sample are satisfied in 0.0228) which is unusual because this probability is less than 13% T0.0228 means 2.28% <3%7

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