Question

A survey found that 24% of consumers from a Country A are more likely to buy stock in a company based in Country A, or shop at its stores if it is making an effort to publicly talk about how it is becoming more sustainable. Suppose you select a sample of 100 respondents from Country A. Complete parts (a) through (d) below. a. What is the probability that in the sample, fewer than 24% are more likely to buy stock in a company based in Country A, or shop at its stores, if it is making an effort to publicly talk about how it is becoming more sustainable? The probability is %. (Round to two decimal places as needed.) b. What is the probability that in the sample, between 18% and 30% are more likely to buy stock in a company based in Country A. or shop at its stores, if it is making an effort to publicly talk about how it is becoming more sustainable? The probability is % (Round to two decimal places as needed.) c. What is the probability that in the sample, more than 18% are more likely to buy stock in a company based in Country A, or shop at its stores, if it is making an effort to publicly talk about how it is becoming more sustainable? The probability is % (Round to two decimal places as needed.) d. If a sample of 400 is taken, how does this change your answers to (a) through (c)? If a sample of 400 is taken, what is the probability that in the sample fewer than 24% are more likely to buy stock in a company based in Country A, or shop at its stores, if it is making an effort to publicly talk about how it is becoming more sustainable? The probability is % (Round to two decimal places as needed.) If a sample of 400 is taken, what is the probability that in the sample between 18% and 30% are more likely to buy stock in a company based in Country A. or shop at its stores, if it is making an effort to publicly talk about how it is becoming more sustainable? The probability is % (Round to two decimal places as needed.) If a sample of 400 is taken, what is the probability that in the sample more than 18% are more likely to buy stock in a company based in Country A, or shop at its stores, if it is making an effort to publicly talk about how it is becoming more sustainable? The probability is %. (Round to two decimal places as needed.) Explain the how the answers to parts (a) through (c) changed when the sample size was increased to 400 The answer to part (a) the answer to part (b) and the answer to part (c) because the probability distribution becomes more when the sample size increases

Answer 1

(a) Probability = 50%

(b) Probability = 83.99%

(c) Probability = 92%

(d) Probability = 50%

Probability = 99.50%

Probability = 99.75%