Question

a. Out of 100 people sampled, 24 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids.

Give your answers as decimals, to three places
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b. Based on historical data, your manager believes that 28% of the company's orders come from first-time customers. A random sample of 167 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.24 and 0.37?

c. A Food Marketing Institute found that 33% of households spend more than $125 a week on groceries. Assume the population proportion is 0.33 and a simple random sample of 69 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is between 0.2 and 0.48?

Answer 1