a. Let p be the proportion of households in Abbotsford having an exotic pet. Suppose you want to construct a 90% confidence interval for p with a margin of error of 0.05, how large should the sample size be? (Assume that you do not have any knowledge or prior sample about the population proportion p.) (b) Suppose that in a random sample of 350 households in Abbotsford, it is found that 41 of them have an exotic pet. Construct an adjusted 95% confidence interval for the proportion of households in Abbotsford having an exotic pet. What is the margin of error in this case?

Suppose we know that a confidence interval for a population proportion is (0.105,0.355), with a sample proportion of p̂=0.23. What is the margin of error?

Suppose a test is given to 20 randomly selected college freshmen in Ohio. The sample average score on the test is 12 points and the sample standard deviation is 4 points. Suppose the same test is given to 16 randomly selected college freshmen in Iowa. The sample average score on the test is 8 points and the sample standard deviation is 3 points. We want to test whether there is a significant difference in scores of college freshmen in Ohio versus Iowa. Does the 90% confidence interval indicate that there is evidence of a difference in population means? Group of answer choices Yes Not enough information No

Imagine that you obtain a random sample of 125 M&M candies, and you notice that 28% of these candies are blue. If we convert the sample percentage of 0.28 to a sample proportion (by dividing 28 by 100), we get 0.28.

Suppose a sample of 9 customers spends an average of $200 with a standard deviation $20 what is a 95% confidence interval for the sample mean. Use the fact that 95% of sample means are within 2.306 standard errors of the sample mean.

9.