A researcher is interested in the proportion of all Jacksonville homeowners who are considering solar energy for their homes. The researcher claims the proportion is less than 45%. Suppose a random sample of 100 homeowners yielded 43 who were considering switching to solar energy. Use a 5% level of significance to test the researcher’s claim.   The p-value is [a]

A researcher is interested in the proportion of American families that eat dinner together as a family. It was found that 32 out of 100 randomly sampled American families ate dinner together. (Give your answers as decimals and round to 3 decimal places when necessary)   a. What is the point estimate for the proportion of ALL American families that eat dinner together as a family? [a] b. Construct a 90% confidence interval for the proportion of ALL American families that eat dinner together as a family: ([b], [c])

Assume the starting salaries at a tech company are normally distributed. A sample of 27 employees at this tech company yielded an average starting salary of $87,025 with a standard deviation of $9,500.   a. What is the point estimate for the average starting salary of ALL employees at this company? [f] b. Find a 99% confidence interval for the population mean starting salary: ([a], [b]) c. Interpret the interval: We are [c]% confident that the average starting salary of ALL employees at this company is between [d] and [e].

The length of a MLB game in 2019 was normally distributed with a mean of 185 minutes and a standard deviation of 17 minutes. (Round to 3 decimal places).   a. What is the probability that a randomly selected baseball game lasts more than 166 minutes? [a] b. What is the probability that a randomly selected baseball game lasts less than 200 minutes? [b] c. What length represents the 47th percentile? [c] d. What are the two lengths that represent the middle 42%? (Separate your numbers with a comma, put the smaller number first) [d]

Audrey is ordering at Taco Bell. There is a 18% chance she will order a Quesadilla, a 87% chance she will order a Soft Taco, and a 7% chance she will order both a Quesadilla and a Soft Taco. (Give your answers in decimal form to represent probabilities. Round to 3 decimal places as needed.)   a. What is the probability that Audrey orders a Quesadilla or a Soft Taco? [a] b. What is the probability that Audrey orders a Soft Taco but does not order a Quesadilla ? [b]

Suppose a malfunction occurred at a factory, so 83% of items produced by this specific factory are defective. A random sample of 15 items was taken. (Round to 3 decimal places when necessary).   a. What is the probability that exactly 10 of the sampled items are defective? [a] b. What is the probability that more than 13 of the sampled items are defective? [b] c. What is the probability that between 9 and 12, inclusive, of the sampled items are defective? [c] d. Find the expected number of items to be defective. [d] e. Find the standard deviation of items to be defective. [e]

A chef is in search of an elusive ingredient he needs for a recipe. He is going to check 2 stores for the ingredient, regardless if he finds the ingredient at the first store. The probability that he will find the ingredient at the first store is 0.21, the probability that he finds it at the second store is 0.15, and the probability that he finds it at both stores is 0.08.    Given the chef finds the ingredient in the second store, what is the probability that he finds it in the first store? [c] (Round to 3 decimals)

When building a confidence interval for a population mean, we use the Z-interval when:

A study on some high school students was conducted, and the student’s study habits and their GPA were recorded in the following table. GPA 

A histogram of a set of data indicates that the distribution of the data is left skewed. Which measure of central tendency will be larger, the mean or the ​median?