3. Alpha Airlines claims that only 15% of its flights arrive more than 10 minutes late. Let p be the proportion of all of Alpha’s flights that arrive more than 10 minutes late. Suppose we take a random sample of 50 flights by Alpha Airlines.and we found that there are 5 flights  which arrived more than 10 minutes late. a. construct a 90% confidence interval for the proportion of all of Alpha’s flights that arrive more than 10 minutes late. b. Test at the 2% significance level whether the Alpha Airlines’s claim is true

The Salesforce company of a unicorn has various clients associated .The company wants to estimate the proportion of its clients who are associated with more than one company. A random sample of 600 clients is selected without replacement and 125 say that they are associated with more than one company .a. Construct a 99% confidence interval estimate of the population proportion of the clients who have been associated with more than one company

5.A random sample of 362 married couples found that 286 had two or more personality preferences in common. In another random sample of 550 married couples, it was found that only 30 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common. Find a 90% confidence interval for p1 – p2. (Use 3 decimal places.) lower limit       upper limit

7. A company that has many department stores in the southern states wanted to find at two such stores the percentage of sales for which at least one of the items was returned. A sample of 800 sales randomly selected from Store A showed that for 280 of them at least one item was returned. Another sample of 900 sales randomly selected from Store B showed that for 279 of them at least one item was returned. a. Construct a 98% confidence interval for the difference between the proportions of all sales at the two stores for which at least one item is returned. b. Using the 10% significance level, can you conclude that the proportions of all sales for which at least one item is returned is higher for Store A than for Store B?

Suppose Devonna owns a national chain of day care centers. She believes that 62% of her students have been to the beach in the last year. She samples 152 children who are enrolled in her 15 day care centers in the state of Florida and finds out that 48 have been to the beach in the last year. From this data, she calculates the z-statistic. Next, she wants to calculate the z-confidence interval for the proportion. Indicate whether or not the requirements for the z-confidence interval for a proportion have been met, and select the reason or reasons why the requirements have or have not been met. The requirements have not have been met because the sample is not random. the sample is random. the setting is not binomial. there are not at least 10 successes and 10 failures. there are at least 10 successes and 10 failures. the setting is binomial.

8.2  Question 3).  According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, Arkansas had 1,601 complaints of identity theft out of 3,482 consumer complaints ("Consumer fraud and," 2008). Calculate a 90% confidence interval for the proportion of identity theft in Arkansas.

5.) A genetic experiment with peas resulted in one sample of offspring that consisted of 410 green peas and 151 yellow peas. a. Construct a 90​% confidence interval to estimate of the percentage of yellow peas. b. It was expected that​ 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not​ 25%, do the results contradict​ expectations?