A 95% confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 40 CEOs. The interval was ($99,752, $113,359). To make more useful inferences from the data, it is desired to reduce the width of the confidence interval. Which of the following will result in an increased interval width?

A marketing survey involves product recognition in New York and California. Of 679 New Yorkers surveyed, 256 knew of the product while 208 of 631 Californians knew of the product. Construct a 99% confidence interval for the difference between the two population proportions, P₁-P₂ (where p₁ is the proportion of New Yorkers who knew of the product, and P₂ is the proportion of Californians who knew of the product). Give your answers as decimals, rounded to 3 places after the decimal point (if necessary). 99% confidence interval for P₁ - P2:

A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1227   males​ surveyed, 181   responded that they had at least one tattoo. Of the 1003   females​ surveyed, 137   responded that they had at least one tattoo. Construct a 95 ​% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p 1   represent the proportion of males with tattoos and p 2   represent the proportion of females with tattoos. Find the 95 ​% confidence interval for p 1 minus p 2 .   The lower bound is   . The upper bound is   .

For each scenario, use the drop-down menu to identify if the intended inference is a Confidence Interval or a Hypothesis Test.  Does the number of college students changing their major decrease over time? Analysts took a random sample of 50 students in their freshman and sophomore years and identified how many had changed their majors. The analysts then took a random sample of 80 students in their junior and senior years and identified how many changed their majors. The intended method for inference in this situation is a .     What is the average age people get married? In 1960, people would get married at 22 years of age, on average. Marriage counselors want to determine the average age at marriage for the year 2020. The intended method for inference in this situation is a  .      Is there a difference in the birth weight of a male infant versus a female infant? Obstetricians at a local hospital find the average weight of 120 male infants at birth and 120 female infants at birth.…