In a random sample of 150 adults over the age of 45, 25 say they have plaved in a band at least one time in their lives. a. Construct and interpret a 99% confidence interval for the proportion ec all adults over the age of 45 who have played in a band at least one timei their lives. Include ALL PARTS FOR Credit b. Based on your work in part a, is there convincing evidence that less than 20% of all adults over the age of 45 have played in a band at least one time in their lives? Justify your answer.

The following data represent a random sample of five measurements from a normally distributed population: 7,4,2,5,7 a. Find 90% confidence interval for u. b. Find a 99% confidence interval for u.

4.A prior study(by Pew Research 2021)found that 35 out of 50 randomly selected US adults between the ages of 18 to 29 use (or have used) Instagram. Construct a 99% confidence interval for the population proportion of US adults between the ages of 18 to 29 use (or have used) Instagram. (round to three decimal places)   a.Identify the following: X, N, P   b.Which distribution should you use for this problem?   c.What is the corresponding critical value for a 99% confidence interval?     d.Calculate the margin of error (3 decimal places)   e.Construct a 99% confidence interval f. Interpret the interval.

You were interested to know how long do students of mathematics in the university spend studying their math lessons in a day. You asked 10 random students and obtained the following data (in hours): 2, 1.5, 3, 2, 3.5, 1. 0.5, 3, 2, 4. Construct a 99% confidence interval for the average time that students spend studying math in a day. O 1.46 hours to 3.04 hours O none of the choices. O 1.31 hours to 3.19 hours O 0.95 hours to 3.55 hours

A survey collected data on attitudes toward the quality of customer service in retail stores.  The survey found that 270 of the 750 American adults sampled felt that customer service is better today than it was two years ago. We wish to develop a 94% confidence interval for the proportion of American adults who feel customer service is better today than it was two years ago.   What is the population? A) the 750 American adults sampled B) customer service representatives C) all American adults

Listed below are the amounts of net worth​ (in millions of​ dollars) of the ten wealthiest celebrities in a country. Construct a 95​% confidence interval. What does the result tell us about the population of all​ celebrities? Do the data appear to be from a normally distributed population as​ required?   245 210 186 168 166 163 156 156 156 156

A genetic experiment with peas resulted in one sample of offspring that consisted of 448 green peas and 171 yellow peas.   a. Construct a 95​% 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?   Express the percentages in decimal form.

In a survey of 3279 adults aged 57 through 85​ years, it was found that 81.9​% of them used at least one prescription medication. Complete parts​ (a) through​ (c) below. How many of the 3279 subjects used at least one prescription​ medication? ​(Round to the nearest integer as​ needed.) Construct a​ 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication