In a random sample 100 people ages 20 to 24, 25% said they were smokers. In...

In a random sample 100 people ages 20 to 24, 25% said they were smokers. In a random sample of 300 people ages 25 to 29, 51 of them said they were smokers. Test the claim that the proportion of smokers in the two age groups is the same. Use a significance level of 0.05. Provide the following.
a. the null and alternative hypothesis
b. the test statistic
c. the p-value
d. the final conclusion in nontechnical terms
e. construct a confidence interval using the original information
f. does the confidence interval support the decision from part D? explain

Expert Solution

Let denotes the true proportion of smokers of ages 20 to 24 and 25 to 29 respectively.

a) - d)

e)

f) Since the confidence interval includes 0, so at 95% level of confidence, we can conclude that the proportion of smokers in the two age groups is the different.

orchestra answered 2 years ago

in a random sample of 500 people aged 20-24, 110 were smokers. in a random sample...

in a random sample of 500 people aged 20-24, 110 were smokers. in a random sample of 450 people aged 25-29, 65 were smokers. test the claim that the proprtion of smokers age 20-24 is higher than the proportion of smokers age 25-29. use a significance level of 0.01. please show work!

Random samples of people ages 15−24 and of people ages 25−34 were asked about their preferred...

Random samples of people ages 15−24 and of people ages 25−34 were asked about their preferred method of (remote) communication with friends. The respondents were asked to select one of the methods from the following list: cell phone, instant message, e-mail, other. Preferred Communication Method Age Cell Phone Instant Message Email Other Row Total 15-24 47 45 3 5 100 25-34 43 28 16 13 100 Column Total 90 73 19 18 200 (i) Make a cluster bar graph showing...

Random samples of people ages 15-24 and 25-34 were asked about their preferred method of communication...

Random samples of people ages 15-24 and 25-34 were asked about their preferred method of communication with friends. The respondents were asked to select one of the methods from the following list: cell phone, instant message, e-mail, other. Age Cell Phone Instant Message E-Mail Other Obs., Exp Obs., Exp Obs., Exp Obs., Exp 15-24 48 40 5 7 25-34 41 30 15 14 Test whether the two populations share the same proportions of preferences for each type...

In a random sample of 315 people 80 of them were smokers. Based on the above...

In a random sample of 315 people 80 of them were smokers. Based on the above sample test whether the data provides sufficient evidence that the proportion of smokers is different from 20%, using 2% significance level. What type of error could you have made in your decision?

Ages of Gamblers The mean age of a sample of 24 people who were playing the...

Ages of Gamblers The mean age of a sample of 24 people who were playing the slot machines is 49.1 years, and the standard deviation is 6.8 years. The mean age of a sample of 31 people who were playing roulette is 55.2 with a standard deviation of 3.2 years. Can it be concluded at =α0.01 that the mean age of those playing the slot machines is less than those playing roulette? Use μ1 for the mean age of those...

Based on a random sample of 20 people, the mean tip that they said they would...

Based on a random sample of 20 people, the mean tip that they said they would leave after a $30 meal was $5.00 and the standard deviation was $0.25. Assume the tip amounts are normally distributed. Construct a 99% confidence interval for the population mean tip. a) Identify the sample size, sample mean, sample standard deviation, and the appropriate test score (t or z) value for 99% confidence. b) Calculate the standard error of the mean. c) Calculate the maximum...

In a random sample of 800 men aged 25 to 35 years, 24% said they live...

In a random sample of 800 men aged 25 to 35 years, 24% said they live with one or both parents. Construct a 95% confidence interval for the proportion of men aged 25 to 35 that live with their parents. Make sure to include every step and an interpretation.

Exhibit 9-6. a random sample of 100 people were taken. Eighty of the people in the...

Exhibit 9-6. a random sample of 100 people were taken. Eighty of the people in the sample favored candidate A. We are interested in determining whether or not the proportion of the population in favor of candidate A is significantly more than 75%. At a 0.05 level of significance it can be concluded that the proportion of the population in favor of candidate A is ____? Is it significantly greater than 75%, not significantly greater than 75%, significantly greater than...

a random sample of n1= 156 people ages 16 to 19 were taken from the island...

a random sample of n1= 156 people ages 16 to 19 were taken from the island of oahu, hawaii, and 16 were found to be high school dropouts. Another random sample of n2=129 people ages 16 to 19 werr taken from sweetwater county, Wyoming, and 10 were found to be high school dropouts. Do these data indicate that the population proportion of high school dropouts on Oahu is different ( either way) from that of sweetwater county? use a 1%...

Generally speaking, would you say that most people can be trusted? A random sample of n1 = 242 people in Chicago ages 18-25 showed that r1 = 46 said yes.

Generally speaking, would you say that most people can be trusted? A random sample of n1 = 242 people in Chicago ages 18-25 showed that r1 = 46 said yes. Another random sample of n2 = 270 people in Chicago ages 35-45 showed that r2 = 73 said yes. Does this indicate that the population proportion of trusting people in Chicago is higher for the older group? Use α = 0.05. (a) What is the level of significance?State the...

Question