Question

In a random sample of 60 students in adult education classes on a large college campus,...

In a random sample of 60 students in adult education classes on a large college campus, it was found that 75% of the sample members were not in the market for cigarettes. what would be the probability of observing a sample proportion that is less than this if in fact 70% of all adult education students on campus are not in the market for cigarettes?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Solution

=  [p ( 1 - p ) / n] =   [(0.75 * 0.25) / 60 ] = 0.05590

P( < 0.70) =

= P[( - ) / < (0.70 - 0.75) / 0.0559]

= P(z < 0.89)

= 0.8133

Add a comment
Know the answer?
Add Answer to:
In a random sample of 60 students in adult education classes on a large college campus,...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • At a certain college a random sample of 90 college students were surveyed and 75 students...

    At a certain college a random sample of 90 college students were surveyed and 75 students were found to have cars on campus. It had long been believed that 80% of students kept their cars on campus. Is there evidence, using alpha = 0.05, to say the proportion has increased? State the type of test you are performing (multiple choice) State the null and alternative hypotheses Using Minitab results, state the test statistic Using Minitab results, state the p-value Decision...

  • 80% of students at a College live on campus. 120 randomly selected students at the college...

    80% of students at a College live on campus. 120 randomly selected students at the college are surveyed and asked their living situation. Let p̂ be the proportion of students in the sample survey who report they live on campus. a) Find the mean and standard deviation of the sampling distribution of p̂. b) Use normalcdf with the sample proportion p̂ to determine the probability that at least 75% of the students in the survey live on campus.

  • Large Data Set 1 records the GPAs of 1,000 college students. Regarding it as a random sample of a...

    Large Data Set 1 records the GPAs of 1,000 college students. Regarding it as a random sample of all college students, use it to test the hypothesis that the population mean is less than 2.50, at the 10% level of significance. (The null hypothesis is that μ = 2.50.) Note: All of the data sets associated with these questions are missing, but the questions themselves are included here for reference 22. Large Data Set 1 records the GPAs of 1,000...

  • 80% of students at Merrimack College live on campus (normally— not during a pandemic). 120 randomly...

    80% of students at Merrimack College live on campus (normally— not during a pandemic). 120 randomly selected students at Merrimack are surveyed and asked their living situation. Let p̂ be the proportion of students in the sample survey who report they live on campus. a. Find the mean and standard deviation of the sampling distribution of p̂. b. Use normalcdf with the sample proportion p̂ to determine the probability that at least 75% of the students in the survey live...

  • Smoking habits: A group of statistics students conducted a survey about smoking habits on campus to...

    Smoking habits: A group of statistics students conducted a survey about smoking habits on campus to determine the proportion of students who believe that smoking hookah (a water pipe) is less harmful than smoking cigarettes. Of the 50 students surveyed, 45 think that smoking hookah is less harmful than smoking cigarettes. Which of the following is a reason that this group of students should not calculate a confidence interval for the proportion of all students who believe that smoking hookah...

  • A researcher is interested in determining whether there is a difference in male college students and...

    A researcher is interested in determining whether there is a difference in male college students and female college students' preference for taking online classes over on-campus classes. The researcher surveys 82 female students, and found that 15 preferred online classes. The researcher surveys 70 male students, and found that 10 preferred online classes. Let's perform a hypothesis test at the 5% significance level. Test whether the proportion of females who prefer online classes is greater than the proportion of males...

  • A random sample of 225 full time students at a large two-year college is taken to...

    A random sample of 225 full time students at a large two-year college is taken to estimate the amount they spent on text books this semester. The sampled students spent an average of $200 with a standard deviation of $75. Thus, a 95% confidence interval for the average amount spent by all full time students at that school would be: Group of answer choices $200 ± $0.33 $200 ± $5 $200 ± $10 $200 ± $75

  • A researcher is interested in determining whether there is a difference in male college students and...

    A researcher is interested in determining whether there is a difference in male college students and female college students' preference for taking online classes over on-campus classes. The researcher surveys 82 female students, and found that 15 preferred online classes. The researcher surveys 70 male students, and found that 10 preferred online classes. Let's perform a hypothesis test at the 5% significance level. Test whether the proportion of females who prefer online classes is greater than the proportion of males...

  • A​ country's education department reported that in2015,66.8% of students enrolled in college or a trade school...

    A​ country's education department reported that in2015,66.8% of students enrolled in college or a trade school within 12months of graduating high school. In 2017, a random sample of171individuals who graduated from high school12months prior was selected. From this​ sample,108 students were found to be enrolled in college or a trade school. a. Construct a90%confidence interval to estimate the actual proportion of students enrolled in college or a trade school within 12months of graduating from high school in 2017.

  • Let's say you want to poll a random sample of 150 students on campus to see...

    Let's say you want to poll a random sample of 150 students on campus to see if they prefer to take online classes. Of course, if you took an actual poll you would only get one number (your sample proportion, p-hat). Imagine all the possible samples of 150 students that you could draw and the distribution of all the possible sample proportions you would get from them. If I told you that we know that 35% of all students actually...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT