An economics professional body estimates that 75% of the students taking undergraduate economics courses are in favour of studying of statistics as part of their studies. If this estimate is correct, what is the probability that more than 20 undergraduate economics students out of a random sample of 25 will be in favour of studying statistics?

An economics professional body estimates that 75% of the students taking undergraduate economics courses are in favour of studying of statistics as part of their studies. If this estimate is correct, what is the probability that more than 20 undergraduate economics students out of a random sample of 25 will be in favour of studying statistics?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

If 25% of boys born weigh over 20 lbs and a sample of 150 was taken what are the odds that 35 or fewer of them weigh over 20 pounds?
Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 2.8%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 414 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 16 report now being married. Does this evidence support Annie’s claim, at the 0.01 level of significance, that the chances of getting married for this group is greater than 2.8%? \Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 3.4%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 457 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 24 report now being married. Does this evidence support Annie’s claim, at the 0.05 level of significance, that the chances of getting married for this group is greater than 3.4%? Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: p=0.034 Ha: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.034
A racing car consumes a mean of 103 gallons of gas per race with a variance of 36. If 38 racing cars are randomly selected, what is the probability that the sample mean would be greater than 101.5 gallons? Round your answer to four decimal places.
Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 3.4%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 438 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 20 report now being married. Does this evidence support Annie’s claim, at the 0.02 level of significance, that the chances of getting married for this group is greater than 3.4%? Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.
A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850 with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 705.6. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 34 high-income individuals and found the sample mean credit score to be 724.4 with a standard deviation of 84.4. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the α=0.05 level of significance. 1) Find: P-value 2) Make a conclusion regarding the hypothesis.
A. If 75% of high school students are able to pass a stats test, find the mean, variance, and standard deviation for the number of students who pass the test in a sample of 150 students. B. What is the probability that just you will not pass this test, if all 22 students take the test?
The 2012 National Survey on Drug Use and Health estimated that 25% of canadians agd 12 or over reported binge drinking in the past month. Find the odds of binge drinking
A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 703.8. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 36 high-income individuals and found the sample mean credit score to be 719.8 with a standard deviation of 81.9. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the α=0.05 level of significance.
Annie is concerned over a report that "a woman over age 40 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 40-year-old university-educated American woman was 3.1 %. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 424 never-previously-wed, university-educated, American women who were single at the beginning of their 40s and who are now 45. Of these women, 19 report now being married. Does this evidence support Annie's claim, at the 0.01 level of significance, that the chances of getting married for this group is greater than 3.1 % ? Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
29 percent of all Samsung cell phones are submitted for service while under warranty. Of these, 66 percent can be repaired, whereas the other 34 percent must be replaced with new units. If a company purchases 12 Samsung cell phones, what is the probability that exactly 2 will end up being replaced under warranty? What would the mean number of cell phones being replaced under warranty be? What would be the variance be for the cell phones being replaced by warranty?.
Suppose that you make a large number of independent observations of a random variable and then construct a table giving the possible values of the random variable and the proportion of times each value occurs. What will this table resemble?