An e-commerce research company claims that at least 55% of graduate students have bought merchandise on-line. A consumer group is suspicious of the claim and thinks that the proportion is lower than 55%. A random sample of 160 graduate students show that only 85 students have ever done so. Is there enough evidence to show that the true proportion is lower than 55%? Conduct the test at 0.1 level of si

An e-commerce research company claims that at least 55% of graduate students have bought merchandise on-line. A consumer group is suspicious of the claim and thinks that the proportion is lower than 55%. A random sample of 160 graduate students show that only 85 students have ever done so. Is there enough evidence to show that the true proportion is lower than 55%? Conduct the test at 0.1 level of si

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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...

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5. 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 702.9. 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 32 high-income individuals and found the sample mean credit score to be 719.1 with a standard deviation of 80.6. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a = 0.05 level of significance. State the null and alternative hypotheses. Ho: H (1) H: μ (2) (Type integers or decimals. Do not round.) Identify the t-statistic. to = (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) Make a conclusion regarding the hypothesis. (3) the null…
A researcher assures that in his country, on average, the salary of workers is less than $5000.00. He takes a sample of 7 workers and finds that their salary is: $3900.00, $5100.00, $3100.00, $5500.00, $2700.00, $4500.00, $4100.00 Can you be sure at the 0.02 level of significance that the researcher is correct? Choose 1. The correct conclusion2. The correct interpretation Select one:to)1. H0 is rejected2. With a confidence of 98% it can be ensured that the average wage of the workers is not less than $5000.00b)1. H0 is not rejected2. With a confidence of 98% it can be ensured that the average wage of the workers is not less than $5000.00c)1. H0 is not rejected2. It can be ensured, with 98% confidence, that the average wage of the workers is less than $5,000.00d)1. H0 is rejected2. It can be ensured, with 98% confidence, that the average wage of the workers is less than $5,000.00
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In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights. suppose that, in a more recent poll, 399 of 1099 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. is there sufficient evidence that the proportion of families with children under the age of 18 who eat diner together seven nights a week has decreased? use the a=0.05 significance level
5. It is claimed that the proportion of high school athletes who go on to play sports in college is 0.08. Believing this claimed value is incorrect, a researcher surveys a random sample of former high school athletes and finds that the proportion who went on to play sports in college is 0.07. When a hypothesis test is conducted at a significance (or alpha) level of 0.10, the P-value is found to be 0.06. What decision should the researcher make based on the results of the hypothesis test? 1. The null hypothesis should be rejected because 0.06 is less than 0.10. 2. The null hypothesis should be rejected because 0.06 is less than 0.07. 3. The null hypothesis should be rejected because 0.06 is less than 0.08. 4. The null hypothesis should be rejected because 0.07 is less than 0.08. 5. The null hypothesis should not be rejected.
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A health insurance company wants to determine if more than 25% of US residents have been to a hospital emergency room within the past year. It was found that in a sample of 1000 people, 28% indicated that they had been to an emergency room within the past year. With a significance level of 0.01, is there evidence to suggest that the proportion of US residents that have been to the emergency room in the past year is actually higher than 25%?
Five years ago 39% of children in a certain region lived with someone other than a parent. A sociologist wishes to test whether the current proportion is different perform the relevent test at 5% level of significance using the following data: in a random sample of 2,750 children, 119 lived with someone other than parent
Primary seat belt laws allow police to stop a motorist for not wearing a seat belt. According to the National Highway Traffic Safety Administration, the percentage of drivers wearing seat belts in the Limpopo province was 68.5% in 2017 and 72% in 2018. Assume that these percentages are based on random samples of 1000 drivers in 2017 and 1050 in 2018. Suppose you must test at 5% level of significance whether the proportion of all drivers in Limpopo province who used seat belts in 2017 is lower than that for 2018. 1 Questions I) Determine the alternative hypothesis to be tested: II) Determine the value of test statistic: III) Determine the p-value for this problem: IV) the conclusion Since Z=-1.734 is greater than Z subscript 0.05 end subscript equals negative 1.645, we then reject the null hypothesis at 5% level of significance and conclude that the proportion of all drivers in Limpopo province who used seat belts in 2017 is lower than that for 2018. b) Since Z=-1.734 is less…
4. In a poll of 1018 adults, it was found that 22% smoked cigarettes in the past week. Use a 0.05 significance level to test the claim that less than 25% of all adults smoked within the past week.
In a previous poll, 37% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 396 of 1132 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the a= 0.05 significance level. Because npo (1-pPo) = 10 and the sample size is (Round to one decimal place as needed.) 5% of the population size, and the sample V the requirements for testing the hypothesis V satisfied What are the null and alternative hypotheses? V versus H, O Ho (Type integers or decimals. Do not round.) Find the test statistic, Zo Z0= (Round to two decimal places as needed.) Find the P-value P-value = (Round to three decimal places as needed.) Is there sufficient evidence that the proportion of families with children…