f your claim is in the null hypothesis and you reject the null hypothesis, then your conclusion would be: There is not sufficient evidence to warrant rejection of the original claim The sample data support the original claim There is sufficient evidence to warrant rejection of the original claim There is not sufficient sample evidence to support the original claim

f your claim is in the null hypothesis and you reject the null hypothesis, then your conclusion would be: There is not sufficient evidence to warrant rejection of the original claim The sample data support the original claim There is sufficient evidence to warrant rejection of the original claim There is not sufficient sample evidence to support the original claim

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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Cereal for Breakfast. A cereal company claims 55% of Americans start the day with cereal for breakfast. You want to test this claim so you randomly sample 100 Americans and ask them what they eat for breakfast. 45 of them say cereal. Test the cereal company's claim at a 5% level of significance.(a) Select the correct null and alternative hypotheses. Ho: p = 0.45Ha: p ≠ 0.45 Ho: p = 0.55Ha: p ≠ 0.55 Ho: p = 0.55Ha: p < 0.55 Ho: p = 0.45Ha: p > 0.45 Ho: p = 0.55Ha: p > 0.55 Ho: p = 0.45Ha: p < 0.45 (b) Find the p-value (round to three significant figures). (c) Write the final conclusion using everyday language. There is not sufficient evidence to support the company's claim. There is sufficient evidence to support the company's claim. There is sufficient evidence to reject the company's claim. There is not sufficient evidence to reject the company's claim.
ANSWER A B C (b)Based on the answer to part (a), choose the correct statement. ___ The value of the test statistic is in the rejection region. ___ The value of the test statistic is not in the rejection region. (c)Based on your answer to part (b), which of the following statements is true at the significance level of 0.10 ? ___The null hypothesis must be rejected. ___The null hypothesis should not be rejected.
It is commonly held that around 15.7% of American college students regularly use marijuana. A certain school wants to determine if its percentage is higher than the national average. They take a random sample of 100 students and want to use those data to test a hypothesis. What conditions, if any, are not met to be able to run a hypothesis test? O Sample Size Condition O 10% Condition O Randomization Condition O None of these; all conditions for a hypothesis test are met
3. A claim is made that the proportion of college students who have Netflix accounts is 0.85. Noah believes this claimed value is too high. He is able to survey a random sample of 240 college students, and he finds that the sample proportion who have Netflix accounts is 0.82. Noah proceeds to use this data to conduct a hypothesis test. Based on this information, which one of the following statements is correct? A. The p-value will be smaller than 0.01 but larger than 0. B. The p-value will be between 0.01 and 0.05. C. The p-value will be between 0.05 and 0.10. D. The p-value will be larger than 0.10.
21 The test statistic for the hypothesis test is, a 1.401 b 1.505 c 1.617 d 1.736
Passed Failed O White 15 17 Results from a civil servant exam are shown in the table to the right. Is there sufficient evidence to support the claim that the results from the test are discriminatory? Use a 0.05 significance level. candidates Minority candidates 10 25 Determine the null and alternative hypotheses. O A. Ho: A white candidate is more likely to pass the test than a minority candidate. H,: A white candidate is not more likely to pass the test than a minority candidate. O B. Ho: White and minority candidates do not have the same chance of passing the test. H1: White and minority candidates have the same chance of passing the test. OC. Ho: White and minority candidates have the same chance of passing the test. H,: White and minority candidates do not have the same chance of passing the test. O D. Ho: A white candidate is not more likely to pass the test than a minority candidate. H1: A white candidate is more likely to pass the test than a minority candidate. Determine the…
Treatment Placebo H2 A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. 32 39 X 2.31 2.65 Is 0.83 0.52 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O A. Ho: H1 = H2 H1: H1 # H2 O B. Ho: H1 H2 The test statistic, t, is| (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.)
Rejecting the null hypothesis when it is true is called a _____ error
A researchers claims 45% of couples have children. They conduct a hypothesis test and reject the null hypothesis. What type of error could have been committed here? Type 1, type 2, or power if the test?
A radio station states that 30% of the songs they play each week are from Canadian artists. A DJ working at the station claims that the actual percentage differs from what the station states. The DJ takes a random sample of 87 songs played during a given week and finds that 28 of them are from Canadian artists. Use this information to answer the questions below. a. Suppose the DJ wishes to perform a hypothesis test of his claim. Select the most appropriate null and alternative hypotheses for this hypothesis test. H0:p^≠0.3Ha:p^=0.3 H0:x―=0.3Ha:x―≠0.3 H0:μ≠0.3Ha:μ=0.3 H0:p=0.3Ha:p≠0.3 H0:μ=0.3Ha:μ≠0.3 H0:p≠0.3Ha:p=0.3 H0:p^=0.3Ha:p^≠0.3 H0:x―≠0.3Ha:x―=0.3 b. To assess his hypothesis, the DJ wants to compute a bootstrap-based confidence interval from his sample. Which of the following uses of the quantile() function would produce the correct interval bounds for a 96% bootstrap-based confidence interval? c(quantile(B$mean, 0.04), quantile(B$mean, 0.96)) c(quantile(B$mean, 0.02),…
5. Conclusions True or false: In hypothesis testing, it is never valid to form a conclusion of supporting the null hypothesis.
Rejection of the null hypothesis in the two-sample case imp;ies thatr the a. samples are different on the trait of interest b. populations from which the samples are drawn are different on the trait of interest c. samples are not different on the trait of interest d. populations from which the samples are drawn are not different on the trait of interest