**Hypothesis Testing: Example Problem**In a random selection of 100 colored candies, it was found that 23% of them are blue. A candy company claims that the percentage of blue candies is equal to 21%. Using a significance level of 0.05, we will test this claim.**Question: Identify the null and alternative hypotheses for this test. Choose the correct answer below.**- **A.** \( H_0: p = 0.21 \) \( H_1: p \neq 0.21 \) *(Correct Answer)*- **B.** \( H_0: p = 0.21 \) \( H_1: p > 0.21 \)- **C.** \( H_0: p \neq 0.21 \) \( H_1: p = 0.21 \)- **D.** \( H_0: p = 0.21 \) \( H_1: p < 0.21 \)**Next Step: Identify the test statistic for this hypothesis test.**The test statistic for this hypothesis test is [ ]. (Round to two decimal places as needed.)**Explanation:**This exercise involves hypothesis testing to verify a claim about the population proportion. The null hypothesis (\(H_0\)) assumes that the percentage of blue candies is 21% while the alternative hypothesis (\(H_1\)) tests whether this percentage is different from 21%. In this case, we choose option A, indicating a two-tailed test.

given data, n=100blue candies of blue candies =p claim:p=0.21p^=0.23 α=0.05

Answered: Suppose that in a random selection of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Test the claim about the population mean, p, at the given level of significance using the given sample statistics. Claim: u = 30; a = 0.09; o = 3.16. Sample statistics: x = 29.5, n = 66 Identify the null and alternative hypotheses. Choose the correct answer below. O B. H,: H= 30 Ha:u> 30 O A. Ho: H 30 Ha: u= 30 O E. Ho: H= 30 O F. Ho:H=30 Ha: H<30 Hi µ#30 Calculate the standardized test statistic. The standardized test statistic is. (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical value is. O B. The critical values are t Determine the outcome and conclusion of the test. Choose the correct answer below.
All Test the claim about the population mean, p, at the given level of significance using the given sample statistics. age Claim: u = 50; a=0.02; o= 3.06. Sample statistics: x= 49.8, n 75 Identify the null and alternative hypotheses. Choose the correct answer below. gat O A. H, p 50 O C. H,: H> 50 Ha: u= 50 O D. Ho: H#50 Ha p= 50 OF Ho H=50 Ha:p< 50 E. H, H= 50 H3 u#50 Calculate the standardized test statistic. The standardized test statistic is -0.57. (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical value is. O B. The critical values are +
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The data in the accompanying table give the weights (in g) of randomly selected quarters that were minted after 1964. The quarters are supposed to have a median weight of 5.670 g. Use the sign test and a 0.01 significance level to test the claim that the median is equal to 5.670 g. Do quarters appear to be minted according to specifications? Click the icon to view the data. What are the null and alternative hypotheses? O A. Ho: Median weight = 5.670 g H₁: Median weight 5.670 g More Info OB. Ho: Median weight ≤ 5.670 g H₁: Median weight = 5.670 g O D. Ho: Median weight = 5.670 g H₁: Median weight # 5.670 g 0 Post-1964 Quarters 5.5863 5.5764 5.6582 5.5649 5.5844 5.7402 5.7367 5.6057 5.5995 5.6165 5.6448 5.5974 5.6609 5.6363 5.6352 5.5986 5.5797 5.5501 5.6238 5.6462 5.6423 5.7021 5.5481 5.7078 5.6055 5.5324 5.7417 5.6776 5.5924 5.5691 5.5666 5.7287 5.6312 5.6017 5.6626 5.6436 5.6634 5.6132 5.5441 5.6363 -
Twenty students were randomly asked about their grades in English and Social Studies. (check attached photo) 1. What is the response variable in the study? A. grade in English B. grade in Social Studies C. either A or B D. neither A or B 2. What is the explanatory variable in the study? A. grade in English B. grade in Social Studies C. either A or B D. neither A or B 3. If the predictor variable is the grade in English, what is the value of the slope estimate? (Write in the nearest hundredths) 4. Interpret the value of the slope if the predictor variable is the grade in English. 5. If the predictor variable is the grade in English, what is the value of the y-intercept? 6. Interpret the value of the y-intercept if the predictor variable is the grade in English. 7. Write the regression line equation that predicts a student's grade in English?
Test the claim about the population mean, u, at the given level of significance using the given sample statistics. Claim: u= 40; a = 0.06; o = 3.41. Sample statistics: x = 39.9, n = 71 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H>40 О В. Но: н- 40 Hai H= 40 Ha: H 40 Ο F. Ho: μ# 40 Ha:H= 40
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Q13. The null Hypothesis is rejected, if the P-value is larger than significance level.a. Trueb. False
2. The steps of hypothesis testing You intend to draw a random sample in order to test a hypothesis about an unknown population mean. You will use a hypothesis test. A description of each of the steps of a hypothesis test follows, but they may be specified in the incorrect order. Specify the correct order of the steps. Determine the null and alternative hypotheses. Select a level of significance. Make a decision about the unknown population. Select a sample and compute the z-score for the sample mean.
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.2.3 Assigned Media The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a = 0.01, (b) a = 0.05, and (c) a= 0.10. P=0.0618 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? A. Reject Ho because the P-value, 0.0618, is greater than a= 0.01. B. Reject Ho because the P-value, 0.0618, is less than a =0.01. C. Fail to reject Ho because the P-value, 0.0618, is less than oa= 0.01. O D. Fail to reject Ho because the P-value, 0.0618, is greater than a= 0.01. Click to select your answer and then click Check Answer. parts Type here to search 0 耳 PrtScn Home End F1 F2 F3 F4 F5 F6 F7 F8 F9 %23

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