Show: Step 1: State the hypothesis Step 2: The level of significance, degree of freedom and critical region Step 3: Compute for the value Step 4: Decision rule Step 5: Conclusion 1. A survey of the National Capital Region finds the average commute time of employees on one way is 45 minutes. The Makati Chamber of Commerce feels that in their city it is greater and want to publicize this. They randomly selected 28
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- Use the method of hypothesis testing to determine if Ryan should conclude his saplings are growing. Take a 5% significance level.Given the situation below, create a problem and determine (a) the null and alternative hypotheses, (b) test statistic, (c) rejection region, and (d) applicability of the CLT.A student decides to spin a dime and determine the proportion of times it lands on heads. The student spins the dime 25 times and records that it lands on heads 17 times. Let p = the true proportion of times the dime would land on heads when spun. Under the assumption that the true proportion is 0.5, 100 simulated proportions for samples of size 25 is shown in the dotplot. Using the dotplot, is there evidence that the proportion of times a spun dime lands on heads is greater than 0.5? A) Yes, a proportion of 0.68 proves that the true proportion of heads is greater than 0.5. B) Yes, a proportion of 0.68 only occurred once out of 100 simulated proportions; therefore, there is sufficient evidence that the true proportion of heads is greater than 0.5. C) No, a proportion of 0.68 is only 0.18 more than 0.5; therefore, there is insufficient evidence that the true proportion of heads is greater than 0.5. D) No, a proportion of 0.68 or more occurred 7 times out of 100 simulated…
- A researcher plans to conduct a research study comparing two treatment conditions with a total of 20 scores in each treatment. Which of the following designs would require only 20 participants? a. independent-samples design b. matched-subjects design c. between-subjects design d. within-subjects designDean for student affairs of a small university is worried about students’ expenditure on internet expense during the period study from home since this Covid-19 outbreak. Especially she wants to know whether students of social sciences spend more compared to students from science and technology. As a quick and preliminary study, she collected a sample of 9 students from science and technology and 11 students from social sciences. Total spending for internet is in Rp0000 during the month of April 2029. The results are presented in the following table. Questions: 1. Explain whether you can or cannot use normal approach to the case. 2. Conduct the test by showing formal steps in hypothesis test (design, decision rule, statistical test, and conclusion) at α = 0.05If you use a 0.10 level of significance in a (two-tail) hypothesis test, the decision rule for rejecting H0: μ=14.9, if you use the Z test, is shown below. Reject H0 if ZSTAT<−1.645 or ZSTAT>+1.645. What is your decision if ZSTAT=−1.44? Question content area bottom Part 1 Choose the correct answer below. A. Since ZSTAT falls into the nonrejection region, reject H0. B. Since ZSTAT falls into the rejection region, reject H0. C. Since ZSTAT falls into the rejection region, do not reject H0. D. Since ZSTAT falls into the nonrejection region, do not reject
- If the proportion of the population in City A that is over 65 years old is p1 and the proportion of the population in City B that is over 65 years old is p2, what is the null hypothesis for a test to determine if the proportion of the population that is over 65 years old is greater in City A? Select the correct answer below: H0: p1−p2=0 H0: p1−p2>0 H0: p1−p2<0 H0: p1−p2≠0Consider the following hypothesis test: Claim: σ < 9Sample Size: n = 30 Significance Level: α = 0.10 Enter the smallest critical value. (Round your answer to nearest thousandth.)When companies are designing a new product, one of the steps typically taken is to see how potential buyers react to a picture or prototype of the proposed product. The product-development team for a notebook computer company has shown picture A to a large sample of potential buyers and picture B to another, asking each person to indicate what they "would expect to pay" for such a product. The data resulting from the two pictures are provided in file (sheet 6). Using the 0.05 level of significance, determine whether the prototypes might not really differ in terms of the price that potential buyers would expect to pay. Sheet 6 ComputerA ComputerB 3 317 2 965 2 680 3 083 3 286 3 137 2 859 2 950 2 693 3 161 2 945 2 918 2 908 3 158 3 193 3 082 3 240 2 903 3 040 3 103…
- A researcher plans to conduct a study comparing two treatment conditions with a total of 15 scoresin each treatment. Which of the following designs would require the largest number of participants?A. an independent-measures designB. a repeated-measures designC. a matched-subjects designD. repeated measures and matched-subjects (both require the same number of participants)E. independent-measures and matched-subjects (both require the same number of participants)A recent poll found that 664 out of 1026 randomly selected people in a particular country felt that colleges and universities with big sports programs placed too much emphasis on athletics over academics. Assuming the conditions for the CLT are met, use the accompanying Minitab output to complete parts a and b below. N Event Sample p 95% CI for p 1026 664 0.647173 (0.617934, 0.676413) Question content area bottom b. Suppose a sports blogger wrote an article claiming that a majority of adults from this country believe that colleges and universities with big sports programs place too much emphasis on athletics over academics. Does this confidence interval support the blogger's claim? Explain your reasoning. A. No, it is not a plausible claim because the confidence interval contains 50%. B. No, it is not a plausible claim because the confidence interval does not contain only values above 50%. C. Yes, it is a…With the information shown, Please do step 3 & 4 of the hypothesis testing 1.The number of people who survived the Titanic based on class and sex is collected is collected in the table. Is there enough evidence to show that the class and the sex of a person who survived the Titanic are independent? 0.05 significance level. Null Hypothesis: class and sex of a person who survived the titanic are independent. Alternative Hypothesis: class and sex of a person who survived the titanic are dependent. The contingency table is: Class Male Female Total 1st 134 59 193 2nd 94 25 119 3rd 80 58 138 Total 308 142 450 Expected frequencies table is: Class Male Female Total 1st 193×308450=132.09 193×142450=60.90 193 2nd 119×308450=81.45…