MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:p=0.54Ho:p=0.54 Ha:p<0.54Ha:p<0.54You obtain a sample of size n=589n=589 in which there are 299 successful observations.Determine the test statistic formula for this test.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = How do I get this on my calculator?arrow_forwardIn order to monitor safety levels, scientists take samples of 7 randomly selected batches to test the null hypothesis H0: u=.8 vs Ha: u does not equal .8. On this particular day, measurements were: .87, .75, .84, .83, .90, .68, .87. Using this data, what is the p-value of this test?arrow_forwardThe Batteries sheet of the Data Excel file shows the results of two random samples that measured the average number of minutes per charge for AA Lithium-ion (Li-ion) rechargeable batteries versus Nickel-Metal Hydride (NiMH) rechargeable batteries. Perform a hypothesis test using significance level (α) = 0.05 to determine if the true average number of minutes per charge for NiMH batteries is smaller than that for Li-ion batteries. Let:µLi-ion be the true average number of minutes per charge for Li-ion batteries µNiMH be the true average number of minutes per charge for NiMH batteries. t-Test: Two-Sample Assuming Unequal Variances NiMH Li-ion Mean 89.35714 95 Variance 3.93956 59.75 Observations 14 17 Hypothesized Mean Difference 0 df 19 t Stat -2.89621 P(T<=t) one-tail 0.004628 t Critical one-tail 1.729133 P(T<=t) two-tail 0.009255 t Critical two-tail 2.093024 Based on the…arrow_forward
- JMP Pro 15 preferred but Excel is okay.arrow_forwardConsider the following hypothesis test. Ho: µ1 – µ2 = 0 Ha: µ1 – µ2 0 The following results are for two independent samples taken from two populations. Excel File: data10-03.xlsx Sample 1 Sample 2 n1 = 80 n2 = 70 = 104 T2 = 106 %3D 01 = = 8.4 02 = 7.6 Enter negative values as negative numbers. a. What is the value of the test statistic? (to 2 decimals) b. What is the p-value? (to 4 decimals) c. With a = 0.05, what is your hypothesis testing conclusion? - Select your answer -arrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:p1=p2 Ha:p1≠p2The 1st population's sample has 150 successes and a sample size = 751. The 2nd population's sample has 114 successes and a sample size = 500. What is the test statistic (z-score) for this sample? (Round to 3 decimal places.) test statistic = What is the p-value for this sample? (Round to 3 decimal places.) p-value = The p-value is... greater than αα less than (or equal to) αα This test statistic leads to a decision to... reject the null fail to reject the null accept the null Correct As such, the final conclusion is that... There is not sufficient sample evidence to support the alternate hypothesis claim that p1 is not equal to p2. The sample data support the alternate hypothesis claim that p1 is not equal to p2.arrow_forward
- Select the appropriate null and alternative hypothesis for the following research question: Does a different proportion of people enjoy playing video games compared to those who enjoy playing sports? phat1 = proportion of people who enjoy playing video games more than sports phat2 = proportion of people who enjoy playing sports more than video games A. Null Hypothesis: People enjoy playing video games less than or equal to playing sports i.e. phat1 <= phat2 Alternative Hypothesis: People enjoy playing video games more than playing sports i.e. phat1 > phat2 B. Null Hypothesis: People enjoy playing video games a different amount than playing sports i.e. phat1 =/= phat2 Alternative Hypothesis: People enjoy playing video games the same as playing sports i.e. phat1 = phat2 C. Null Hypothesis: People enjoy playing video games the same as playing sports i.e. phat1 = phat2 Alternative Hypothesis: People enjoy playing video games a different amount than playing sports…arrow_forwardThis chart shows the results of two random samples that measured the average number of minutes per charge for AA Lithium-ion (Li-ion) rechargeable batteries versus Nickel-Metal Hydride (NiMH) rechargeable batteries. Down below shows the hypothesis test using significance level (α) = 0.05 to determine if the true average number of minutes per charge for NiMH batteries is smaller than that for Li-ion batteries. 1. From the data given from the first graph below, what would be the correct p value? (the one tail or the two tail?) t-Test: Two-Sample Assuming Unequal Variances NiMH Li-ion Mean 89.35714 95 Variance 3.93956 59.75 Observations 14 17 Hypothesized Mean Difference 0 df 19 t Stat -2.89621 P(T<=t) one-tail 0.004628 t Critical one-tail 1.729133 P(T<=t) two-tail 0.009255 t Critical two-tail 2.093024 For the bottom graph: 1.. Find the point estimate (you can do this by subtracting Group 2…arrow_forwardQ4) Suppose that when data from an experiment was analyzed, the P-value for testing Ho: u = 100 versus Ha: µ < 100 was calculated as 0.047. At the 0.01 significance level, Họ wouldarrow_forward
- You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:p=0.72Ho:p=0.72 Ha:p>0.72Ha:p>0.72You obtain a sample of size n=403n=403 in which there are 316 successful observations.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα Correct This test statistic leads to a decision to... reject the null accept the null fail to reject the null Correct As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.72. There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.72. The sample data support the claim that the population proportion is greater than 0.72. There is not…arrow_forwardshixarrow_forward12,13,14 need helparrow_forward
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