Late payment of medical claims can add to the cost of health care. Suppose 71.7% of the claims were paid in fullwhen first submitted for one insurance company. The insurance company developed a new payment system in aneffort to increase this percentage. A sample of 280 claims processed under this system revealed that 223 of the claimswere paid in full when first submitted. Complete parts a and b below.a State the appropriate null and alternative hypotheses. Choose the correct answer below.OA. Ho p≤0.717HA P>0.717***OC. Ho p=0.717HA P#0717OB. Ho: z≤0.717HA: Z>0.717O D. Ho: p20.717HA: P<0.717

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An instructor at a major research university occasionally teaches summer session and notices that there are often students repeating the class. Out of curiosity, she designs a random sample of students enrolled in summer sessions and counts the number repeating a class. She counts 105 students in the sample, of which 19 are repeating a class. She hypothesizes that, in general, more than10% of students repeat a course. The hypotheses to be tested are: Select one: H0:p=0.1 vs. Ha:p=0.18 H0:p=0.1 vs. Ha:p≠0.1 H0:p=0.1 vs. Ha:p>0.1 H0:p=0.1 vs. Ha:p>0.18
R1
Which of the following do you think could possibly be true statistically? A) A teacher brought 40 calculators to class, and 20% of them had dead batteries B) None of the other statements could be true C)The number of violent crimes in the city decreased by 112.46% last year D)Last year, 60 of the 80 residents in a neighborhood subscribed to the local newspaper, and this year, it is 40 residents who subscribe. This is a 50% decrease E) A company's annual profits increased by 110% over the last decade
You may need to use the appropriate appendix table or technology to answer this question. Carl Allen and Norm Nixon are two loan officers at a certain bank. The bank manager is interested in comparing the default rate on the loans approved by Carl to the default rate on the loans approved by Norm. In the sample of loans collected, there are 70 loans approved by Carl (14 of which defaulted) and 80 loans approved by Norm (9 of which defaulted). (a) State the hypothesis test that the default rates are the same for the two loan officers. (Let p1 = the population proportion of Carl's loans that default, and let p2 = the population proportion of Norm's loans that default. Enter != for ≠ as needed.) H0: Ha: (b) What is the sample default proportion for Carl? What is the sample default proportion for Norm? (c) Use a 0.05 level of significance. Calculate the test statistic. (Use p1 − p2. Round your answer to two decimal places.) What is the p-value? (Round…
A customer has approached a bank for a loan. Withoutfurther information, the bank believes there is a 4% chancethat the customer will default on the loan. The bank can runa credit check on the customer. The check will yield eithera favorable or an unfavorable report. From past experience,the bank believes that P(favorable report being received)|customer will default) 410, and P(favorable report| customer will not default) 19090. If a favorable report isreceived, what is the probability that the customer willdefault on the loan?
Refer to the Bayer Aspirin problem: How would the alternate hypothesis be written symbolically if it read. "The population mean is less than 6.0"?
A company manufacturing computer chips finds that 9% of all chips manufactured are defective. Management is concerned that employee inattention is partially responsible for the high defect rate. In an effort to decrease the percentage of defective chips, management decides to offer incentives to employees who have lower defect rates on their shifts. The incentive program is instituted for one month. If successful, the company will continue with the incentive program. a. Write the company's null and alternative hypotheses. Make sure to include the correct parameter, sign and number.Ho: H1: b. In this context describe a Type I error and the impact such an error would have on the company. Management thinks the incentive program was effective, when in fact it did not lower the defective rate from 9%. Management thinks the incentive program did not work, when in fact it did lower the defective rate from 9%. c. In this context describe a Type II error and the impact such an error…
Individuals filing federal income tax returns prior to March 31 received an average refund of $1,051. Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). (a) A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of H0 will support the researcher's contention. H0: μ > $1,051, Ha: μ ≤ $1,051 H0: μ = $1,051, Ha: μ ≠ $1,051 H0: μ ≥ $1,051, Ha: μ < $1,051 H0: μ ≤ $1,051, Ha: μ > $1,051 H0: μ < $1,051, Ha: μ ≥ $1,051 (b)For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of σ = $1,600 may be assumed. What is the test statistic? (Round your answer to two decimal places.) What is the…
A telecommunications company provided its cable tv subscribers with free access to a new channel for a month. It then chose a sample of 700 viewers and asked them whether they would be willing to pay an extra $10 per month to continue access to the channel. Total of 33 replied that they would be willing to pay. The marketing director of the company claims that more than 5% of all its subscribers would be willing to pay. Can you conclude that the directors claim is true? Use 0.01 level of significance.
Carpetland salespersons average $9,000 per week in sales. Steve Contois, the firm's vice president, proposes a compensation plan with new selling incentives. Steve hopes that the results of a trial selling period will enable him to conclude that the compensation plan increases the average sales per salesperson. (a) Develop the appropriate null and alternative hypotheses. Ho: H = 9,000 Hai H # 9,000 Ο H0: μ> 9,000 Ha: uS 9,000 Ho: H 9,000 (b) What is the type I error in this situation? What are the consequences of making this error? O It would be concluding u 9,000 when the plan does increase sales. This mistake could result in not implementing a plan that would increase sales. O It would be concluding u 9,000 when the plan does not increase sales. This mistake could result in implementing the plan when it would not help. (c) What is the type II error in this situation? What are the consequences of making this error? O It would be concluding u 9,000 when the plan does not increase…
You may need to use the appropriate appendix table or technology to answer this question. Carl Allen and Norm Nixon are two loan officers at a certain bank. The bank manager is interested in comparing the default rate on the loans approved by Carl to the default rate on the loans approved by Norm. In the sample of loans collected, there are 70 loans approved by Carl (21 of which defaulted) and 80 loans approved by Norm (17 of which defaulted). (a) State the hypothesis test that the default rates are the same for the two loan officers. (Let p1 = the population proportion of Carl's loans that default, and let p2 = the population proportion of Norm's loans that default. Enter != for ≠ as needed.) H0: Ha: (b) What is the sample default proportion for Carl? What is the sample default proportion for Norm? (c) Use a 0.05 level of significance. Calculate the test statistic. (Use p1 − p2. Round your answer to two decimal places.) What is the p-value? (Round…
1. An insurance company states that 70% of its claims are settled within 60 days. A consumer group selected a random sample of 85 of the company's claims to test this statement. If the consumer group found that 65 of the claims were settled within 60 days, do they have sufficient reason to support their contention that fewer than 70% of the claims are settled within 60 days? Use 5% level of significance. Step 1: State the hypotheses. Step 2: The level of significance, one/two-tailed test, degrees of freedom Step 3: Statistical Test Step 4: Computation Step 5: Decision Rule Step 6: Reject Ho or Failed to Reject Ho Step 7: Conclusion

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