Traditionally 35% of all loans by aBank have been to members of minoritygroups. During the past year the bankhas undertaken efforts to increase thisproportion. Of 150 loans currentlyoutstanding, 56 are identified ashaving been made to minorities. Has thebank been successful in its efforts toattract more minority customers. Testthe hypothesis using the 5% level ofsignificance. Also, calculate the P-value of the test and interpret it.

Answered: Image /qna-images/answer/5333fac3-9a13-4b40-a282-08894ad36f16.jpg

Answered: Traditionally 35% of all loans by a…

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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A direct mail appeal for contributions from a university’s alumni and supporters is considered to be too costly if less than 15% of the alumni and supporters provide monetary contributions. To determine if a direct mail appeal is cost effective, the fundraising director sends the direct mail brochures to a simple random sample of 173 people on the alumni and supporters mailing lists. They receive monetary contributions from 18 people. Does this evidence demonstrate that the direct mail campaign is not cost effective? Use a 0.02 level of significance. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0: p=0.15 Ha: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.15
Prior to a set of compensation policy changes at a company 29% of the employees surveyed said that they liked their job very much, 49% said that they liked their job moderately, and the remaining employees said that they were dissatisfied with their job. Now, in a survey of 206 employees, 51 said they liked their job very much, 102 said that they liked their job moderately, and the remaining employees said that they were dissatisfied with their job. When testing (at the 5% level of significance) whether the proportions have changed, what is the test statistic?
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Based on their records, a hospital claims that the proportion, p, of full-term babies born in the community that weigh more than 7 pounds is 36%. A pediatrician who works with several hospitals in the community would like to verify the hospital's claim. In a random sample of 180 babies born in the community, 46 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.01 level of significance? Expahel Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H. H : 0 H, :0 (b) Determine the type of test statistic to use. O-0 OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we reject the claim that the proportion of full-term babies born in the community that…
A auto shop wants to examine the proportion of customers that have to return after an appointment. Last year, an examination of 264 customers found that 30.1% had to return after an appointment. You instituted some changes at the auto shop this year, and found from a sample of 326 customers that 22.4% had to return after an appointment. You want to conduct an analysis to determine if there has been an increase in the proportion of customers that need to return after an appointment since the past year, with a = 0. 10. Using this information, what is the critical value of your analysis? Round your final answer to two decimal places. 2.11 1.96 2.33 1.28 1.64
Q: An online bookseller is considering selling an e-reader but will do so only if they have evidence that the proportion of customers who will likely purchase one is more than 0.4. Of a survey of 25 customers, 8 of them stated that they would likely purchase an e-reader. What should the bookseller do? Use a 5% significance level.
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The local sheriff has staked his campaign for re-election on the claim that that at least 88% of the drivers stopped on Saturday nights for speeding are under the influence of alcohol. A sample of 66 drivers who were stopped for speeding on a Saturday night was taken. Eighty percent of the drivers in the sample were under the influence of alcohol. Compute the test statistic.

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