A sample of 300 students of Under-graduate and 300 students ofPost-graduate classes of a university were asked to give their opinion towards the autonomouscolleges. 190 of the Under-graduate and 210 of the Post-graduate students favoured theautonomous status."Present the above fact in the form of a frequency table and test, at 5% level, that opinions ofUnder-graduate and Post-graduate students on autonomous status of colleges are independent.(Table value of chi-square at 5% level for 1 d.t. is 3.84).

Answered: Image /qna-images/answer/8c632841-7216-4dec-9d6f-5ac82322224e.jpg

Answered: A sample of 300 students of…

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 ambulance service claims that at least 65% of the calls received involve life-threatening emergencies. To test on this claim, a random sample of 150 calls received was selected from the service’s records. If 87 of the calls received involved life-threatening emergencies, is the claim true at the 5% level of significance?
In a certain school district, it was observed that 25% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 93 out of 316 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.01α=0.01 level of significance.
In a certain school district, it was observed that 29% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 130 out of 373 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.05 level of significance.What is the hypothesized population proportion for this test?
In a poll conducted by The New York Times and CBS News, 44% of Americans approve of the job that the Supreme Court is doing (The New York Times, June 8, 2012). Assume that this percentage was true for the population of Americans at the time of this poll was conducted. A recent poll of 1265 Americans showed that 38% of them approve of the job that the Supreme Court is doing. At a 2% significance level, can you conclude that the current proportion of Americans who approve of the job that the Supreme Court is doing is different from 44%?Round your answers to two decimal places.zobserved =zcritical left =zcritical right =We (reject, fail to reject) the null hypothesis. We conclude that the current proportion of Americans who approve of the job that the Supreme Court is doing is Choose your answer; We conclude that the current proportion of Americans who approve of the job that the Supreme Court is doing is (not different from, different…
Researchers conducted a study to find out if there is a difference in the use of eReaders by different age groups. Randomly selected participants were divided into two age groups. In the 16- to 29-year-old group, 7% of the 628 surveyed use eReaders, while 11% of the 2,309 participants 30 years old and older use eReaders. Test at the 1% level of significance.
A survey of contraceptive methods conducted by the National Center for Health Statistics in 1965 indicated that among 30-39 year old, married, nonpregnant women who practiced contraception 20% used some form of permanent contraception. The frequency of use of permanent contraception is suspected to have changed over the next 4 decades. To test this hypothesis, records were selected of 50 women subscribing to prepaid health plans in 2005 who were 30-39 year old, married, nonpregnant and practiced contraception. From these records 16 used some form of permanent contraception. Suppose we wish to test the hypothesis that a change has occurred in the true proportion of women who use permanent contraception without specifying the direction of that change. Suppose researchers are willing to commit the error of mistakenly rejecting the null hypothesis only 1% of the time. What is the significance level in this problem? Specify the null and alternative hypothesis Carry out the steps of the…
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A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in New York and Illinois. Due to recent trends in the childcare industry, the firm suspects that the that the mean annual income of childcare workers in the state of New York is greater than the mean annual income of childcare workers in Illinois. To see if this is true, the firm selected a random sample of 20 childcare workers from New York and an independent random sample of 20 childcare workers from Illinois and asked them to report their mean annual income. The data obtained were as follows. Annual income in dollars New York 46686 , 34979 , 47325 , 48892 , 51128 , 56792 , 47785 , 48995 , 57301 , 55176 , 48002 , 45718 , 50351 , 58527 , 47067 , 53699 , 54361 , 49727 , 36426 , 50870 Illinois 48009 , 46871 , 42774 , 49790 , 43163 , 45401 , 41068 , 50300 , 47064 , 42003 , 47775 , 41917…
Suppose a group of researchers attempt to confirm the result of "Distractions in Everyday Driving," covered in News Story 5 "Driving while distracted is common, researchers say," by recreating the study. In a random sample or 240male drivers,102indicated they have experienced external distractions while driving. In addition, in a random sample of 270 female drivers, 98 indicated they have experienced external distractions while driving. Test whether the population proportion of male drivers experiencing external distractions while driving was greater than the population proportion of female drivers experiencing external distractions while driving. Use a .05 level of significance. A. What assumptions are required for conducting this test. B. State the null and alternative hypotheses (both mathematical notation and words) C. Calculate the test statistics (by hand) D. Give the P-value associated with the hypothesis test in part (a). E. State the conclusion, using p-value approach.

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