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`Exercise -1`

300 people from distract and 200 from district of sample voters are casting 56% and 48%. votes to a candidate. using 0.05 significance level test that he is preferable to both district. Distract a prefers more ( a=0.05)

`Exercise -2`

from 900 adult people of Dhaka city. it is found that 50 are smokers and from Others city among 600 people 450 are Smokers. Can it be said from the required information that there is a significant difference between two city is smokers using 5% significance level.

`Exercise -3`

A company is considering two different television advertisement for promotion of a new product. Management believes that advertisement A is more effective than advertisement B. two test market areas with virtually identical consume characteristics are selected: advertisement A is used in one area and advertisement B in the other are. in a random sample of 60 customers who saw advertisement A, 18 tried the product. in a random sample of 100 customers who saw advertisement B, 22 tried the product. Does this indicate that advertisement A is more effective than advertisement B, if a 5% level of significance is used?

`Exercise - 4`

Random samples of 100 bolts manufactured by machine 'A' and 50 bolts from machine 'B' Showed 10 and 6 defective bolts respectively. Is there significant difference in the performance of the two Machines?

`Exercise - 5`

A Machine puts out 20 imperfect articles in a sample of 1000. after the machine is overhauled, it puts out 5 imperfect articles in a sample of 300. Has the machine improved?

`Exercise -6`

in Dhaka out a random sample of 500 households, 25% declared that they were regular readers of ' Jugantor ' in ctg. the proportion in sample of 600 was 30%. is there a significant difference in the two proportions?

`Exercise -7`

in a random sample of 500 persons from town A, 200 are found to be consumers of wheat. in a sample of 400 from town B, 220 are found to be consumers of wheat. Do these date reveal a significant difference between town A and B so far as the proportion of wheat consumers is concerned?

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