1) For each of the following, identify the null hypothesis and the corresponding

Question

1) For each of the following, identify the null hypothesis and the corresponding alternative hypothesis.

a) A computer company claims that less than one in one thousand of its chips are defective.

b) An environmental organization believes that it can establish statistically that a company that produces PCB for electric insultation is discharging on average, more than 6 parts per million of PCB in a water stream.

c) A medical researcher claims that she can establish on the basis of data that a new medical treatment can extend beyond 3 years the true mean survival time of patients having a particular type of cancer.

d) The president of a large corporation claims that he can establish that at least 60 percent of shareholders are in favor if its acquisition of a company.

e) A research biologist working for a bioengineering firm claims that, statistically, the majority of the US population is indifferent to the use of hormones to induce milk production in cows.

Explanation / Answer

a)

ho: proportion of defective chips = 1/1000

h1: proportion of defective chips is less than 1/1000

b)

ho: the significant difference in the average insulation discharge of PCB BETWEEN electric and water is 6. That is u1 – u2 = 6

H1: PCB for electric insultation is discharging on average, more than 6 parts per million of PCB in a water stream. That is u1 – u2 > 6

c)

ho: a new medical treatment can’t extend beyond 3 years the true mean survival time of patients having a particular type of cancer. u = 3

h1: a new medical treatment can extend beyond 3 years the true mean survival time of patients having a particular type of cancer. u > 3

d)

ho: he can establish that 60 percent of shareholders are in favor if its acquisition of a company. P = .60

h1: he can establish that at least 60 percent of shareholders are in favor if its acquisition of a company. P > .60

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