Question

It is believed that 44% of children have a gene that may be linked to juvenile diabetes. Researchers at a firm would like to test new monitoring equipment for diabetes. Hoping to have 22 children with the gene for their study, the researchers test 735 newborns for the presence of the gene linked to diabetes. What is the probability that they find enough subjects for their study?

What is the probability? Select the correct answer below and, if necessary, fill in the answer box to complete your choice. (Please show how to calculate on TI-84 Plus)

A.P(enough subjects)equals = ???

(Round to three decimal places as needed.)

B.The conditions for finding the probability are not satisfied.

Answer #1

n= | 735 | p= | 0.0400 |

here mean of distribution=μ=np= | 29.40 |

and standard deviation σ=sqrt(np(1-p))= | 5.31 |

for normal distribution z score =(X-μ)/σx |

therefore from normal approximation of binomial distribution and continuity correction: |

A.P(enough subjects):

probability =P(X>21.5)=P(Z>(21.5-29.4)/5.313)=P(Z>-1.49)=1-P(Z<-1.49) =1-0.0681 |

(Note

if using ti-84 press 2nd -vars- use command :normalcdf(21.5,1000000,29.4,5.3126) |

It is believed that 4 % of children have a gene that may be
linked to juvenile diabetes. Researchers at a firm would like to
test new monitoring equipment for diabetes. Hoping to have 24
children with the gene for their study, the researchers test 733
newborns for the presence of the gene linked to diabetes. What is
the probability that they find enough subjects for their study?
What is the probability? Select the correct answer below and, if
necessary,...

Researchers believe that 6% of children have a gene that may be
linked to a certain childhood disease. In an effort to track 50 of
these children, researchers test 950 newborns for the presence of
this gene. What is the probability they find enough subjects for
their study?

Hypothesis Test for 1 -Proportion Z
2) of children are believed to carry a gene that predisposes
them to juvenile diabetes. Researchers find in a sample of 732
newborns 87 carry the gene.
a) What is the sample proportion p^. What is u p^ and s p^
b) Given the claim that 10% of children have this gene, test at
the .05 significance level that the true proportion is greater than
.10
Description
Hypotheses:
Conditions check: the Normal Distribution is...

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