A researcher claims that 90% of people trust DNA testing. In a survey of 100 people, 91 of them said that they trusted DNA testing. Is the actual proportion of people who trust DNA testing larger than 90%? Test the researcher's claim at the 1% level of significance.

Question

Mathematics

Caylee

17 July, 06:18

A researcher claims that 90% of people trust DNA testing. In a survey of 100 people, 91 of them said that they trusted DNA testing. Is the actual proportion of people who trust DNA testing larger than 90%? Test the researcher's claim at the 1% level of significance.

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Answers (1)

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Chester · Answer 1

You must know that % is a number out of 100.

Therefore given 91/100 trusted DNA surveying, we know as a percentage this is 91% from the equation below:

(91/100) * 100=91

We can conclude that 1%=1 person.

Although the difference is only 1 (91-90=1), the actual proportion of people who trust DNA testing is larger than the 90% by 1%.