Question

5. After carrying out a survey, a market research company asserts that 65% of viewers watch a certain programme. Another company interview 80 viewers and it is found that 47 watch the programme. Does this provide evidence, at the 10% level of significance, that the first company’s figure of 65% is incorrect?

Answer 1

given data are:-

sample size (n) = 80

sample proportion () = 47/80 = 0.5875

hypothesis:-

test statistic be:-

p value is :-

[ in any blank cell of excel type =NORMSDIST(-1.172)]

decision:-

p value = 0.2412 > 0.10 (alpha)

so, we fail to reject the null hypothesis.

conclusion:-

there is not enough evidence to claim that the first company’s figure of 65% is incorrect at 0.10 level of significance.

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