A potential advertiser for marketing purpose, after performing a test at 0.05 level of significance fails to reject the null hypothesis leads to the conclusion that there is not sufficient evidence at the 0.05 level of significance to say that the percentage is less than 68%.
Hypothesis testing refers to a statistical inference approach used to determine if the available data sufficiently support a particular hypothesis. Hypothesis testing enable researchers to make probabilistic statements about population parameters. In the given case, the null and alternative hypothesis regarding the publisher’s claim state:
The null hypothesis stated that the 68% or more of the readers own a Rolls Royce. H0: p ≥ 0.68
The alternate hypothesis states that less than 68% of the readers own a Rolls Royce. H1: p < 0.68
As the advertiser failed to reject the null hypothesis, it was accepted and thus, 68% or more of the readers own a Rolls Royce. It is concluded that there is not sufficient evidence at the 0.05 level of significance to say that the percentage is less than 68%.
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