Answer :
At the 0.10 level of significance, the evidence is insufficient to disprove the assertion that the proportion is 48%.
Based on the given conditions,
The analyst or researcher establishes a null hypothesis based on the research question or problem that they are trying to answer. Depending on the question, the null may be identified differently. For example, if the question is simply whether an effect exists (e.g., does X influence Y?) the null hypothesis could be H0: X = 0. If the question is instead, is X the same as Y, the H0 would be X = Y. If it is that the effect of X on Y is positive, H0 would be X > 0. If the resulting analysis shows an effect that is statistically significantly different from zero, the null can be rejected.
Let's start by outlining the research's null and alternate hypotheses;
A newsletter publisher believes that 60`% of their readers own a Rolls Royce.
This means that the null hypothesis is:
H0: p = 0.48
That is, that the proportion of their readers who own a Rolls Royce is of 0.48.
A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim.
The alternate hypothesis is:
Ha: p ≠ 0.48
Now that he fails to disprove the null hypothesis based on the evidence, we will draw the following conclusion:
Therefore,
At the 0.10 level of significance, the evidence is insufficient to disprove the assertion that the proportion is 48%.
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