Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(3,-2), B(6,-2), C(6,5) and
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Answer:
a) If we perform a two-sided test, we can not reject the null hypothesis, so we have no enough evidence that the proportion of people who remember the ad is different from 0.19.
b) In the case of a one-side test, the null hypothesis is rejected. We have evidence to claim that more than 19% of the people remember the ad.
Step-by-step explanation:
The null and alternative hypothesis are:
To be a two-sided test, it has to be a not-equal sign, allowing π to be significantly less or more than0.19.
The significance level is 10%.
The sample size is 300.
The sample proportion is p=67/300=0.2233.
The standard deviation is:
The statistic z is:
The P-value is bigger than the significance level, so this two-sided test can not reject the null hypothesis.
b) In this case, the null and alternative hypothesis are:
The P-value in this condition is:
In this case, the P-value is lower than the significance level, so the effect is significant. The null hypothesis is rejected.