For spirit week, a high school club is making wristbands from paper. The wristbands are designed to have a height of 1.8 centime
1 answer:
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Answer: Yes
Step-by-step explanation: 144 is a perfect square. In other words, it's possible to find a whole number that can be multiplied by itself that gives us 144.
In this case, we multiply 12 by 12 or 12² to get 144 which means 144 is a perfect square. Also, it's on our perfect square list which I will attach below.
Answer:
We conclude that the proportion of adults who totally abstain from alcohol has changed.
Step-by-step explanation:
We are given that in 1943, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?"
Of the 1100 adults surveyed, 429 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 352 in
<u><em>Let p = proportion of adults who totally abstain from alcohol.</em></u>
where, p = = 0.39
So, Null Hypothesis, : p = 39% {means that the proportion of adults who totally abstain from alcohol has not changed}
Alternate Hypothesis, : p
39% {means that the proportion of adults who totally abstain from alcohol has changed}
The test statistics that would be used here <u>One-sample z proportion statistics</u>;
T.S. = ~ N(0,1)
where, = sample proportion of adults who totally abstain from alcohol =
= 0.32
n = sample of adults surveyed = 1100
So, <u><em>test statistics</em></u> =
= -4.976
The value of z test statistics is -4.976.
<em>Now, at 0.10 significance level the z table gives critical values of -1.645 and 1.645 for two-tailed test.</em><em> </em>
<em>Since our test statistics doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>
Therefore, we conclude that the proportion of adults who totally abstain from alcohol has changed.