Mathematics, 14.04.2020 18:40 biancatay

Results from previous studies showed 76% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.

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Answer from: reetajmahfouz3816

Yes, this indicate that the percentage has increased from that of previous studies.

Step-by-step explanation:

We are given that Results from previous studies showed 76% of all high school seniors from a certain city plan to attend college after graduation.

A random sample of 200 high school seniors from this city reveals that 162 plan to attend college.

Let p = % of all high school seniors from a certain city who plan to attend college after graduation

SO, Null Hypothesis, H_0 : p $\leq$ 76% {means that the percentage has not increased from that of previous studies}

Alternate Hypothesis, H_a : p > 76% {means that the percentage has increased from that of previous studies}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of high school seniors from this city who

plan to attend college = $\frac{162}{200}$ = 0.81

n = sample of high school seniors = 200

So, test statistics = $\frac{0.81-0.76}{{\sqrt{\frac{0.81(1-0.81)}{200} } } } }$

= 1.8025

Now at 5% significance level, the z table gives critical value of 1.6449 for right-tailed test. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the percentage has increased from that of previous studies.

Answer from: Quest

1. minimum

2. 6400

3. eight

hope this !

Answer from: Quest

ok so the answer to your question is simple as long as you look at the different dimensions that contain the exemplary letters that combined in the right order give you words that eventually within the 5th dimension will conform and give you the correct answer to your question. hope i , stop looking at this easily, look at it with a spectral view.

step-by-step explanation:

told you

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