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Tcecarenko [31]
3 years ago
9

Female athletes at the University of Colorado, Boulder, have a long-term graduation rate of 67% (Source: Chronicle of Higher Edu

cation). Over the past several years, a random sample of 38 female athletes at the school showed that 21 eventually graduated. Does this indicate that the population proportion of female athletes who graduate from the University of Colorado, Boulder, is now less than 67% ?Use a 5% level of signicance.
Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0

Answer:

Yes, we can assume that the percent of female athletes graduating from the University of Colorado is less than 67%.

Step-by-step explanation:

We need to find p-value first:

z statistic = (p⁻ - p0) / √[p0 x (1 - p0) / n]

p⁻ = X / n = 21 / 38 = 0.5526316

the alternate hypothesis states that p-value must be under the normal curve, i.e. the percent of female athletes graduating remains at 67% 

H1: p < 0.67 

z = (0.5526316 - 0.67) / √[0.67 x (1 - 0.67) / 38] = -0.1173684 / 0.076278575

z = -1.538681 

using a p-value calculator for  z = -1.538681, confidence level of 5%

p-value = .062024, not significant

Since p-value is not significant, we must reject the alternate hypothesis and retain the null hypothesis.

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What is the length of the base if the area is 32 cmand the height is 4 cm
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Sarah has 25 candies. Sarah gave 2/5 of the candies to her sister. Of the amount left she gave 2/3 to her friend. How many candi
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2 years ago
In the given figure, O is centre of the circle. Find the value of x and y? ​
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The value of x = 13cm and y = 12cm.

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P is the exterior point to the circle with centre O

Radius = 5cm

Length of the tangent = 12 cm

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We know that

The angle between the radius of the circle and the tangent at the point of contact is 90°

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<h3>y = 12 cm</h3>

<u>Answer</u><u>:</u> The value of x=13cm and y = 12cm.

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