Mathematics, 07.04.2020 17:39 LaToyaShante1228

A random sample of 150 mortgages in the state of Mississippi was randomly selected. From this sample, 17 were found to be delinquent on their current payment. Calculate the 98% confidence interval estimate of the proportion of Mississippi mortgages that are delinquent. A random sample of 150 mortgages in the state of Mississippi was randomly selected. From this sample, 17 were found to be delinquent on their current payment. Calculate the 98% confidence interval estimate of the proportion of Mississippi mortgages that are delinquent.

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98% confidence interval estimate of the proportion of Mississippi mortgages that are delinquent lie between ( 0.0529 , 0.1731 ) or 5.29% to 17.31%

Step-by-step explanation:

Given -

A random sample of 150 mortgages in the state of Mississippi was randomly selected. From this sample, 17 were found to be delinquent on their current payment.

Sample size n = 150

Let x be the no of people delinquent on their current payment

Proportion of sucess $(\widehat{p})$ = $\frac{x}{n}$ = $\frac{17}{150}$ = 0.113

confidence interval = 99%

$\alpha = 1- \frac{98}{100}$ = .02

$z_{\frac{\alpha }{2}}$ = $z_{\frac{.02}{2}}$ = 2.326

98% confidence interval estimate of the proportion of Mississippi mortgages that are delinquent = $\widehat{p}\pm z_{\frac{\alpha }{2}}\frac{\sqrt{\widehat{p} (1 - \widehat{p})}}{n}$

= $0.113\pm z_{\frac{.02 }{2}}\frac{\sqrt{0.113 (1 - 0.113)}}{150}$

= $0.113\pm 2.326\times.02584$

= $0.113\pm .06010$

= (0.113 - .06010) , (0.113 + .06010)

= ( 0.0529 , 0.1731 )

Answer from: Quest

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !

Answer from: Quest

5 cm

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

$\dfrac{x}{40}=\dfrac{4}{32}$ cross multiply

$32x=(40)(4)$

$32x=160$ divide both sides by 32

$x=5$

Question 3 what is the value of x? cm 3 cm 4 cm 5 cm 4.5cm

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