Mathematics, 17.12.2020 17:30 quickestlearner6036

In a recent year, 6% of cars sold had a manual transmission. A random sample of college students who owned cars revealed the following: out of 124 cars, 29 had manual transmissions. Estimate the proportion of college students who drive cars with manual transmissions with 90% confidence.

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Answer from: jetjet123123

The estimate the proportion of college students who drive cars with manual transmissions with 90% confidence is

0.171 < p < 0.297

Step-by-step explanation:

From the question we are told that

The sample size is n = 124

The population proportion p = 0.06

The number of cars with manual transmissions is k = 29

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90 ) \%$

=> $\alpha = 0.10$

Generally the sample proportion is mathematically represented as

$\^ p = \frac{ 29 }{124 }$

=> $\^ p = 0.234$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.645 * \sqrt{\frac{0.234 (1- 0.234 )}{124} }$

=> E = 0.063

Generally 95% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> 0.234 - 0.063 < p < 0.234 + 0.063

=> 0.171 < p < 0.297

Answer from: Quest

f(x) = y

f(-3) = -5

step-by-step explanation:

Answer from: Quest

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

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