According to a study done by the Pew Research Center, 39% of adult Americans believe that marriage is now obsolete. (a) Suppose a random sample of 500 adult Americans is asked whether marriage is obsolete. Describe the sampling distribution of p ˆ , the proportion of adult Americans who believe marriage is obsolete, by answering the following questions: (i) Verify the model requirements. i. e. verify that np(1 – p

The proportion follows normal distribution,

 Mean u = 0.39

 standard deviation σ = 0.0218

Step-by-step explanation:

Solution:-

- Lets assume the population proportion ( p ) to be the percentage of adult Americans who believe that marriage is now obsolete.

- We will check for normality:

 Lets take,   p^ = p  (Mean proportion of the distribution)

- The condition of normality,

                  n*p*( 1 - p ) ≥ 10

Where, n : The sample size taken.

                  500*0.39*( 1 - 0.39 ) = 500*0.39*( 0.61 )

                  118.95 ≥ 10

- Hence, with the testing statistics the condition for normality are validated. Hence, the distribution for proportion of adult americans who believe that marriage is now obsolete follows a normal distribution.

- The parameters of the distribution are:

    Mean : u = p^ = p = 0.39

    Standard deviation σ =   =      

this story was prepared by jim

mccullaugh in los angeles and

al stewart in new york.

new york the colossal success of "top gun" appears to have dramatically altered madison avenue's

perception of corporate sponsorship

of home video projects.

the paramount home video re- lease, featuring a 60- second diet

pepsi spot, was by no means the

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first major theatrical release to do so. in the aftermath of the title's

success, paramount is widely ex- pected to ink a similar deal for

"crocodile dundee" or "star trek

iv" or both.

corporate america's new attraccds push british

recording sales

to 19% gain

london fueled by the compact

disk boom, the value of u.k. manu- facturer shipments of recordings

rose 19% in the 12 -month period ended march 1987, according to the

british phonographic industry.

total value of u.k. shipments for

the period was $755 million for all

configurations. (all value figures

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cd sales totaled 10.7 million units

worth $121.3 million- compared

with 3.7 million units worth $39.5

million in the prior 12 months -and

accounted for two -thirds of the

overall gain in trade value. at present growth rates, says the bpi, cd

sales for calendar 1987 will reach 20

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step-by-step explanation: