Question

A restaurant estimates that about 11% of its adult patrons are vegetarians. However, a national organization says the number of adult vegetarians is at least 15%. Suppose that you sample n = 650 adults and the number who indicate they are vegetarian is x = 71. A restaurant estimates that about 11% of its adult patrons are vegetarians. However, a national organization says the number of adult vegetarians is at least 15%. Suppose that you sample n = 650 adults and the number who indicate they are vegetarian is x = 71. (aA restaurant estimates that about 11% of its adult patrons are vegetarians. However, a national organization says the number of adult vegetarians is at least 15%. Suppose that you sample n = 650 adults and the number who indicate they are vegetarian is x = 71. Find the test statistic and rejection region, using the α = 0.01 level of significance. (Round your answers to two decimal places)

What is the p-value associated with this test? (Round your answer to four decimal places.)

p-value =

Answer 1

Solution-:

Let,X= Number of adult patrons are vegetarians among 650

Vs   

Given: ,

Under the test statistic is given by,

(Calculated value)

P-value:

  

By MS-Excel command "=NORMDIST(-2.91,0,1,TRUE())"

< l.o.s. =0.01 hence, reject

Therefore, P-value=0.0018