Answered

a publisher reports that 75% of their readers own a particular make of car. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 200 found that 68% of the readers owned a particular make of car. state the null and alternative hypotheses. Determine the P value of the test statastic. Round your answer to four decimal places.



Answer :

varshamittal029

P value of the test statistic = 0.0220

NULL and alternative hypothesis

  • In statistical hypothesis testing, null and alternative hypotheses are used.
  • A test's null hypothesis always predicts that there will be no effect or relationship between variables, whereas the alternative hypothesis states your research prediction of an effect or relationship.

Given that,

p = 0.75

n =200

p^ = 0.68

Testing statistic;

 p = 0.75

q = 1 - p

   = 1 - 0.75

   = 0.25

 [tex]Z = \frac{p^ -p }{\sqrt{\frac{p.q}{n} } }[/tex]

    = 0.68 - 0.75 / √(0.75 × 0.25)/200

    = -2.2861

Z = -2 .29

p value = 2 × (Z ≤ -2.29 )

            = 2 × 0.0110

p value = 0.0220

To learn more about null hypothesis check the given link

https://brainly.com/question/28042334

#SPJ4

Other Questions