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Suppose you wanted to test a hypothesis that when people pick a number 1 through 10,...

Suppose you wanted to test a hypothesis that when people pick a number 1 through 10, they pick the number 7 more often than if they were to choose each number with equal probability. You polled 100 people and 15 of them chose the number 7.. Write out the hypothesis for the study above both words and symbols. also state the value of 1 sample statistic along with its appropriate symbol

Math   Statistics-And-Probability   
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Answer #1

null hypothesis: probability of choosing number 7 is 1/10

alternate hypothesis: probability of choosing number 7 is greater than1/10

Ho :   p =    0.1
H1 :   p >   0.1

Number of Items of Interest,   x =   15
Sample Size,   n =    100
      
Sample Proportion ,    p̂ = x/n =    0.15
      
Standard Error ,    SE = √( p(1-p)/n ) =    0.0300
      
Z Test Statistic =    Z = ( p̂-p)/SE =    1.6667

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