Question

# In a recent survey of parents at Clairmont Elementary, 51 out of 75 parents supported including...

In a recent survey of parents at Clairmont Elementary, 51 out of 75 parents supported including sign language as a part of the elementary school curriculum. In a survey of Minnesota elementary schools, it was published that 56% of parents support including sign language in elementary school curriculum. At a 5% level of significance, are Clairmont Elementary’s results the same as the state percentage? Conduct a seven-step hypothesis test.

Ho :   p =    0.56
H1 :   p ╪   0.56       (Two tail test)

Level of Significance,   α =    0.05
Number of Items of Interest,   x =   51
Sample Size,   n =    75

Sample Proportion ,    p̂ = x/n =    0.6800

Standard Error ,    SE = √( p(1-p)/n ) =    0.0573
Z Test Statistic = ( p̂-p)/SE = (   0.6800   -   0.56   ) /   0.0573   =   2.0936

p-Value   =   0.0363   [excel formula =2*NORMSDIST(z)]
Decision:   p-value<α , reject null hypothesis
There is enough evidence to reject the claim that 56% of parents support including sign language in elementary school curriculum

#### Earn Coins

Coins can be redeemed for fabulous gifts.