Answer to Question #180642 in Statistics and Probability for Joshua Cornfield

Question

14% of all Canadians have seasonal allergies. 21.48% of 149 Montrealers reported suffering from allergies. Develop a two-tailed alternative hypothesis. Use the period to indicate the decimal and not the comma. Ex: 52.3 NOT 52,3

Complete this concluding statement:

We have compared the sample statistic 

Answer for part 1

%

 to the population parameter 

Answer for part 2

% 

and found a z value of 

Answer for part 3

 

which corresponds to a p value of 

Answer for part 4

. 

Using an alpha level of 0.05 we Answer

fail to reject

reject

 the null hypothesis of no difference between the percentage of Montrealers and Canadians with seasonal allergies.

Answer 1

Solution

We have compared the sample statistic 21.48% to the population parameter 14% and found a z value of 0.5199 which corresponds to a p value of P ≤ 0.05 Using an alpha level of 0.05 we reject the null hypothesis of no difference between the percentage of Montrealers and Canadians with seasonal allergies.