Pick a number between 1 and 50

Marry claims when asked to pick a number between 1 and 50, less than 40% of the picks will be even numbers. You will test this claim at the a = 0.05 level of significance using the p-value method. 15 people picked even number. 1. Calculate the sample proportion p. the proportion of even numbers in your sample. You do not need to show your work. Round to 3 decimal places. PL_0.37 2. State the null and alternate hypothesis: Hoi H: 3. Calculate the test statistic. (SHOW YOUR WORK). 4. Draw the standard normal distribution curve and indicate (by shading) the p-value. 5. State your p-value: 6. From your analysis, do you roject the null hypothesis? Does your sample data support Monica claim

Marry claims when asked to pick a number between 1 and 50, less than 40% of the picks will be even numbers. You will test this claim at the a = 0.05 level of significance using the p-value method. 15 people picked even number. 1. Calculate the sample proportion p. the proportion of even numbers in your sample. You do not need to show your work. Round to 3 decimal places. PL_0.37 2. State the null and alternate hypothesis: Hoi H: 3. Calculate the test statistic. (SHOW YOUR WORK). 4. Draw the standard normal distribution curve and indicate (by shading) the p-value. 5. State your p-value: 6. From your analysis, do you roject the null hypothesis? Does your sample data support Monica claim

Answer

H0 : P = 0.4 vs H1 : P < 0.4

Given :
= 0.37 , n = 15 , q = 1- 0.4 = 0.6

Test statistic:

z =
=  
=

z = -0.24

P-value : P( z ≤ -0.24 ) = 0.4052 ----(from z
score table )

Decision: As P-value is greater than α= 0.05 , we fail
to reject the null hypothesis H0

Conclusion: There is no sufficient evidence to
support the Marry's claim.