Question

You have set a professional goal to become the head of your workplace’s Party Planning Committee. Your CEO has agreed that the role will be yours if you can inspire your team to create enough workplace goodwill that more than 60% of this year’s Holiday Party attendees participate in the ‘ugly sweater’ contest. When you see that 34 of the 47 attendees at the party have on some of the ugliest holiday sweaters you’ve ever seen, you think the new title is yours. However, the next day the CEO comes up to you and says she thinks it was just random chance that so many employees participated in the contest and she is going to hand your committee over to your arch-nemesis, Karen from finance. Claim your new title by proving her wrong!

Step 1) What type of hypothesis test is required here?

Answer 1

Solution :

one population proporation test

This is the right tailed test .

The null and alternative hypothesis is

H0 : p = 0.60

Ha : p > 0.60

= x / n = 34/47 = 0.7234

P0 = 0.60

1 - P0 = 1- 0.60 =0.40

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

=0.7234 - 60 / [0.60*(0.40) /47 ]

= 1.727

P(z >1.727 ) = 1 - P(z < 1.727 ) = 0.0421

P-value = 0.0421

significance level not available in quaestion