You have set a professional goal to become the lead of your city’s annual Charitable Giving Campaign. The mayor has agreed to give you that role if you can inspire your team to create enough workplace goodwill that more than 60% of employees around the city increase their level of participation in the campaign this year. A random sample of post-campaign data shows that 34 of 47 employees have upped their giving this year, and you think the new title is yours. However, the next day the mayor comes up to you and says she thinks it could have been random chance that so many employees participated in the campaign this year. Show her you deserve to head up the campaign by proving her wrong! (Use αM6tK0A1AZ4oEWQ1oRRJAGIQ1DlY7AYJocf dnYnxB = 0.05.) What is the name of the type of hypothesis test required here?
Is this a left-tailed, right-tailed, or two-tailed test?
State AND verify all assumptions required for this test.
[HINT: this test should have four assumptions to be verified.]
State the null and alternate hypotheses for this test: (use correct symbols and format!)
Null hypothesis
Alternate hypothesis
Run the correct hypothesis test and provide the information below. Give the correct symbol AND numeric value of each of the following (round answers to 3 decimal places).
Test Statistic
Critical value [HINT: this is NOT αM6tK0A1AZ4oEWQ1oRRJAGIQ1DlY7AYJocf dnYnxB]
p-value
State your statistical decision (and justify it!)
Interpret your decision within the context of the problem: what is your conclusion?