Part 1) CHARITABLE GIVING (8 pts)

You are the manager of an internal charitable giving campaign at a non-profit organization. The board of the organization has agreed to match the employee donations this year if you can inspire the employees to create enough workplace goodwill that more than 70% of employees in the organization increase their level of participation in the campaign this year.A random sample of post-campaign data shows that 43 of 51 employees have increased their giving this year. Present your findings to the board, and if more than 70% of employees increased their participation of charitable giving this year hold the board accountable for their promise of matching the donations. Perform a hypothesis test following the steps below (Use = 0.10).

1.A. What is the name of the type of hypothesis test required here?

B. Is this a left-tailed, right-tailed, or two-tailed test?

2.State AND verify all assumptions required for this test.

[HINT: This test should have four assumptions to be verified.]

3.State the null and alternate hypotheses for this test: (use correct symbols and format!)

Null hypothesis

Alternate hypothesis

4.Run the correct hypothesis test and provide the information below.Give the correct symbols AND numeric value of each of the following (round answers to 3 decimal places).

Test Statistic

Critical value [HINT: this is NOT ]

p-value

5.State your statistical decision (and justify it!)

6.Interpret your decision within the context of the problem.What is your conclusion?