maximize

One sample proportion hypothesis test:

Outcomes in : Cell Success : yes p : Proportion of successes H₀: p = 0.8 H_A: p 0.8 Hypothesis test results:

Variable	Count	Total	Sample Prop.	Std. Err.	Z-Stat	P-value
Cell	243	312	0.77884615	0.022645541	-0.93412855	0.3502

Based on a recent study, roughly 80% of college students in the U.S. own a smartphone. Is the proportion of smartphone owners lower at this university? Please, answer the questions From #1 TO # 6. Thank you!!

#1: State hypotheses in symbolic form and in words. (The following should be clear in answer: the population of interest and the meaning of the proportion p in terms of the variable Cell.)

#2: StatCrunch uses a normal model to estimate the P-value probability. Verify that normality conditions are met.

#3: What is the P-value and interpret its meaning as a conditional probability?

#4: State a conclusion that answers the research question. Use a significance level of 5%. (Be sure to state the conclusion in context. This means that should include the P-value, and reference the population and the variable Cell in the conclusion.)

NOTES: We cannot know whether a Type 1 or Type 2 error actually occurs in a hypothesis test. But, based on the results of our hypothesis test, we should be aware of which type of error is possible and what that error means in the context of our test.

#5: For the hypothesis test conducted above, which type of error is possible, Type 1 or Type 2? Briefly explain why.

#6: In the context of the hypothesis test: Describe a potential consequence of this type of error.