A hypothesis test is performed in a study of AirBnB's to learn about the proportion of them that have 4 televisions. The null and alternative hypotheses are as followed: Null: p=0.13 Alternative: p<0.13 Researchers had determined that 39/500 randomly selected airbnb's had 4 televisions. Once all of the necessary conditions were verified for a statistical inference, the researchers correctly calculated the P-Value to be approximately 2.7269x10^-4 a) Please use the appropriate symbols and values to communicate the specific conditional probability that the P-Value represents in the context of this study. b) In a sentence or two, describe the specific event in the context of this study which has probability equal to the P-Value of occuring. c) When the P-Value in this hypothesis test is rounded and expressed with 3 digits after the decimal point (0.000) does it mean that the event described in part (b) has no chance of occurring? Explain in one to two sentences.

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A hypothesis test is performed in a study of AirBnB's to learn about the proportion of them that have 4 televisions. The null and alternative hypotheses are as followed:

Null: p=0.13

Alternative: p<0.13

Researchers had determined that 39/500 randomly selected airbnb's had 4 televisions. Once all of the necessary conditions were verified for a statistical inference, the researchers correctly calculated the P-Value to be approximately 2.7269x10^-4

a) Please use the appropriate symbols and values to communicate the specific conditional probability that the P-Value represents in the context of this study.

b) In a sentence or two, describe the specific event in the context of this study which has probability equal to the P-Value of occuring.

c) When the P-Value in this hypothesis test is rounded and expressed with 3 digits after the decimal point (0.000) does it mean that the event described in part (b) has no chance of occurring? Explain in one to two sentences.

 

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