FIND THE ANSWERS FOR B-2 and C. A survey found that Massachusetts residents spent an average of $861.75 on the lottery, more than three times the U.S. average. A researcher at a Boston think tank believes that Massachusetts residents spend less than this amount. He surveys 100 Massachusetts residents and asks them about their annual expenditures on the lottery. (You may find it useful to reference the t table.) Click here for the Excel Data File a. Specify the competing hypotheses to test the researcher’s claim. multiple choice 1 H0: μ ≥ 861.75; HA: μ < 861.75 b-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) -0.863 b-2. Find the p-value. multiple choice 2 p-value < 0.01 0.01 p-value < 0.025 0.025 p-value < 0.05 0.05 p-value < 0.10 p-value 0.10 c. At α = 0.10, what is the conclusion? multiple choice 3 Reject H0; there is insufficient evidence to state that the average Massachusetts resident spent less than $861.75 on the lottery. Reject H0; there is sufficient evidence to state that the average Massachusetts resident spent less than $861.75 on the lottery. Do not reject H0; there is sufficient evidence to state that the average Massachusetts resident spent less than $861.75 on the lottery. Do not reject H0; there is insufficient evidence to state that the average Massachusetts resident spent less than $861.75 on the lottery.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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FIND THE ANSWERS FOR B-2 and C.

A survey found that Massachusetts residents spent an average of $861.75 on the lottery, more than three times the U.S. average. A researcher at a Boston think tank believes that Massachusetts residents spend less than this amount. He surveys 100 Massachusetts residents and asks them about their annual expenditures on the lottery. (You may find it useful to reference the t table.)

Click here for the Excel Data File

a. Specify the competing hypotheses to test the researcher’s claim.

multiple choice 1

H₀: μ ≥ 861.75; H_A: μ < 861.75

b-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.)

-0.863

b-2. Find the p-value.

multiple choice 2

p-value < 0.01
0.01 p-value < 0.025
0.025 p-value < 0.05
0.05 p-value < 0.10
p-value 0.10

c. At α = 0.10, what is the conclusion?

multiple choice 3

Reject H₀; there is insufficient evidence to state that the average Massachusetts resident spent less than $861.75 on the lottery.
Reject H₀; there is sufficient evidence to state that the average Massachusetts resident spent less than $861.75 on the lottery.
Do not reject H₀; there is sufficient evidence to state that the average Massachusetts resident spent less than $861.75 on the lottery.
Do not reject H₀; there is insufficient evidence to state that the average Massachusetts resident spent less than $861.75 on the lottery.

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