### Hypothesis Testing: Compulsive Buyers Questionnaire ScoreA random sample of 43 subjects who identified themselves as compulsive buyers was obtained and given a questionnaire. They had a mean questionnaire score of 0.56 with a standard deviation of 0.19. We will conduct a hypothesis test to determine if the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population. The significance level for the test is 0.05.---#### State the null and alternative hypotheses.Choose the correct set of hypotheses:**A.**- \( H_0 \): \( \mu = 0.56 \)- \( H_a \): \( \mu > 0.56 \)**B.**- \( H_0 \): \( \mu = 0.56 \)- \( H_a \): \( \mu < 0.56 \)**C.**- \( H_0 \): \( \mu \neq 0.56 \)- \( H_a \): \( \mu = 0.56 \)**D.**- \( H_0 \): \( \mu = 0.56 \)- \( H_a \): \( \mu \neq 0.56 \)---#### Find the z-score.Calculate the z-score and round to two decimal places:\[ z = \_\_\_\_ \]---#### Find the P-value.Determine the P-value and round to four decimal places:\[ \text{The P-value is } \_\_\_\_ \]---#### State the conclusion.Based on the P-value, choose the correct conclusion:**A.**- The P-value is less than or equal to the significance level.- There is sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population.**B.**- The P-value is greater than the significance level.- There is sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population.---This example guides you through conducting a hypothesis test for a mean, interpreting results, and making conclusions based on statistical evidence.

Given n=43 Mu=0.56 X-bar=0.56 Standard deviations=0.19

A random sample of 43 subjects who identified themselves as compulsive buyers was obtained and given a questionnaire. They had a mean questionnaire score of 0.56 with a standard deviation of 0.19. Test the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population. Use a 0.05 significance level. C State the null and alternative hypotheses. O A. Ho: μ=0.56 OB. Ho: μ = 0.56 Hg:μ <0.56 H₂: μ> 0.56 O C. Ho: μ*0.56 O D. Ho: μ = 0.56 Ha: μ0.56 H₂:μ=0.56 Find the z-score. Z= (Round to two decimal places as needed.) Find the P-value. The P-value is (Round to four decimal places as needed.) State the conclusion. O A. The P-value is less than or equal to the significance level. There is sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population. O B. The P-value is greater than the significance level. There is sufficient evidence to support the claim that the population of self-identified compulsive buyers

A random sample of 43 subjects who identified themselves as compulsive buyers was obtained and given a questionnaire. They had a mean questionnaire score of 0.56 with a standard deviation of 0.19. Test the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population. Use a 0.05 significance level. C State the null and alternative hypotheses. O A. Ho: μ=0.56 OB. Ho: μ = 0.56 Hg:μ <0.56 H₂: μ> 0.56 O C. Ho: μ*0.56 O D. Ho: μ = 0.56 Ha: μ0.56 H₂:μ=0.56 Find the z-score. Z= (Round to two decimal places as needed.) Find the P-value. The P-value is (Round to four decimal places as needed.) State the conclusion. O A. The P-value is less than or equal to the significance level. There is sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.56 for the general population. O B. The P-value is greater than the significance level. There is sufficient evidence to support the claim that the population of self-identified compulsive buyers

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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