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unch to upd What percentage of the population live in their state of birth According to the U S Census Bureau s 2014 American Community Survey the figure ranges from 25 in Nevada to 78 7 in Louisiana The average percentage across all states and the District of Columbia is 57 7 The data in the file HomeState are consistent with the findings in this American Community Survey The data are for random sample of 120 Arkansas residents and for a random sample of 180 Virginia residents a Formulate hypotheses that can be used to determine whether the percentage of stay at home residents in the two states differs from the overall average of 57 7 O Ho P 0 577 H P 0 577 O Ho P 0 577 Ha P 0 577 Ho P 0 577 Ha p 0 577 Ho P 0 577 H P 0 577 Ho P 0 577 H P 0 577 b Estimate the proportion of stay at home residents in Arkansas Round your answer to four decimal places Does this proportion differ significantly from the mean proportion for all states Use a 0 05 Find the value of the test statistic Round your answer to two decimal places Find the p value Round your answer to four decimal places p value What is your conclusion O Reject Ho There is sufficient evidence to conclude that the proportion of stay at home residents in Arkansas differs from the overall proportion of 0 577 O Do not reject Ho There is insufficient evidence to conclude that the proportion of stay at home residents in Arkansas differs from the overall proportion of 0 577 O Reject Ho There is insufficient evidence to conclude that the proportion of stay at home residents in Arkansas differs from the overall proportion of 0 577 O Do not reject Ho There is sufficient evidence to conclude that the proportion of stay at home residents in Arkansas differs from the overall proportion of 0 577 c Estimate the proportion of stay at home residents in Virginia Round your answer to four decimal places all stator Use 0 05

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