MY NOTES Past experience is that when individuals are approached with a request to fill out...

Transcribed Image Text:

MY NOTES Past experience is that when individuals are approached with a request to fill out and return a particular questionnaire in a provided stamped and addressed envelope, the response rate is 41%. An investigator believes that if the person distributing the questionnaire is stigmatized in some obvious way, potential respondents would feel sorry for the distributor and thus tend to respond at a rate higher than 41%. To test this theory, a distributor wore an eye patch. Of the 200 questionnaires distributed by this individual, 101 were returned. Does this provide evidence that the response rate in this situation is greater than the previous rate of 41%? State and test the appropriate hypotheses at significance level 0.05. USE SALT State the appropriate null and alternative hypotheses. (Let p be the true proportion of questionnaires returned when the distributor wears an eye patch. Enter != for + as needed.) Ho Ha Find the test statistic. (Round your answer to two decimal places.) Use technology to find the p-value. (Round your answer to four decimal places.) p-value = State the conclusion in the problem context. Do not reject Ho. We have convincing evidence that more than 41% of all people who could be approached with a questionnaire will respond when the distributor wears an eye patch. Do not reject Ho. We do not have convincing evidence that more than 41% of all people who could be approached with a questionnaire will respond when the distributor wears an eye patch. Reject Ho. We have convincing evidence that more than 41% of all people who could be approached with a questionnaire will respond when the distributor wears an eye patch. Reject Ho We do not have convincing evidence that more than 41% of all people who could be approached with a questionnaire will respond when the distributor wears an eye patch. MY NOTES Past experience is that when individuals are approached with a request to fill out and return a particular questionnaire in a provided stamped and addressed envelope, the response rate is 41%. An investigator believes that if the person distributing the questionnaire is stigmatized in some obvious way, potential respondents would feel sorry for the distributor and thus tend to respond at a rate higher than 41%. To test this theory, a distributor wore an eye patch. Of the 200 questionnaires distributed by this individual, 101 were returned. Does this provide evidence that the response rate in this situation is greater than the previous rate of 41%? State and test the appropriate hypotheses at significance level 0.05. USE SALT State the appropriate null and alternative hypotheses. (Let p be the true proportion of questionnaires returned when the distributor wears an eye patch. Enter != for + as needed.) Ho Ha Find the test statistic. (Round your answer to two decimal places.) Use technology to find the p-value. (Round your answer to four decimal places.) p-value = State the conclusion in the problem context. Do not reject Ho. We have convincing evidence that more than 41% of all people who could be approached with a questionnaire will respond when the distributor wears an eye patch. Do not reject Ho. We do not have convincing evidence that more than 41% of all people who could be approached with a questionnaire will respond when the distributor wears an eye patch. Reject Ho. We have convincing evidence that more than 41% of all people who could be approached with a questionnaire will respond when the distributor wears an eye patch. Reject Ho We do not have convincing evidence that more than 41% of all people who could be approached with a questionnaire will respond when the distributor wears an eye patch.