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Suppose in a representative sample of adult Americans ages 26 to 32 years 28 indicated that they owned a fitness band that kept track of the number of steps walked each day and their daily activity levels Suppose that the sample size was 400 Is there convincing evidence that more than one quarter of all adult Americans in this age group own a fitness band Test the relevant hypotheses using a significance level of 0 05 State the appropriate null and alternative hypotheses Let p the population proportion of adult Americans ages 26 to 32 years who own a fitness band Enter for as needed Ho H USE SALT 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 MY NOTES State the conclusion in the problem context Reject Ho We have convincing evidence that more than one quarter of all adult Americans ages 26 to 32 years own a fitness band Reject Ho We do not have convincing evidence that more than one quarter of all adult Americans ages 26 to 32 years own a fitness band Fail to reject Ho We have convincing evidence that more than one quarter of all adult Americans ages 26 to 32 years own a fitness band Fail to reject Ho We do not have convincing evidence that more than one quarter of all adult Americans ages 26 to 32 years own a fitness band

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