hypothesis H0:p=0.65 where p is the proportion of all adults in the city who meet or exceed the CDC's recommendations for physical activity each week. Sample size Sample count Sample proportion Standard error ?-z-Statistic ?n ?x ?̂ p^ ??SE ?z 400 245 0.6125 0.02380 −1.5724 Do the data summarized in the table give convincing evidence that Adam's claim was incorrect? Determine the P-value of the z test statistic against the alternative hypothesis Ha:p≠0.65 P-value
Suppose that Adam is a candidate for city council in a large metropolitan area. While campaigning, he claimed that 65% of adult city residents meet or exceed the recommendations of the Center for Disease Control and Prevention (CDC) for physical activity each week. Jim, a reporter for a local fact-checking website, suspects that Adam pulls numbers out of thin air without doing any research.
To test Adam's assertion, Jim surveyed 400 randomly selected adult city residents and found that 245 of them meet or exceed the CDC's recommendations for weekly physical activity. Jim's sample statistics are summarized in the table. The standard error and z‑statistic were computed using the null hypothesis
| Sample size |
Sample count |
Sample proportion |
Standard error |
?-z-Statistic |
|---|---|---|---|---|
| ?n | ?x | ?̂ p^ | ??SE | ?z |
| 400 | 245 | 0.6125 | 0.02380 | −1.5724 |
Do the data summarized in the table give convincing evidence that Adam's claim was incorrect? Determine the P-value of the z test statistic against the alternative hypothesis
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
