Question: A smoking cessation program for long-term smokers claimed a relapse rate of 60% in rural settings, thought to be acceptable. A health organization wanted to
A smoking cessation program for long-term smokers claimed a relapse rate of 60% in rural settings, thought to be acceptable. A health organization wanted to test the program in a city setting and proceeded to set up a trial. The health organization formulated the following null, 0H0, and alternative, 1H1, hypotheses to reflect their presumption that the relapse rate in the city would be higher. The symbol p below denotes the proportion of smokers who relapse.
0:=0.60 H1:p>0.60
The health organization recruited a random sample of 100 long-term smokers who were willing to participate in the cessation program. After one year, they found that 67 participants had relapsed. The sample statistics are summarized as follows.
| Sample size | Sample count | Sample proportion | Standard error | One-sample zstatistic |
|---|---|---|---|---|
| SE | ||||
| 100 | 67 | 0.67 | 0.04899 | 1.4289 |
The next step in the analysis is to obtain the pvalue. Use software to determine the pvalue of the one-sample z-statistic. You might find this list of software manuals useful.
Give your answer as a decimal precise to four decimal places.
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