An article reported that 68% of the general population belong to a religious com
ID: 3232748 • Letter: A
Question
An article reported that 68% of the general population belong to a religious community. In a survey on internet use, 86%of "religion surfers" (defined as those who seek spiritual help online or who have used the web to search for prayer and devotional resources) belong to a religious community. Suppose that this result was based on a sample of 512 religion surfers. Is there convincing evidence that the proportion of religion surfers who belong to a religious community is different from 0.68, the proportion for the general population? Use = 0.05. (Round your test statistic to two decimal places and your P-value to four decimal places.)
There is ---Select--- enough not enough evidence to suggest that the proportion of religion surfers that belong to a religious community is different than 68%.
z = P =Explanation / Answer
The statistical software output for this problem is:
One sample proportion hypothesis test:
p : Proportion of successes
H0 : p = 0.68
HA : p 0.68
Hypothesis test results:
Hence,
z = 8.73
P - value = 0.0000
There is enough evidence to suggest that the proportion of religion surfers that belong to a religious community is different than 68%.
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 440.32 512 0.86 0.020615528 8.7312825 <0.0001Related Questions
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