STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week. Let p-hat be the proportion of people in the sample who attended church. A newspaper report claims that 40% of all U.S. adults went to church last week. Suppose this claim is true. Calculate the standard deviation of the sampling distribution.
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0.0116
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0.0117
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0.0118
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0.0119
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Explanation:
Detailed explanation-1: -Explanation of Solution This then implies that if use the sample sizes 135 then the standard deviation of the sampling distribution of the sample proportions is reduced to one-third of its original value.
Detailed explanation-2: -The sample proportion, often denoted by “p-hat, ‘’ is the ratio of the number of successes in a sample to the size of that sample.
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