Math  /  Data & Statistics

QuestionQ1(6). Parents were asked if sports are equally important for boys and girls. Suppose that the proportion of parents who agree the equal importance in the population is actually 0.65 . In a survey, of the 400 parents interviewed, 70%70 \% agreed that boys and girls should have equal opportunities to participate in sports.
1(2). Describe the sampling distribution of the sample proportion of parents who agree that boys and girls should have equal opportunities.
2(4). What is the probability of observing a sample proportion as large as or larger than the observed value p^\hat{p} =0.70?=0.70 ?

Studdy Solution
The sampling distribution of the sample proportion is approximately normal with a mean of 0.65 and a standard deviation of approximately 0.0238.
The probability of observing a sample proportion as large as or larger than 0.70 is approximately 0.0179.

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