Accounting A research study in England(1) done by The Education Endowment Foundation (EEF) suggests the measures taken to combat the pandemic have deprived the youngest children of social contact and experiences essential for increasing vocabulary. The study sampled 58 primary schools and found 76% of schools stated students starting school in 2020 needed more communication support than in previous school years. Show your work or calculator functions to answer the following questions. 1. Find the mean and standard deviation of the sampling distribution of the sample proportion of schools stating students starting school in 2020 needed more communication support than in previous years. 2.  What is the probability that the sample proportion of schools stating students starting school in 2020 needed more communication support than in previous years is greater than 70%? 3. What is the probability that the sample proportion of schools stating students starting school in 2020 needed more communication support than in previous years is between 50% and 80%?

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Accounting

A research study in England(1) done by The Education Endowment Foundation (EEF) suggests
the measures taken to combat the pandemic have deprived the youngest children of social
contact and experiences essential for increasing vocabulary. The study sampled 58 primary
schools and found 76% of schools stated students starting school in 2020 needed more
communication support than in previous school years.
Show your work or calculator functions to answer the following questions.
1. Find the mean and standard deviation of the sampling distribution of the sample
proportion of schools stating students starting school in 2020 needed more
communication support than in previous years.
2.  What is the probability that the sample proportion of schools stating students
starting school in 2020 needed more communication support than in previous years is
greater than 70%?
3. What is the probability that the sample proportion of schools stating students
starting school in 2020 needed more communication support than in previous years is
between 50% and 80%?

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