Does this sample provide evidence that the grocery store manager overstated the true proportion? Justify your answer.

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3. A grocery store manager claims that 75% of shoppers purchase bananas as least once a month. Technology
was used to simulate choosing 150 SRSS of size n = 100 from a population of shoppers where 75% buy
bananas. The dotplot shows p= the sample proportion of shoppers who bought bananas in the past month.
A random sample of 100 shoppers from the store were selected and 64 bought bananas in the past month.
Does this sample provide evidence that the grocery store manager overstated the true proportion? Justify
your answer.
0.6
0.7 0.75 0.8
p=simulated sample proportion of
shoppers that bought bananas.
0.65
AP Statistics 7.2
0.85
Name:
1. Suppose you are going to roll a fair six-sided die 10 times and record p, the proportion of times that a 1 or a
2 is showing.
(a) What is the mean of the sampling distribution of p?
(b) What is the standard deviation of the sampling distribution of p? Interpret this value.
(c) Describe the shape of the sampling distribution of p. Justify your answer.
Transcribed Image Text:3. A grocery store manager claims that 75% of shoppers purchase bananas as least once a month. Technology was used to simulate choosing 150 SRSS of size n = 100 from a population of shoppers where 75% buy bananas. The dotplot shows p= the sample proportion of shoppers who bought bananas in the past month. A random sample of 100 shoppers from the store were selected and 64 bought bananas in the past month. Does this sample provide evidence that the grocery store manager overstated the true proportion? Justify your answer. 0.6 0.7 0.75 0.8 p=simulated sample proportion of shoppers that bought bananas. 0.65 AP Statistics 7.2 0.85 Name: 1. Suppose you are going to roll a fair six-sided die 10 times and record p, the proportion of times that a 1 or a 2 is showing. (a) What is the mean of the sampling distribution of p? (b) What is the standard deviation of the sampling distribution of p? Interpret this value. (c) Describe the shape of the sampling distribution of p. Justify your answer.
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