Question

The Food Marketing Institute shows
that 15% of households spend more than $100 per week on groceries.
Assume the population proportion is p = 0.15 and a sample
of 800 households will be selected from the population. Use
z-table.Calculate (), the standard error of the proportion of households
spending more than $100 per week on groceries (to 4
decimals). What is the probability that the sample proportion will be
within +/- 0.02 of the population proportion (to 4 decimals)? What is the probability that the sample proportion will be within +/- 0.02 of the population proportion for a sample of 1,800 households (to 4 decimals)? |

Answer #1

1)

std error of proportion=σ_{p}=√(p*(1-p)/n)= |
0.0126 |

2) probability that the sample proportion will be within +/- 0.02 of the population proportion :

probability = | P(0.13<X<0.17) | = | P(-1.58<Z<1.58)= | 0.9429-0.0571= |
0.8858 |

3)

sample size =n= | 1800 |

std error of proportion=σ_{p}=√(p*(1-p)/n)= |
0.0084 |

probability = | P(0.13<X<0.17) | = | P(-2.38<Z<2.38)= | 0.9913-0.0087= |
0.9826 |

The Food Marketing Institute shows that 15% of households spend
more than $100 per week on groceries. Assume the population
proportion is p = 0.15 and a sample of 700 households will
be selected from the population. Use z-table.
Calculate (), the standard error of the proportion of
households spending more than $100 per week on groceries (to 4
decimals).
What is the probability that the sample proportion will be
within +/- 0.02 of the population proportion (to 4...

The Food Marketing Institute shows that 15% of households spend
more than $100 per week on groceries. Assume the population
proportion is p = 0.15 and a sample of 600 households will be
selected from the population. Use z-table.
Calculate (), the standard error of the proportion of households
spending more than $100 per week on groceries (to 4 decimals).
What is the probability that the sample proportion will be
within +/- 0.02 of the population proportion (to 4 decimals)?...

The Food Marketing Institute shows that 15% of households spend
more than $100 per week on groceries. Assume the population
proportion is p = 0.15 and a sample of 800 households will be
selected from the population. Use z-table.
What is the probability that the sample proportion will be
within +/- 0.02 of the population proportion for a sample of 1,800
households (to 4 decimals)?

The Food Marketing Institute shows that 15% of households spend
more than $100 per week on groceries. Assume the population
proportion is p = 0.15 and a sample of 800 households will
be selected from the population. Use z-table.
What is the probability that the sample proportion will be
within +/- 0.02 of the population proportion (to 4 decimals)?
What is the probability that the sample proportion will be
within +/- 0.02 of the population proportion for a sample of...

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What is the probability that the sample proportion will be
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The Food Marketing Institute shows that 16% of households spend
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more than $100 per week on groceries. Assume the population
proportion is p = 0.17 and a sample of 600 households will be
selected from the population. Use z-table.
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