Question

Based on historical data, your manager believes that 31% of the company's orders come from first-time customers. A random sample of 128 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.32?

Note: You should carefully round any intermediate values you calculate to 4 decimal places to match wamap's approach and calculations.

Answer = (Enter your answer as a number accurate to 4 decimal places.)

Answer #1

Solution:- Given that p = 0.31, n = 128, p^ = 0.32

P(p^ < 0.32) = P((p^-p)/sqrt(pq/n) <
(0.32-0.31)/sqrt(0.31*0.69/128))

= P(Z < 0.2446)

= 0.5948

Use the standard normal table to find this area :

Z | 0.00 | 0.01 | 0.02 | 0.03 | 0.04 |
0.05 | 0.06 | 0.07 | 0.08 | 0.09 |

0.0 | 0.5 | 0.504 | 0.508 | 0.512 | 0.516 | 0.5199 | 0.5239 | 0.5279 | 0.5319 | 0.5359 |

0.1 | 0.5398 | 0.5438 | 0.5478 | 0.5517 | 0.5557 | 0.5596 | 0.5636 | 0.5675 | 0.5714 | 0.5753 |

0.2 |
0.5793 | 0.5832 | 0.5871 | 0.591 | 0.5948 | 0.5987 | 0.6026 | 0.6064 | 0.6103 |
0.6141 |

Based on historical data, your manager believes that 32% of the
company's orders come from first-time customers. A random sample of
178 orders will be used to estimate the proportion of
first-time-customers. What is the probability that the sample
proportion is less than 0.29?
Note: You should carefully round any z-values you calculate to 4
decimal places to match wamap's approach and calculations.
Answer = (Enter your answer as a number accurate to 4
decimal places.)

Based on historical data, your manager believes that 32% of the
company's orders come from first-time customers. A random sample of
178 orders will be used to estimate the proportion of
first-time-customers. What is the probability that the sample
proportion is less than 0.29?
Note: You should carefully round any z-values you calculate to 4
decimal places to match wamap's approach and calculations.
Answer = (Enter your answer as a number accurate to 4
decimal places.)

Based on historical data, your manager believes that 27% of the
company's orders come from first-time customers. A random sample of
79 orders will be used to estimate the proportion of
first-time-customers. What is the probability that the sample
proportion is greater than than 0.3?
Note: You should carefully round any z-values you calculate to 4
decimal places to match wamap's approach and calculations.
Answer = (Enter your answer as a number accurate to 4
decimal places.)

Based on historical data, your manager believes that 45% of the
company's orders come from first-time customers. A random sample of
123 orders will be used to estimate the proportion of
first-time-customers. What is the probability that the sample
proportion is between 0.21 and 0.48?
Note: You should carefully round any z-values you calculate to 4
decimal places to match wamap's approach and calculations.
Answer = (Enter your answer as a number accurate to 4
decimal places.)

Based on historical data, your manager believes that 33% of the
company's orders come from first-time customers. A random sample of
147 orders will be used to estimate the proportion of
first-time-customers. What is the probability that the sample
proportion is less than 0.28?
Note: You should carefully round any z-values you calculate to 4
decimal places to match wamap's approach and calculations.
Answer should be 4 decimal places.

Based on historical data, your manager believes that 27% of the
company's orders come from first-time customers. A random sample of
68 orders will be used to estimate the proportion of
first-time-customers. What is the probability that the sample
proportion is less than 0.29?
Note: You should carefully round any z-values you calculate to 4
decimal places to match wamap's approach and calculations.

Based on historical data, your manager believes that 28% of the
company's orders come from first-time customers. A random sample of
154 orders will be used to estimate the proportion of
first-time-customers. What is the probability that the sample
proportion is greater than than 0.44?
Answer = (Enter your answer as a number accurate to 4 decimal
places.)

Based on historical data, your manager believes that 38% of the
company's orders come from first-time customers. A random sample of
97 orders will be used to estimate the proportion of
first-time-customers. What is the probability that the sample
proportion is between 0.25 and 0.45?
Answer =
(Enter your answer as a number accurate to 4 decimal
places.)

Based on historical data, your manager believes that 28% of the
company's orders come from first-time customers. A random sample of
139 orders will be used to estimate the proportion of
first-time-customers. What is the probability that the sample
proportion is between 0.28 and 0.44?
Answer = (Enter your answer as a number accurate to 4
decimal places.)

Based on historical data, your manager believes that 28% of the
company's orders come from first-time customers. A random sample of
175 orders will be used to estimate the proportion of
first-time-customers. What is the probability that the sample
proportion is greater than than 0.22?
Answer = (Enter your answer as a number accurate to 4
decimal places.)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 18 minutes ago

asked 20 minutes ago

asked 20 minutes ago

asked 50 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago