Question

In a study of the accuracy of fast food drive-through orders, Restaurant A had

241241

accurate orders and

6565

that were not accurate.

a. Construct a

9595%

confidence interval estimate of the percentage of orders that are not accurate.

b. Compare the results from part (a) to this

9595%

confidence interval for the percentage of orders that are not accurate at Restaurant B:

0.1860.186less than<pless than<0.2780.278.

What do you conclude?

Answer #1

a)

sample proportion, pcap = 0.2124

sample size, n = 306

Standard error, SE = sqrt(pcap * (1 - pcap)/n)

SE = sqrt(0.2124 * (1 - 0.2124)/306) = 0.0234

Given CI level is 95%, hence α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025, Zc = Z(α/2) = 1.96

CI = (pcap - z*SE, pcap + z*SE)

CI = (0.2124 - 1.96 * 0.0234 , 0.2124 + 1.96 * 0.0234)

CI = (0.1665 , 0.2583)

b)

The calculated CI operlaps with (0..186 < 0.278)

There is not sufficient evidence to conclude that the proportion is
different for two restaurants

In a study of the accuracy of fast food drive-through orders,
Restaurant A had 208208 accurate orders and 7272 that were not
accurate. a. Construct a 9595% confidence interval estimate of the
percentage of orders that are not accurate. b. Compare the results
from part (a) to this 9595% confidence interval for the
percentage of orders that are not accurate at Restaurant B:
0.2350.235less than

In a study of the accuracy of fast food drive-through orders,
Restaurant A had
336336
accurate orders and
7171
that were not accurate.
a. Construct a
9090%
confidence interval estimate of the percentage of orders that
are not accurate.
b. Compare the results from part (a) to this
9090%
confidence interval for the percentage of orders that are not
accurate at Restaurant B:
0.1630.163less than<pless than<0.2190.219.
What do you conclude?

In a study of the accuracy of fast food drive-through orders,
Restaurant A had
343343
accurate orders and
5252
that were not accurate.
a. Construct a
9090%
confidence interval estimate of the percentage of orders that
are not accurate.
b. Compare the results from part (a) to
this
9090%
confidence interval for the percentage of orders that are not
accurate at Restaurant B:
0.1190.119less than<pless than<0.1740.174.
What do you conclude?

In a study of the accuracy of fast food drive-through orders,
Restaurant A had 304 accurate orders and
72 that were not accurate. a. Construct a 90%
confidence interval estimate of the percentage of orders that are
not accurate. b. Compare the results from part
(a) to this
90% confidence interval for the percentage of orders that are
not accurate at Restaurant B: 0.1730.173less than<pless
than<0.2470.247. What do you conclude?
Express the percentages in decimal form.

In a study of the accuracy of fast food drive-through orders,
Restaurant A had
267
accurate orders and
72
that were not accurate.
a. Construct a
90%
confidence interval estimate of the percentage of orders that
are not accurate.
b. Compare the results from part (a) to this
90%
confidence interval for the percentage of orders that are not
accurate at Restaurant B:
0.1950 <0.262
What do you conclude?

In a study of the accuracy of fast food drive-through orders,
Restaurant A had 221 accurate orders and 64 that were not
accurate.
a. Construct a 95% confidence interval estimate of the
percentage of orders that are not accurate.
b. Compare the results from part (a) to this 95% confidence
interval for the percentage of orders that are not accurate at
Restaurant B: 0.196<p<0.304.
What do you conclude?

In a study of the accuracy of fast food drive-through orders,
Restaurant A had 296 accurate orders and 61 that were not accurate.
a. Construct a 95% confidence interval estimate of the percentage
of orders that are not accurate. b. Compare the results from part
(a) to this 95% confidence interval for the percentage of orders
that are not accurate at Restaurant B: 0.154 < p < 0.225.
What do you conclude?

In a study of the accuracy of fast food drive-through orders,
Restaurant A had 210 accurate orders and 67 that were not
accurate.
a. Construct a 90% confidence interval estimate of the
percentage of orders that are not accurate.
b. Compare the results from part (a) to this 90% confidence
interval for the percentage of orders that are not accurate at
Restaurant B: 0.222 <p< 0.307. What do you conclude?

In a study of the accuracy of fast food drive-through orders,
Restaurant A had 245 accurate orders and 71 that were not accurate.
a.) Construct a 90% confidence interval estimate of the percentage
of orders that are not accurate. b.) Compare the results from part
(a) to this 90% confidence interval for the percentage of orders
that are not accurate at Restaurant B: 0.204< p < 0.288.
What do you conclude?
a) Construct a 90% confidence interval. Express the percentages...

In a study of the accuracy of fast food drive-through orders,
Restaurant A had 260 accurate orders and 74 that were not accurate.
a. Construct a 95% confidence interval estimate of the percentage
of orders that are not accurate. b. Compare the results from part
(a) to this 95% confidence interval for the percentage of orders
that are not accurate at Restaurant B: 0.198 < p < 0.295.
What do you conclude? a. Construct a 95% confidence interval.
Express the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 3 minutes ago

asked 7 minutes ago

asked 14 minutes ago

asked 16 minutes ago

asked 23 minutes ago

asked 23 minutes ago

asked 23 minutes ago

asked 24 minutes ago

asked 29 minutes ago

asked 53 minutes ago

asked 54 minutes ago