Question 1 A bank offers three types of welcoming gifts to VISA card applicants. Gift A: $400 supermarket coupon Gift B: a 2-persons tea set voucher Gift C: 8 sets of movie tickets Based on the table below, construct a 95% confidence interval estimate of the population proportion of applicants choose $400 supermarket coupon.
Question 1 A bank offers three types of welcoming gifts to VISA card applicants. Gift A: $400 supermarket coupon Gift B: a 2-persons tea set voucher Gift C: 8 sets of movie tickets Based on the table below, construct a 95% confidence interval estimate of the population proportion of applicants choose $400 supermarket coupon.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 20PFA
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Can use the photo to show all the steps?
Transcribed Image Text:(Show your calculation steps. Correct you answer to 4 decimal places and report the measurement unit
when applicable)
Question 1
A bank offers three types of welcoming gifts to VISA card applicants.
Gift A: $400 supermarket coupon
Gift B: a 2-persons tea set voucher
Gift C: 8 sets of movie tickets
Based on the table below, construct a 95% confidence interval estimate of the population proportion of
applicants choose $400 supermarket coupon.
The choice made by a random sample of 40 applicants is as follow:
В
A
В
C
А
A
C
A
A
В
A
A
В
А
C
В
В
В
A
A
В
A
В
A
A
В
A
C
A
C
A
C
A
А
A
В
A
A
В
A
Question 2
In a city, according to a 1990 demographic report based on the census result, the average daily spending on
food per person is $75.
In 2020, a random sample of 28 persons in the same city is selected and the daily spending ($) on food for
each interviewee is recorded as follow:
55.0
59.5
62.5
65.5
68.5
69.0
70.0
70.0
82.0
82.5
83.5
85.0
86.0
86.5
86.5
87.0
87.0
87.0
89.0
92.5
93.0
94.5
94.5
96.0
98.0
102.5
108.5
110.5
(a) Find the point estimate for the population mean daily spending on food per person in year 2020.
(b) It is assumed that the spending is normally distributed.
Construct a 90% confidence interval estimate
for the population mean daily spending on food per person in year 2020.
(c) Is there sufficient evidence to conclude that the population mean daily spending on food per person in
2020 is higher than 1990?
Test at 1% level of significance. (State clearly the null hypothesis,
alternatively hypothesis, rejection region, test statistics and conclusion.)
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