Question
Need help with C Bolded last question A survey of 900 adults from a certain regionasked, What do you buy from your mobiledevice? The results
Need help with C Bolded last question
A survey of 900 adults from a certain regionasked, "What do you buy from your mobiledevice?" The results indicated that 49% of the females and 42% of the males answered clothes. The sample sizes of males and females were not provided. Suppose that of 300 females, 147 reported they buy clothing from their mobiledevice, while of 600 males, 252 reported they buy clothing from their mobile device. Complete parts(a) through(d) below.
a. Is there evidence of a difference between males and females in the proportion who said they buy clothing from their mobile device at the 0.1 level ofsignificance?
State the null and alternativehypotheses, where 1 is the population proportion of females who said they buy clothing from their mobile device and 2 is the population proportion of males who said they buy clothing from their mobile device.
A.
H0: 1=2
H1: 1>2
B.
H0: 12
H1: 1=2
C.
H0: 12
H1: 1>2
D.
H0: 1=2
H1: 1<2
E.
H0: 1=2
H1: 12
Your answer is correct.
F.
H0: 12
H1: 1<2
Determine the value of the test statistic.
ZSTAT=
1.99
1.99 n integer or a decimal. Round to two decimal places asneeded.)
Determine the criticalvalue(s) for this test of hypothesis.
The criticalvalue(s) is(are)
negative 1.64 comma 1.64
1.64,1.64.
integers or decimals. Round to two decimal places as needed. Use a comma to separate answers asneeded.)
State the conclusion.
Reject
the null hypothesis. There is sufficient
evidence to support the claim that there is a difference between males and females in the proportion who said they buy clothing from their mobile device
b. Find thep-value in(a) and interpret its meaning.
Thep-value in part(a) is
0.046
0.046.
Round to three decimal places asneeded.)
What does thep-value mean?
A.
Thep-value is the probability that the null hypothesis is true.
B.
Thep-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true.
Your answer is correct.
C.
Thep-value is the probability of rejecting the null hypothesis if the test were repeated for different samples.
D.
Thep-value is the probability of falsely rejecting the null hypothesis.
c. Construct and interpret a 90% confidence interval estimate for the difference between the proportion of males and females who said they buy clothing from their mobile device.
The confidence interval is to
.
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