Question
I need help with stats/2023, section 8.4, please help with TI-84 commands, thanks In a survey of 1000 drivers from Region A, 858 wear a
I need help with stats/2023, section 8.4, please help with TI-84 commands, thanks
In a survey of
1000
drivers from Region A,
858
wear a seat belt. In a survey of
1000
drivers from Region B,
908
wear a seat belt. At
=0.10,
is there evidence to support the claim that the proportion of drivers who wear seat belts in Region A is less than the proportion of drivers who wear seat belts in Region B? Assume that the samples are random and independent. There are parts (a) through (e) below.
a) Identify the claim and state
H0
and
Ha.
Identify the claim. Let population 1 be drivers from Region A and let population 2 be drivers from Region B. Choose the correct answer below.
A. The claim is that the proportions of drivers who wear seat belts in both regions are equal.
B. The claim is that the proportion of drivers who wear seat belts in Region A is greater than the proportion of drivers who wear seat belts in Region B.
C. The claim is that the proportions of drivers who wear seat belts in both regions add up to 1.
D The claim is that the proportion of drivers who wear seat belts in Region A is less than the proportion of drivers who wear seat belts in Region B.
Write the Ho and Ha and state the claim:
(b) find the critical value(s) and identify the rejection region(s) select the correct choice below and fill in the answer boxes to complete your choice.
A. There is one critical value, z0 =______________________, and one rejection region, z>_____________. (round to 2 decimal places)
B. There is one critical value, z0= __________________________, and one rejection region, z<___________. (round to 2 decimal places)
C. There are two critical values, z0=________________________, and 2 rejection regions, z < __________ and z> ___________ (round to 2 decimal places and use a comma to separate as needed)
(c) find the statistical test statistic, z.
z=____________________________ (round to 2 decimal places)
(d) decide whether to reject or fail to reject the null hypothesis.
since z (1) ______________________________ ( is or is not) in the rejection region(s), (2) _________________ (fail to reject or reject) H0.
(e) interpret the results
THere is (3) _______________________ (is or is not) enough evidence at the a=10 level of significance to support the claim that the proportion of drivers who wear seat belts in Region A is (4)__________________________________ (less than, not equal to, equal to, or greater than) the proportion of drivers who wear seat belts in Region B.
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