Question
Please I need help with the last part of the question (part b). Thanks Listed below are the numbers of words spoken in a day
Please I need help with the last part of the question (part b). Thanks
Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below.
Male | 15,441 | 26,995 | 1394 | 8019 | 18,863 | 15,004 | 14,034 | 26,145 | |
---|---|---|---|---|---|---|---|---|---|
Female | 24,369 | 13,310 | 17,706 | 18,182 | 13,422 | 16,644 | 16,712 | 18,036 |
a. Use a
0.01
significance level to test the claim that among couples, males speak fewer words in a day than females.
In this example,
d
is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the words spoken by the male minus words spoken by the female. What are the null and alternative hypotheses for the hypothesis test?
H0:
d
equals=
00
word(s)
H1:
d
less than<
00
word(s)
(Type integers or decimals. Do not round.)
Identify the test statistic.
t=negative 0.43
(Round to two decimal places as needed.)
Identify the P-value.
P-value=0.339
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
Since the P-value is
greater than
the significance level,
fail to reject
the null hypothesis. There
is not
sufficient evidence to support the claim that males speak fewer words in a day than females.
b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?
The confidence interval is
enter your response here
word(s) word(s). (Round to the nearest integer as needed.)
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