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	16,238	26,978	1397	7550	19,344	15,268	13,698	25,968
Female	25,356	12,880	17,705	18,000	13,306	16,539	16,535	18,963

Question content area bottom

Part 1

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=

less than<

not equals

greater than>

equals=

00

word(s)

H1:

d

less than<

not equals

equals=

greater than>

less than<

00

word(s)

(Type integers or decimals. Do not round.)

Part 2

Identify the test statistic.

t=enter your response here

(Round to two decimal places as needed.)

Part 3

Identify the P-value.

P-value=enter your response here

(Round to three decimal places as needed.)

Part 4

What is the conclusion based on the hypothesis test?

Since the P-value is

less than or equal to

greater than

the significance level,

reject

fail to reject

the null hypothesis. There

is

is not

sufficient evidence to support the claim that males speak fewer words in a day than females.Part 5b. 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.)Part 6What feature of the confidence interval leads to the same conclusion reached in part (a)?Since the confidence interval contains

only positive numbers,

only negative numbers,

zero,

reject

fail to reject

the null hypothesis