P-value, conclusion, confidence interval, interpret result, statistics homework help

A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 58 men and 76 women to participate in the study. Each subject was required to step up and down a​ 6-inch platform. The pulse of each subject was then recorded. The following results were obtained.

Two sample T for Men vs Women

                 N           Mean       StDev        SE Mean

Men       58          112.1      11.3               1.5

Women  76         118.5       14.7              1.7

99% Cl for mu Men – mu Women

( – 12.34, -0.46)

T-Test mu Men = mu Women (vs <)

T = -2.85  = 0.0025 DF = 131

This is the null and alternative hypotheses. 

H0​: μ1 = μ2​; Ha​: μ1 < μ2

Identify the​ P-value and state the​ researcher’s conclusion if the level of significance was alphaαequals=0.01 What is the​ P-value?

P-value = ___

State the researcher’s conclusion. Which of the following is correct?

 A) Fail to reject H0​, there is not sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women

 B) Reject H0​, there is not sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women

C) Reject H0​, there is sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women

D) Fail to reject H0​, there is sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women

What is the 99% confidence interval for the mean difference in pulse rates of men versus women?

(__ , __) (Use ascending order. Round to two decimal places as needed.)

Interpret this result.

​A) 99% percent of the time the means are in the confidence interval.

B) 99​% percent of the time the mean difference is in the confidence interval.

C)We are 99​% confident that the mean difference is in the confidence interval.

D) We are 99​% confident that the means are in the confidence interval.

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