Renata takes a sample of 25 different-gender married couples. In her sample, she found that the husband was 2.74 years older on average, and differences in the husband's and wife's ages had a standard deviation of 3.67 years. To a significance level of 0.05, test the claim that there exists no significant difference in age between husbands and wives. Please write your answers to at least four decimal places. a. What will our hypotheses look like? Ho: Pa = 0 HA: Ma < 0 Ho: Pd = 0 HA: μα > 0 Ho: μd = 0 HA: на ≠ 0 b. What is the standard error? c. What is the test statistic? d. What is the p-value? e. Based on this p-value, at a significance level of a = 0.05, would we reject the null hypothesis? Fail to reject H Reject H

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how do i solve all parts (a-e)
Renata takes a sample of 25 different-gender married couples. In her sample, she found that the husband was
2.74 years older on average, and differences in the husband's and wife's ages had a standard deviation of 3.67
years.
To a significance level of 0.05, test the claim that there exists no significant difference in age between
husbands and wives. Please write your answers to at least four decimal places.
a. What will our hypotheses look like?
Ho: Pa = 0
HA: Md < 0
Ho: a = 0
HA: Md > 0
Ho: μd = 0
HA: Ma 0
b. What is the standard error?
c. What is the test statistic?
d. What is the p-value?
e. Based on this p-value, at a significance level of a = 0.05, would we reject the null hypothesis?
Fail to reject H
Reject H
Transcribed Image Text:Renata takes a sample of 25 different-gender married couples. In her sample, she found that the husband was 2.74 years older on average, and differences in the husband's and wife's ages had a standard deviation of 3.67 years. To a significance level of 0.05, test the claim that there exists no significant difference in age between husbands and wives. Please write your answers to at least four decimal places. a. What will our hypotheses look like? Ho: Pa = 0 HA: Md < 0 Ho: a = 0 HA: Md > 0 Ho: μd = 0 HA: Ma 0 b. What is the standard error? c. What is the test statistic? d. What is the p-value? e. Based on this p-value, at a significance level of a = 0.05, would we reject the null hypothesis? Fail to reject H Reject H
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