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In: Statistics and Probability

Question 7 (1 point) A survey asked subjects, "Should the government increase its spending on health?"...

Question 7 (1 point)

A survey asked subjects, "Should the government increase its spending on health?" 317 of those 340 who responded said "yes."

Test, at level 0.05, that the majority of people in the population would say "yes" to the survey question.

The test is

Question 7 options:

a one-sample t test

a one-sample z test

a two-sample t test

a two-sample z test

Question 8 (1 point)

A survey asked subjects, "Should the government increase its spending on health?" 317 of those 340 who responded said "yes."

Test, at level 0.05, that the majority of people in the population would say "yes" to the survey question.

The p-value is

Question 8 options:

less than 0.001

between 0.001 and 0.01

between 0.01 and 0.05

greater than 0.05

Question 9 (1 point)

A survey asked subjects, "Should the government increase its spending on health?" 317 of those 340 who responded said "yes."

Test, at level 0.05, that the majority of people in the population would say "yes" to the survey question.

The conclusion of the test is

Question 9 options:

The data provide sufficient evidence that the majority of people in the population would say "yes" to the survey question.

The data do not provide sufficient evidence that the majority of people in the population would say "yes" to the survey question.

The data provide sufficient evidence that less than 50% of people in the population would say "yes" to the survey question.

The data do not provide sufficient evidence that less than 50% of people in the population would say "yes" to the survey question.

Question 10 (1 point)

A survey asked people who work full time, "How do you spend your time on a typical day?" 74% of 733 women and 55% of 1219 men reported spending some time on cooking and washing up.

What is a 95% confidence interval for the difference between the proportion of women and the proportion of men who spend some time on cooking and washing up during a typical day?

Question 10 options:

(0.158, 0.222)

(0.154, 0.226)

(0.134, 0.246)

(0.147, 0.233)

Question 11 (1 point)

A survey asked people who work full time, "How do you spend your time on a typical day?" 74% of 733 women and 55% of 1219 men reported spending some time on cooking and washing up.

Test, at significance level 0.05, that the proportion of women is greater than the proportion of men who spend some time on cooking and washing up during a typical day.

The test is

Question 11 options:

a one-sample t test

a one-sample z test

a two-sample t test

a two-sample z test

Question 12 (1 point)

A survey asked people who work full time, "How do you spend your time on a typical day?" 74% of 733 women and 55% of 1219 men reported spending some time on cooking and washing up.

Test, at significance level 0.05, that the proportion of women is greater than the proportion of men who spend some time on cooking and washing up during a typical day.

The p-value is

Question 12 options:

Less than 0.001

between 0.001 and 0.01

between 0.01 and 0.05

greater than 0.05

Question 13 (1 point)

A survey asked people who work full time, "How do you spend your time on a typical day?" 74% of 733 women and 55% of 1219 men reported spending some time on cooking and washing up.

Test, at significance level 0.05, that the proportion of women is greater than the proportion of men who spend some time on cooking and washing up during a typical day.

We can conclude that

Question 13 options:

The data provide sufficient evidence that the proportion of women is greater than the proportion of men who spend some time on cooking and washing up during a typical day.

The data do not provide sufficient evidence that the proportion of women is greater than the proportion of men who spend some time on cooking and washing up during a typical day.

Solutions

Expert Solution

7:

one sample z test

8:

Answer: less than 0.001

--------------------------------

9:

The data provide sufficient evidence that the majority of people in the population would say "yes" to the survey question.

-------------------------------------------

10:

Correct option (0.147, 0.232)

--------------------------------

11:

two sample z test

-------------------------

12:

Answer: p-value is less than 0.001

13:

The data provide sufficient evidence that the proportion of women is greater than the proportion of men who spend some time on cooking and washing up during a typical day.


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