A report by the Gallup Poll found that a woman visits her doctor, on average, at most 5.8 times each year. A random sample of 20 women results in these yearly visit totals.

3; 2; 1; 3; 7; 3; 9; 4; 6; 6; 8; 0; 5; 6; 4; 2; 1; 3; 4; 1

At the

? = 0.05

level can it be concluded that the sample mean is higher than 5.8 visits per year?

Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

Part (a)

State the null hypothesis.

H0:

? > 5.8

H0:

? 5.8

H0:

? 5.8

H0:

? 5.8

Correct: Your answer is correct.

State the alternative hypothesis.

Ha:

? 5.8

Ha:

? < 5.8

Ha:

? = 5.8

Ha:

? > 5.8

Correct: Your answer is correct.

Part (b)

State the p-value. (Round your answer to four decimal places.)

Part (c)

State alpha. (Enter an exact number as an integer, fraction, or decimal.)

Part (d)

What is your decision?

reject the null hypothesis

do not reject the null hypothesis

Part (e)

Write a conclusion

There is sufficient evidence to conclude that the mean number of visits of women with their doctor is more than 5.8.

There is not sufficient evidence to conclude that the mean number of visits of women with their doctor is more than 5.8.