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Is there a difference in fruit consumption between males and females? A researcher decided to put this hypothesis to the test. She surveyed a sample

Is there a difference in fruit consumption between males and females?

A researcher decided to put this hypothesis to the test. She surveyed a sample of 91 students in PH167 Fall 2021 and obtained information on their fruit consumption. Determine whether the proportion of females consuming 2 or more fruits a day is significantly different from that of males.

Sex Consumed 2+ servings of fruit? Total
Yes No
Female 50 26 76
Male 7 8 15

1. What is thep^for females (p^1)?

Group of answer choices

0.549

0.342

0.467

0.658

2. What is thep^for males (p^2)?

Group of answer choices

0.467

0.658

0.285

0.286

3. What is the prevalence ratio?

Group of answer choices

0.71

0.70

1.41

1.40

4. Is this a positive or negative association?

Group of answer choices

Positive

Negative

5. Does this represent an increase or decrease in the prevalence of consuming 2 or more servings a day of fruit in females compared to males?

Group of answer choices

Decrease

Increase

6. Express this prevalence ratio as a percentage:

Group of answer choices

40%

41%

141%

-29%

7. Is the proportion of females consuming 2 or more daily servings of fruit significantly different from males? Use the 95% Confidence Interval to determine this. [Hint: If there is no Difference between p1 and p2, what should the RR be compared to?] First, what are the null and alternative hypotheses?

Group of answer choices

RR =1; RR #1

RR =0 ; RR #0

IPD =1; IPD #1

IPD =0; IPD >1

8. Calculate a 95% confidence interval for the prevalence ratio as described in Question 30 above [Hint, first calculate the 95% CI for Ln PR (use the 95% CI for Ln RR)]

Group of answer choices

(0.221, 0.909)

(0.80, 2.48)

(0.69, 0.93)

(0.79, 2.31)

9. Based on the 95% CI you just calculated, is the proportion of females consuming 2 or more fruit servings daily significantly different from the proportion of males?

Group of answer choices

Yes

No

10. Why or why not?

Group of answer choices

The confidence interval includes the prevalence ratio

The confidence interval does not include the null value

The confidence interval includes the null value

The confidence interval does not include the prevalence ratio

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