E. What is the p value for the test statistic in part D? the t test was 18.00 F.

Question

E. What is the p value for the test statistic in part D?

the t test was 18.00

F. Is your decision to reject or fail to reject the null hypothesis from part A? Explain why

G. Is there statistical evidence that the mean heights of males and females are different in this population?

H. How could you answer this research question using a confidence interval? (You don’t have to actually do it, just explain what you could do.)

I. Construct a 95% confidence interval for the difference in the proportion of males and females who own wearable technology.

J. Interpret the 95% confidence interval that you constructed in part I.

K. A research team hypothesizes that people who are dieting are more likely to own wearable technology. Use the five-step hypothesis testing procedure to determine if there is evidence to support this claim.

Step 1:

Step 2:

Step 3:

Step 4:

Step 5:

Descriptive Statistics: Height Statistics Variable Biological SexNN Mean SE Mean StDev Minimum Q1 Median Q3 Maximum 69 282 0 64.4512 0 3.2066 51.0000 62.8750 64.7500 67.0000 72.0000 243 0 69.977402459 3.8328 57.0000 68.0000 70.0000 72.0000 82.0000 Height 69 69 69 Female Male

Explanation / Answer

Solution:

E) P-Value = 0.000

F) Reject Ho since p-value is less than 0.05.

G) Yes, since we have rejected Ho, we conclude that the mean heights of males and females are significantly different in this population.

H) If the confidence interval doesn’t include zero, Ho is rejected and we conclude that the mean heights of males and females are significantly different in this population.

I) Test and CI for Two Proportions: Wearable Technology, Biological Sex

Event = Yes

Biological
Sex X N Sample p
Female 89 283 0.314488
Male 53 217 0.244240

Difference = p (Female) - p (Male)
Estimate for difference: 0.0702480
95% CI for difference: (-0.00845412, 0.148950)

J) We are 95% confident that the difference in the proportion of males and females who own wearable technology is within this interval (-0.00845412, 0.148950)

K) Step 1:
Ho: people who are dieting are equally likely to own wearable technology compared to people who are not dieting
Ha: People who are dieting are more likely to own wearable technology
Step 2:
Use two sample proportion test
=0.05
Step 3:
Decision rule: Reject H0 if P-value<0.05

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