Question

Question 15 Type numbers in the boxes. Find the p-value for the hypothesis test. A random sample of size 54 is taken. The sample has a mean of 426 and a standard deviation of 80. 10 points Ho: u = 400 Ha: 4 # 400 The p-value for the hypothesis test is Your answer should be rounded to 4 decimal places. Question 16 Child Health and Development Studies (CHDS) has been collecting data about Type numbers in the boxes. expectant mothers in Oakland, CA since 1959. One of the measurements taken 10 points by CHDS is the weight increase (in pounds) for expectant mothers in the second trimester. In a fictitious study, suppose that CHDS finds the average weight increase in the second trimester is 14 pounds. Suppose also that, in 2015, a random sample of 45 expectant mothers have mean weight increase of 16.3 pounds in the second trimester, with a standard deviation of 5.9 pounds. A hypothesis test is done to see if there is evidence that weight increase in the second trimester is greater than 14 pounds. Find the p-value for the hypothesis test. The p-value should be rounded to 4 decimal places.

Answer 1

Solution :

Q 15)

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :  $\mu$ = 400

H_a : $\mu$ $\neq$ 400

Test statistic = z

= ($\bar x$ - $\mu$) / $\sigma$ / $\sqrt$n

= (426 - 400) /80 / $\sqrt$54

Test statistic = 2.39

P(z > 2.39) = 2 * [1 - P(z < 2.39)] = 2 * 0.0084‬

P-value = 0.0168‬

Q 16)

Solution :

This is the one tailed test .

The null and alternative hypothesis is ,

H₀ :  $\mu$ = 14

H_a : $\mu$ > 14

Test statistic = z

= ($\bar x$ - $\mu$) / $\sigma$ / $\sqrt$n

= (16.3 - 14) / 5.9 / $\sqrt$45

Test statistic = 2.62

P(z > 2.62) = 1 - P(z < 2.62) = 1 - 0.9956

P-value = 0.0044‬