According to its records, a hospital claims that theproportion,p, of full-term babies born in the community who weigh more than/pounds is40%. A pediatrician who works with several community hospitals would like to verify the hospital's claim and investigate. In a random sample of215babies born in the community,90 weighed more than 7pounds. Is there sufficient evidence to reject the claim at the significance level of0.10? Perform a two-tailed test. Then complete the parts below. Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas.) (to) (b) (c) (d) Formulate the null hypothesish and the alternative hypothesish 1" ho: p=0.40 h, :p> 0.40 Determine which type of test statistic to use. Find the value of the test statistic. (Round to three or more decimal places.) 0.557 Find the p-value. (Round to three or more decimal places.) (and) Can we reject the claim that the proportion of term babies born in hospital who weigh more than 7pounds is40%? H |x X a 0*0 S 10 00 X 2 Р 0=0 Oso 020 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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According to its records, a hospital claims that theproportion,p, of full-term babies born in the community who weigh more than7pounds is40%. A pediatrician
who works with several community hospitals would like to verify the hospital's claim and investigate. In a random sample of215babies born in the community, 90
weighed more than 7pounds. Is there sufficient evidence to reject the claim at the significance level of0.10?
Perform a two-tailed test. Then complete the parts below.
Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas .)
(to) Formulate the null hypothesish and the alternative hypothesish
ho: p = 0.40
0
(b)
(c)
(d)
1
p> 0.40
Determine which type of test statistic to use.
Z
1'
Find the value of the test statistic. (Round to three or more decimal places.)
0.557
Find the p-value. (Round to three or more decimal places.)
0
(and) Can we reject the claim that the proportion of term babies born in hospital
who weigh more than7pounds is40%?
μ
X S
0=0
о р
X
OSO
☐#0 O<O
<o
ロミロ
Ś
Transcribed Image Text:According to its records, a hospital claims that theproportion,p, of full-term babies born in the community who weigh more than7pounds is40%. A pediatrician who works with several community hospitals would like to verify the hospital's claim and investigate. In a random sample of215babies born in the community, 90 weighed more than 7pounds. Is there sufficient evidence to reject the claim at the significance level of0.10? Perform a two-tailed test. Then complete the parts below. Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas .) (to) Formulate the null hypothesish and the alternative hypothesish ho: p = 0.40 0 (b) (c) (d) 1 p> 0.40 Determine which type of test statistic to use. Z 1' Find the value of the test statistic. (Round to three or more decimal places.) 0.557 Find the p-value. (Round to three or more decimal places.) 0 (and) Can we reject the claim that the proportion of term babies born in hospital who weigh more than7pounds is40%? μ X S 0=0 о р X OSO ☐#0 O<O <o ロミロ Ś
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