State the null hypothesis H0? and the alternative hypothesis H1? . H0:? H1:? (b) Determine the type of test statistic to use. ▼(Choose one) chi square ? z? t? f? (c) Find the value of the test statistic. ? (Round to three or more decimal places.)
A hospital claims that the proportion, p , of full-term babies born in their hospital that weigh more than 7 pounds is 42%. In a random sample of 175 babies born in this hospital, 68 weighed over 7pounds. Is there enough evidence to reject the hospital's claim at the 0.05 level of significance? Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
| (a) | State the null hypothesis
H0?
H1?
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H0:?
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H1:?
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| (b) | Determine the type of test statistic to use. | |
| ▼(Choose one) chi square ? z? t? f? |
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| (c) | Find the value of the test statistic. ? (Round to three or more decimal places.) | |
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| (d) | Find the p-value.? (Round to three or more decimal places.) | |
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| (e) | Can we reject the claim that the proportion of full-term babies born in their hospital that weigh more than
7 pounds is 42% ?
yes or no?
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As per our guidelines , we are allowed to answer three sub-parts only. Thanks
The following information is provided: The sample size is , the number of favorable cases is , and the sample proportion is , and the significance level is
(a) Null and Alternative Hypotheses
The following null and alternative hypotheses need to be tested:
(proportion of full-term babies born in their hospital that weigh more than 7 pounds is 42%)
((proportion of full-term babies born in their hospital that weigh more than 7 pounds is not 42%)
(b)This corresponds to a two-tailed test, for which a z-test for one population proportion needs to be used.
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