Increasing numbers of businesses are offering child-care benefits for their workers. However, one union claims that more than 85% of firms in the manufacturing sector still do not offer any child-care benefits to their workers. A random sample of 490 manufacturing firms is selected and asked if they offer child-care benefits. Suppose the P-value for this test was reported to be p = 0.1070. Use a = 0.10. A) Hypothesis: Ho : Ha : B) Decision about Ho based on the statistic. C) Conclusion about the problem statement.
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H₀: p = 0.85 (85% of firms do not offer child-care benefits) Hₐ: p > 0.85 (more than 85% of firms do not offer child-care benefits) B) We are given a P-value of 0.1070 and a significance level (α) of 0.10. To make a decision about the null hypothesis, we compare Show more…
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Increasing numbers of businesses are offering child-care benefits for their workers. However, one union claims that more than 85% of firms in the manufacturing sector still do not offer any child-care benefits to their workers. A random sample of 490 manufacturing firms is selected and asked if they offer child-care benefits. Suppose the P-value for this test was reported to be p = 0.1070. Use α = 0.10. A) Hypothesis: Ho: The proportion of manufacturing firms that offer child-care benefits is equal to or greater than 85%. Ha: The proportion of manufacturing firms that offer child-care benefits is less than 85%. B) Decision about Ho based on the statistic. Since the P-value (0.1070) is greater than the significance level (α = 0.10), we fail to reject the null hypothesis. C) Conclusion about the problem statement. Based on the random sample of 490 manufacturing firms, there is not enough evidence to support the claim that more than 85% of firms in the manufacturing sector do not offer any child-care benefits to their workers.
Kari H.
11. Increasing numbers of businesses are offering child-care benefits for their workers. However, one union claims that more than 85% of firms in the manufacturing sector still do not offer any child-care benefits to their workers. A random sample of 430 manufacturing firms is selected, and only 32 of them offer child-care benefits. Specify the values of z for which the null hypothesis (p = .85) would be when testing at α = 0.10.
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Increasing numbers of businesses are offering child-care benefits for their workers. However, one union claims that more than 85% of firms in the manufacturing sector still do not offer any child-care benefits. A random sample of 260 manufacturing firms is selected and asked if they offer child-care benefits. Suppose the p-value for this test was reported to be p = 0.1154. State the conclusion of interest to the union.
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