Question

Text: About 40% of homeowners in California should have earthquake insurance. A public official is concerned that too few homeowners are buying insurance. In a survey of 337 randomly selected homes, 133 are found to be insured. Name the parameter the public official is concerned about? Null and alternative hypothesis? Z and p-value? Correction: About 40% of homeowners in California should have earthquake insurance. A public official is concerned that too few homeowners are buying insurance. In a survey of 337 randomly selected homes, 133 are found to be insured. Parameter the public official is concerned about: The proportion of homeowners in California who have earthquake insurance. Null hypothesis: The proportion of homeowners in California who have earthquake insurance is equal to 40%. Alternative hypothesis: The proportion of homeowners in California who have earthquake insurance is less than 40%. Z-value: To calculate the Z-value, we need the sample proportion, the population proportion, and the sample size. The Z-value can be calculated using the formula: Z = (sample proportion - population proportion) / sqrt((population proportion * (1 - population proportion)) / sample size) P-value: The p-value is the probability of obtaining a test statistic as extreme as the observed result, assuming the null hypothesis is true. It can be calculated using a Z-table or statistical software.

          Text: About 40% of homeowners in California should have earthquake insurance. A public official is concerned that too few homeowners are buying insurance. In a survey of 337 randomly selected homes, 133 are found to be insured. Name the parameter the public official is concerned about? Null and alternative hypothesis? Z and p-value?

Correction: About 40% of homeowners in California should have earthquake insurance. A public official is concerned that too few homeowners are buying insurance. In a survey of 337 randomly selected homes, 133 are found to be insured. 

Parameter the public official is concerned about: The proportion of homeowners in California who have earthquake insurance.

Null hypothesis: The proportion of homeowners in California who have earthquake insurance is equal to 40%.

Alternative hypothesis: The proportion of homeowners in California who have earthquake insurance is less than 40%.

Z-value: To calculate the Z-value, we need the sample proportion, the population proportion, and the sample size. The Z-value can be calculated using the formula: Z = (sample proportion - population proportion) / sqrt((population proportion * (1 - population proportion)) / sample size)

P-value: The p-value is the probability of obtaining a test statistic as extreme as the observed result, assuming the null hypothesis is true. It can be calculated using a Z-table or statistical software.

Added by Nicole S.

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