Ina previoun year, 57% of females aged 15 and older lived alone. A socidlogst tests wether this percertage is dfferert today by conducting a random sample of 450 females aged 15 and older and finds that 264 are living alone. there sufficient evidence at the a 0 05 level of significance to conclude the proportion has changed? Becane r (1-) -O 10, the sample size is 5% of the popation size, and the sample a random sample, al of the roquirements for testing the hypothesis satisfied (Round to one decimal place as needed) Identity the n and altemative hypotheses lor this test versus H (Type integers or decimals. Do not round) 16 Find the test statistic for thes hypothesis test (Round to two decimal places an needed ) Determine the Pvalue for this hypothesis test Pvalue (Round to three decimal places a reeded) Stale the conclusion for ths hypothesis test Since the Pvalue is than There sufticient evidence at the a level of signdicance to conclude that the proportion of females aged 15 and older who are living alone has changed (Type an integer or a decimal Do not round)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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In a previous year, 57% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 450 females aged 15 and older and finds that 264 are living alone.
there sufficient evidence at the oa3D0.05 level of significance to conclude the proportion has changed?
wwww.w
Because npo (1- po)
(Round to one decimal place as needed.)
10, the sample size is
5% of the population size, and the sample
a random sample, all of the requirements for testing the hypothesis
satisfied.
Identify the null and alternative hypotheses for this test.
Ho:
(Type integers or decimals. Do not round.)
versus H:
Find the test statistic for this hypothesis test.
zo =D
(Round to two decimal places as needed.)
Determine the P-value for this hypothesis test.
P-value =
(Round to three decimal places as needed.)
State the conclusion for this hypothesis test.
Since the P-value is
than a,
Ho. There
sufficient evidence at the a=
level of significance to conclude that the proportion of females aged 15 and older who are living alone has changed.
(Type an integer or a decimal. Do not round.)
Statcrunch
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Transcribed Image Text:In a previous year, 57% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 450 females aged 15 and older and finds that 264 are living alone. there sufficient evidence at the oa3D0.05 level of significance to conclude the proportion has changed? wwww.w Because npo (1- po) (Round to one decimal place as needed.) 10, the sample size is 5% of the population size, and the sample a random sample, all of the requirements for testing the hypothesis satisfied. Identify the null and alternative hypotheses for this test. Ho: (Type integers or decimals. Do not round.) versus H: Find the test statistic for this hypothesis test. zo =D (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. P-value = (Round to three decimal places as needed.) State the conclusion for this hypothesis test. Since the P-value is than a, Ho. There sufficient evidence at the a= level of significance to conclude that the proportion of females aged 15 and older who are living alone has changed. (Type an integer or a decimal. Do not round.) Statcrunch Next 8:01 SAMSUNG esc %23 $ & 1 2 4 6 7 backspace 8 tab e *00 口85 #3
Three years ago, the mean price of an existing single-family home was $243,758. A real estate broker believes that existing home prices in her neighborhood are lower.
(a) State the null and alternative hypotheses in words.
(b) State the null and alternative hypotheses symbolically.
(c) Explain what it would mean to make a Type l error.
(d) Explain what it would mean to make a Type II error.
OC. The mean price of a single family home in the broker's neighborhood is different from $243,758.
O D. The mean price of a single family home in the broker's neighborhood is $243,758.
(b) State the hypotheses symbolically.
Ho:
$4
$4
H1:
(Type integers or decimals. Do not round.)
(c) What would it mean to make a Type I error?
the hypothesis that the mean price is
when the true mean price is
$4
The broker
(Type integers or decimals. Do not round.)
(d) What would it mean to make a Type II error?
The broker
the hypothesis that the mean price is
when the true mean price is
(Type integers or decimals. Do not round.)
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Transcribed Image Text:Three years ago, the mean price of an existing single-family home was $243,758. A real estate broker believes that existing home prices in her neighborhood are lower. (a) State the null and alternative hypotheses in words. (b) State the null and alternative hypotheses symbolically. (c) Explain what it would mean to make a Type l error. (d) Explain what it would mean to make a Type II error. OC. The mean price of a single family home in the broker's neighborhood is different from $243,758. O D. The mean price of a single family home in the broker's neighborhood is $243,758. (b) State the hypotheses symbolically. Ho: $4 $4 H1: (Type integers or decimals. Do not round.) (c) What would it mean to make a Type I error? the hypothesis that the mean price is when the true mean price is $4 The broker (Type integers or decimals. Do not round.) (d) What would it mean to make a Type II error? The broker the hypothesis that the mean price is when the true mean price is (Type integers or decimals. Do not round.) Next Statcrunch 8:00 SAMSUNG esc %23 $ backspace 1 4 7 8. tab e t y i %24 %24 口85
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