7 53% myopenmath.com Test the claim that the proportion of men who own cats is smaller than 70% at the 005 significance level. The null and alternative hypothesis would be: Ho u0.7 H: p 0.7 Ho:p = 0.7 Ho p 0.7 Ho: u 0.7 H 0.7 H1 :p 0.7 H p 0.7 H:p > 0.7 H1 < 0.7 Ho: u0.7 H 0.7 The test is: right-tailed two-tailed left-tailed Based on a sample of 70 people, 61% owned cats * (to 2 decimals) The test statistic is: |* (to 2 decimals) The critical value is: Based on this we: OReject the null hypothesis OFail to reject the null hypothesis In a certain school district, it was observed that 25% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 100 out of 349 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the a = 0.05 level of significance. What is the hypothesized population proportion for this test? р — (Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) Based on the statement of this problem, how many tails would this hypothesis test have? Oone-tailed test Otwo-tailed test Choose the correct pair of hypotheses for this situation: (A) (В) (C) |Но: р %3D 0.25 |Но:р |На:р < 0.25 |Н.:р +0.25 На:р > 0.25 0.25 Ho p 0.25 а . (D) (E) (F) 0.287 Ho p 0.287 |Но :р 3 0.287|Но:р Ha p 0.287 Ha p0.287 Ha p 0.287 (A) (B) (C) Using the normal approximation for the binomial distribution (without the continuity correction), what is the test statistic for this sample based on the sample proportion? = 2 (Report answer as a decimal accurate to 3 decimal places.) You are now ady to calculate the P-value for this sample. P-value = (Report answer as a decimal accurate to 4 decimal places.) This P-value (and test statistic) leads to a decision to... 30

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7 53%
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Test the claim that the proportion of men who own cats is smaller than 70% at the
005 significance level.
The null and alternative hypothesis would be:
Ho u0.7 H: p 0.7 Ho:p = 0.7 Ho p 0.7 Ho: u 0.7
H 0.7 H1 :p 0.7 H p 0.7 H:p > 0.7 H1 < 0.7
Ho: u0.7
H 0.7
The test is:
right-tailed two-tailed left-tailed
Based on a sample of 70 people, 61% owned cats
* (to 2 decimals)
The test statistic is:
|* (to 2 decimals)
The critical value is:
Based on this we:
OReject the null hypothesis
OFail to reject the null hypothesis
Transcribed Image Text:7 53% myopenmath.com Test the claim that the proportion of men who own cats is smaller than 70% at the 005 significance level. The null and alternative hypothesis would be: Ho u0.7 H: p 0.7 Ho:p = 0.7 Ho p 0.7 Ho: u 0.7 H 0.7 H1 :p 0.7 H p 0.7 H:p > 0.7 H1 < 0.7 Ho: u0.7 H 0.7 The test is: right-tailed two-tailed left-tailed Based on a sample of 70 people, 61% owned cats * (to 2 decimals) The test statistic is: |* (to 2 decimals) The critical value is: Based on this we: OReject the null hypothesis OFail to reject the null hypothesis
In a certain school district, it was observed that 25% of the students in the element
schools were classified as only children (no siblings). However, in the special
program for talented and gifted children, 100 out of 349 students are only children.
The school district administrators want to know if the proportion of only children in
the special program is significantly different from the proportion for the school
district. Test at the a =
0.05 level of significance.
What is the hypothesized population proportion for this test?
р —
(Report answer as a decimal accurate to 2 decimal places. Do not report using the
percent symbol.)
Based on the statement of this problem, how many tails would this hypothesis test
have?
Oone-tailed test
Otwo-tailed test
Choose the correct pair of hypotheses for this situation:
(A)
(В)
(C)
|Но: р %3D 0.25 |Но:р
|На:р < 0.25 |Н.:р +0.25 На:р > 0.25
0.25 Ho p 0.25
а .
(D)
(E)
(F)
0.287 Ho p 0.287
|Но :р 3 0.287|Но:р
Ha p 0.287 Ha p0.287 Ha p 0.287
(A) (B) (C)
Using the normal approximation for the binomial distribution (without the continuity
correction), what is the test statistic for this sample based on the sample proportion?
= 2
(Report answer as a decimal accurate to 3 decimal places.)
You are now
ady to calculate the P-value for this sample.
P-value =
(Report answer as a decimal accurate to 4 decimal places.)
This P-value (and test statistic) leads to a decision to...
30
Transcribed Image Text:In a certain school district, it was observed that 25% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 100 out of 349 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the a = 0.05 level of significance. What is the hypothesized population proportion for this test? р — (Report answer as a decimal accurate to 2 decimal places. Do not report using the percent symbol.) Based on the statement of this problem, how many tails would this hypothesis test have? Oone-tailed test Otwo-tailed test Choose the correct pair of hypotheses for this situation: (A) (В) (C) |Но: р %3D 0.25 |Но:р |На:р < 0.25 |Н.:р +0.25 На:р > 0.25 0.25 Ho p 0.25 а . (D) (E) (F) 0.287 Ho p 0.287 |Но :р 3 0.287|Но:р Ha p 0.287 Ha p0.287 Ha p 0.287 (A) (B) (C) Using the normal approximation for the binomial distribution (without the continuity correction), what is the test statistic for this sample based on the sample proportion? = 2 (Report answer as a decimal accurate to 3 decimal places.) You are now ady to calculate the P-value for this sample. P-value = (Report answer as a decimal accurate to 4 decimal places.) This P-value (and test statistic) leads to a decision to... 30
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