Question

4. A researcher believes that the proportion of a community’s
population in favor of a new park is greater than the countywide
proportion of 0.65. A survey of 67 people in the community reveals
that the estimated proportion of the community in favor of it is
equal to 0.76. Use alpha = 0.05. State the null and alternative
hypotheses, find the test statistic, compare it with the critical
value, make a decision, and find the *p*-value.

PLEASE HELP!

Answer #1

4. A researcher believes that the proportion of a community’s
population in favor of a new park is greater than the countywide
proportion of 0.65. A survey of 67 people in the community reveals
that the estimated proportion of the community in favor of it is
equal to 0.76. Use alpha = 0.05. State the null and alternative
hypotheses, find the test statistic, compare it with the critical
value, make a decision, and find the p-value.

A researcher believes that the proportion of a community’s
population in favor of a new park is greater than the countywide
proportion of 0.65. A survey of 67 people in the community reveals
that the estimated proportion of the community in favor of it is
equal to 0.76. Use alpha = 0.05. State the null and alternative
hypotheses, find the test statistic, compare it with the critical
value, make a decision, and find the p-value.

A researcher believes that community B has a lower income than
community A. Forty people are surveyed in each of the two
communities regarding their income. In place A, the mean among the
40 individuals is 62 (given in thousands; you can ignore the
‘thousands’ and just use ‘61’), and the variance is 95; in place B,
the mean among the 40 surveyed is 59, and the variance is
100. Test the null hypothesis that the two communities
have equal...

A researcher believes that community B has a lower income than
community A. Forty people are surveyed in each of the two
communities regarding their income. In place A, the mean among the
40 individuals is 62 (given in thousands; you can ignore the
‘thousands’ and just use ‘61’), and the variance is 95; in place B,
the mean among the 40 surveyed is 59, and the variance is
100. Test the null hypothesis that the two communities
have equal...

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in the neighborhood is no different from that in the county. State
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A survey of n = 50 people reveals that the proportion of
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Alternative hypothesis:
Statistical test:
Significance level (I'll pick it for you; alpha = .05)
Critical region for rejecting null hypothesis:
Calculate the statistic (please show your work):
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C. A researcher uses ANOVA to test 4 groups with n=13 in each
group and obtains an F=2.85. Is this value sufficient to reject the
null with alpha = 0.05? Provide the degrees of freedom values, the
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