4.44 Nearsighted: It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted. Use 5% error level. (a) Construct hypotheses appropriate...


4.44 Nearsighted: It is believed that nearsightedness affects about 8% of all children. In a random sample<br>of 194 children, 21 are nearsighted. Use 5% error level.<br>(a) Construct hypotheses appropriate for the following question: do these data provide evidence that the<br>8% value is inaccurate?<br>О Но: р %3D.08<br>На: р *.08<br>O Ho: p = .08<br>На: р> .08<br>O Ho: p = .08<br>На: р <.08<br>(b) What proportion of children in this sample are nearsighted?<br>(round to four decimal places)<br>(c) Given that the standard error of the sample proportion is 0.0195 and the point estimate follows a nearly<br>normal distribution, calculate the test statistic (use the Z-statistic).<br>Z =<br>(please round to two decimal places)<br>%3D<br>(d) What is the p-value for this hypothesis test?<br>(please round to four decimal places)<br>(e) What is the conclusion of the hypothesis test?<br>O Since p<a we reject the null hypothesis and accept the alternative<br>Since p 2 a we do not have enough evidence to reject the null hypothesis<br>O Since p<a we fail to reject the null hypothesis<br>Since p 2 a we reject the null hypothesis and accept the alternative<br>Since p 2 a we accept the null hypothesis<br>

Extracted text: 4.44 Nearsighted: It is believed that nearsightedness affects about 8% of all children. In a random sample of 194 children, 21 are nearsighted. Use 5% error level. (a) Construct hypotheses appropriate for the following question: do these data provide evidence that the 8% value is inaccurate? О Но: р %3D.08 На: р *.08 O Ho: p = .08 На: р> .08 O Ho: p = .08 На: р <.08 (b)="" what="" proportion="" of="" children="" in="" this="" sample="" are="" nearsighted?="" (round="" to="" four="" decimal="" places)="" (c)="" given="" that="" the="" standard="" error="" of="" the="" sample="" proportion="" is="" 0.0195="" and="" the="" point="" estimate="" follows="" a="" nearly="" normal="" distribution,="" calculate="" the="" test="" statistic="" (use="" the="" z-statistic).="" z="(please" round="" to="" two="" decimal="" places)="" %3d="" (d)="" what="" is="" the="" p-value="" for="" this="" hypothesis="" test?="" (please="" round="" to="" four="" decimal="" places)="" (e)="" what="" is="" the="" conclusion="" of="" the="" hypothesis="" test?="" o="" since="">
Jun 09, 2022
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